Thursday, December 1, 2022

Chart Names

This has been added to the compound posting "Measurement", September 2021.

For most of human history the vast majority of people have lived in relatively small communities. They knew virtually all of the people that they interacted with. In recent times that has definitely changed. Not only is there more people but the size of cities has grown exponentially. With more moving around knowing the people that we are interacting with is getting to be more the exception than the rule.

First names, such as James, William, Mary, Charles, and so on, are useful only as long as we are dealing with people that we know. A first name doesn't tell you much about a person, other than whether they are male or female and maybe their ethnicity. First names are from the days when people knew most of those that they would interact with.

What if we could make first names more useful? We could do that if names could tell us more about a person, specifically what they looked like.

Suppose that you are working behind a counter and there are thirty people in the room in front of you. You see the person that you are looking for but don't know their name. How would you get their attention? You could shout out "sir" or "ma'am", until they looked your way, but that would disturb everyone in the room.

You see someone fleeing and suspect that they have committed a crime. How would you very quickly describe what they look like? 

You send a driver to give someone a ride from an event, but the driver and rider don't know each other. How would you quickly give the driver an idea of who to look for, considering that there might be a hundred people there and a photograph of a person often isn't a good guide to recognition?

You are writing a story and describing what a person looks like. Describing how a person looks is often a laborious process, don't you wish there was an easier way?

So much nowadays has been categorized, to make identification or computer programming easier. The categorization is usually done with numbers, every shade of every color has been assigned a number for example. Why couldn't we categorize what people look like, not by number but by name?

We could make up a chart with drawings or photographs of three hundred different people. Half would be male and half female. They would all look different from one another. One or another of the people on the chart would have every different combination of race, general height, general body structure, general ethnicity, skin tone and, hair color. Everyone in the world would fairly closely resemble one of the people on the chart.

Next we would give everyone on the chart a first name. The name of the person on the chart that you most closely resembled would be your "Chart Name". You wouldn't need to give the name to anyone because it would be obvious by just looking on the chart. But you would look up if anyone called the name. Hard copy charts could be posted on walls in offices and charts could easily be standard features on phones.

The reason this hasn't already been done is that classifying people by their physical features hints at racism. This is not any scientific classification of how people look, it is just for the purpose of recognition. We could also do the classification by numbers but I think it would be better to have a name to call to get someone's attention. The purpose of this is recognition at a distance, and so we probably wouldn't include eye color.

The examples of people on the chart would be in their prime. A general age could also be specified, including if it was a child. Possibly a separate chart of children could be made. It would not include anything uncomplimentary or readily subject to change, or whether the person was disabled in any way. 

It would not include any reference to excess weight or baldness or wrinkles. The description would be of the person whole and in their prime. It would have no reference to hairstyle and a person's Chart Name would change if they changed their hair color.

This will not only be helpful in crime fighting, making possible a quick description of a person and bringing up an image resembling the person, but will also cut down on fraud since a person's facial photograph often doesn't look a lot like them, especially if it was taken some time ago.

The Primary Currency Denomination

This has been added to the compound posting "Economics", November 2019.

Each country has it's denomination of currency, dollars, euros, pounds, pesos, and so on. What I mean is the one that is most-used. The dollar, for example, is the denomination of American currency but hasn't been the primary denomination in decades.

The primary denomination changes over time due to inflation. A good place to see what the primary denomination is can be found at ATMs. What is the denomination dispensed by ATMs? That is the primary denomination of that country.

The denomination of American currency is dollars, but the primary denomination is twenty dollars. In a high percentage of economic transactions involving cash the buyer will hand over the primary denomination, and get lesser denominations back as change.

The primary denomination is virtually always issued as bills, rather than as coins. A sure sign of a shifting primary denomination is for a country to switch lower denominations from bills to coins.

A long time ago in America, maybe in the 1950s, a dollar was indeed both the denomination and the primary denomination. As change there were quarters, 25 cents, dimes, ten cents, and nickels, 5 cents.

Today the primary denomination is twenty dollars. Five dollar bills are the new quarters. One dollar bills are the new nickels.

The primary denomination shows up in other ways. The total price of a meal in an ordinary restaurant, including drink and tip, tends to be right around the primary currency denomination. If adults, of ordinary economic status, bet on a sports event the amount most likely to be bet is the primary denomination. The average price of admission to a show or event for two tends to be right around the primary denomination.

But the best indicator of what the primary denomination is can be seen as the bills ordinarily dispensed from ATMs.

The Story Of A River

Last week I used the formation of oxbow lakes in a young river as an illustration of where to look for wormholes.

We might as well look at what the Buffalo River is all about because an oxbow lake, or the lack thereof, tells us a lot about how the river formed. Young rivers, which often form from the water of melting glaciers at the end of an ice age, tend to meander.

Surges of water may cause the river to overflow and find a "shortcut" across the bends. The bends are thus cut off from the river's flow and the entrance to the bend will silt up. The course of the river thus gradually straightens out and the former bend in the river may remain separated as an oxbow lake.

The Buffalo River formed in such a way after the end of the last ice age. It empties into Lake Erie. The question is why an oxbow lake formed upstream in the river, in West Seneca in the following image,

Image from Google Earth.

But not downstream in the bends closest to the lake, as seen in the following image,

Image from Google Earth.

The explanation is that Lake Erie, swelled by water from the melting glaciers at the end of the last ice age, was once larger than it is now. The enlarged version of Lake Erie is referred to as Lake Warren, and the enlarged version of Lake Ontario as Lake Iroquois.

As the waters from the melting glaciers gradually drained into the ocean the lake receded to the present shoreline of Lake Erie. The Buffalo River followed, and formed a meandering course as new rivers tend to do. But with the water levels receded there were no more surges of water enough to find the shortcuts across the bends. So, unlike further upstream, the bends in the Buffalo River near the shore of Lake Erie remain today.

For a look at what I have found in the natural history of the Niagara area here is a link:

www.markmeeksideas.blogspot.com/2019/06/niagara-natural-history-summary.html?m=0

Thursday, November 24, 2022

Light And Wormholes

So much seems to have been written about wormholes. These are, at this point, the theoretical "holes" in the fabric of space that provide a "shortcut" from one place to another in the universe. 

Wormholes are often associated with black holes. A black hole is so-called because anything that goes in can never get out, not even light, so great is it's gravity. But what is the reason that nothing ever emerges from a black hole? Could it be a one-way door to somewhere else in the universe?

This idea of a "shortcut" across space isn't quite as far-fetched as it might sound. When a smaller object is in orbit around a larger one, a planet around a star, five Lagrangian Points are manifested. These are the points where the gravity of the two balances. The James Webb Space Telescope is at earth's L2. It is known that, while Lagrangian Points don't provide wormholes, it requires much less energy to move an object from one Lagrangian Point to another than it would otherwise.

I have another idea of what wormholes likely are, if they exist, and how we might look for them. My approach involves the nature of light and how we fit into the universe.

A basic presumption in science is that we have an unbiased view of the universe, that we can completely rely on our measurements and observations. For other sciences, such as chemistry and meteorology, that presumption works fine. But when we get to cosmology, the fundamental nature of the universe, things change. So much about the universe that we cannot explain neatly falls into place when we realize that we do not have an unbiased view of the universe. We are part of the universe, and see it as we do, not only because of what it is but also because of what we are.

I have long been interested in the relationship between straight lines and light. We define a straight line as "the shortest possible distance between two points". The trouble with that is that we get most of our information from light. We will always perceive light as traveling in a straight line. The path taken by light is our definition of a straight line.

We know that gravity bends light, and scientists are making use of "gravitational lensing". But what if there was some other definition of straight lines in space that light was not taking? The light, and other electromagnetic waves, that we rely on for information about the universe may indeed be taking a roundabout way to get to us that we have not yet detected, simply because we will always perceive light as moving in a straight line. It is only relatively recently that gravitational lensing has been proven to occur.

If there was another definition of a straight line, aside from the path of light that we will always perceive as a straight line, that means there would be "shortcuts" across space that we would be unable to see. This does not necessarily involve other dimensions, only the nature of light and the way it passes through space.

Could that be what wormholes are,missedey exist? I think this would be by far the most sensible explanation, and would free us from looking for the bizarre physics that would be needed to explain how "doorways" in space exist. 

It may not be that the universe has bizarre features beyond our understanding, but that we have too much confidence that we have an unbiased view of the universe and that we can completely rely on our observations and measurements. We are made of matter ourselves and, as part of the universe, we see it as we do not only because of what it is but also because of what we are. We rely on light for information but this means we will always perceive that light as moving in a straight line.

If an electron, moving through a wire as an electric current, could think it would always perceive itself as moving in a straight line, no matter how tangled the wire might be. The only definition the electron has of a straight line is it's own movement. If the electron was suddenly given an opportunity to jump across a loop in the wire, it would see this as a wormhole.

The best analogy that I can think of actually comes from physical geography. It is what is known as an "oxbow lake". 

This is the Buffalo River, in Buffalo NY. The reason that it has twists and turns like this is that it is a new river, only formed after the end of the last ice age. Image from Google Earth.

New rivers tend to meander at first and then, when surges of water come through, to find their way across the loops to a more direct route. The loops are cut off from the main river and it's entrances eventually silt up. The loop remains, filled with water but cut off from the river, as an oxbow lake. The Buffalo River has an oxbow lake, in West Seneca, although it isn't easily visible. The intersection at the top if French Road and Clinton Street. Image from Google Earth.

While looking around the world on Google Earth, here in an oxbow lake that I noticed in Brazil. Image from Google Earth.

Here is one south of Saskatoon. Image from Google Earth.

If the molecules of water in winding rivers were cosmologists they would see the new and shorter route that they had found as a wormhole, an unprecedented doorway through the earth. This is because they would be unable to see the flow of the river as being anything but a straight line. The truth would be that there was nothing at all unprecedented about the "wormhole" that they had found. The new shorter route would not be a "wormhole" at all, it would just be that they couldn't see that the river wasn't traveling in a straight line. The only definition of a straight line that they would have is the flow of the river.

Brilliant Meteor Across Toronto

This week a brilliant meteor lit up the night sky over Toronto. It was captured on many security cameras, and other automatic cameras. The meteorite is believed to have landed in Lake Ontario. 

By the way it is a "meteor" when it is in the sky and a "meteorite" after it has landed. One thing that I have never figured out is why the study and forecasting of weather is called "meteorology". Isn't that what the study of meteors should be called?

Does anyone remember the meteor of August 25, 1995? 

In the early morning hours of August 25, 1995, I was going westward on River Road, in North Tonawanda and Wheatfield, NY. I was having automotive issues and trying to get my car back home. The engine was overheating so I would drive until the temperature gauge reached the danger zone, stop and wait until the engine cooled, and then drive some more.

A brilliant blue light crossed the sky, moving southwestward. At first I wasn't sure how high it was but there were cumulus clouds in the sky and I could see that it was illuminating the clouds from above. It wasn't a completely steady light, like an electric light, it was more like an object was burning.

There was no sound that I could hear, even allowing for the time it would take for sound to reach me.

I thought it was a plane and was horrified that I might have witnessed the death of a planeload of people. Hopefully it was a military or cargo plane so that only a few people would have died. I scanned the radio for any information about a plane in trouble but found nothing. Neither was there anything in the news the next day about a plane.

It turned out to have been a meteor, and hundreds of people saw it. A trailer was destroyed by fire in Windsor, Ontario. Some have speculated that it was due to the impact of the meteorite. Investigators claimed that nothing like meteor debris was found, and there was no sonic boom.

But it might have been a piece of space junk, rather than a meteor, which wouldn't be obvious in the ruins of the trailer. A small object doesn't make a significant sonic boom. Most bullets travel faster than the speed of sound but don't make a sonic boom.

Water In Winter

During the winter we may wonder about a few things. 

We know that low clouds, cumulus and status, are made of water droplets. But how can clouds be made of water if the temperature is below freezing? It can be far below the freezing point and these clouds are still there.

How do snowflakes form perfectly symmetrical patterns? But the pattern in each snowflake is different from the others.

Why are those rings that form on icicles that contain impurities exactly one cm apart?

Sand is rock that has been broken down by the incessant impact of waves. But why are grains of water the scale that they are? It is because of the nature of water, rather than the nature of rock.

Why is water ideal for nuclear processes? Heavy water is water where the hydrogen atoms in the molecule each has a neutron. This makes it so that it will slow neutrons down, but not absorb them, which makes heavy water ideal as a moderator. It is also used in hydrogen, or thermonuclear, bombs, as a layer of heavy water around an ordinary atomic bomb. The molecules of heavy water are fused together by the energy that is released, releasing far more energy.

Here is a link to my theory of how water works, "Water Made Really Simple", on the meteorology and biology blog:

www.markmeeklife.blogspot.com/2012/11/water-made-really-simple.html?m=0

Thursday, November 17, 2022

The Universe Is Flat And Infinite

It was recently announced that scientists generally believe the universe to be "flat and infinite". But I find this to be redundant and the reason involves the nature of infinity.

Saying that the universe is infinite simply means that it goes on forever. Describing the space of the universe as "flat", as opposed to "curved", is a question of cosmology. The surface of the earth is curved so that, if we keep flying in a straight line in a plane we will eventually return to our starting point.

Likewise, if the space of the universe is "flat", it means that, if we send a spacecraft out into space in a straight line, it will forever keep getting further and further from us. But if the space of the universe is curved, and we wait long enough, the spacecraft will eventually return to us just as the plane flying around the world will eventually return to it's starting point.

If we had an infinitely powerful telescope, and we looked out into space with it, if the space of the universe was curved we could theoretically see ourselves from behind.

There are other theories of the shape of space in the universe, such as saddle-shaped, but it is not something that we can observe directly. A sphere is defined as having "positive curvature", in that it curves toward itself. A saddle-shape, in contrast, is a negative curvature because it curves away from itself.

We get our information about the universe from light, and other electromagnetic waves. But light will follow whatever the shape of space is and we will always see light as traveling in a straight line. This means that we will always perceive the universe as being "flat".

This is not exactly the same thing as whether the universe is "open" or "closed", which is also debated. Most people believe the universe to have begun with the "Big Bang", and having been expanding outward ever since. If the expansion of the universe slows down, so that it will possibly fall back together by it's own gravity, the universe is referred to as "closed". If it will keep expanding forever, never falling back together, it is referred to as "open".

If the universe is infinite that means that it goes on forever. But if the universe is infinite that means we would have to travel an infinite distance before we would experience any curvature, no matter what the shape of space in the universe was. This is nothing to do with cosmology but with the nature of infinity.

To describe the universe as "flat and infinite" is redundant because, if the universe is infinite, we can never perceive it as anything but flat. The space in the universe might be shaped like a pretzel but, even if we had a way to detect the curvature, we would have to travel an infinite distance in space to be able to detect any curvature at all.

The surface of a sphere is curved. The smaller the sphere the greater the surface curvature per distance, and the larger the sphere the less it's curvature per distance. This means that, if there was an infinite sphere, the surface curvature would have to be zero even though it would still be a sphere. We would have to travel an infinite distance on the surface of the sphere before we could detect any curvature at all. So it is with the universe if it is infinite, we cannot perceive it as anything but flat.

This is related to my concept of straight lines. The trouble with straight lines is that we get our information from light and we will thus always perceive light as traveling in a straight line. If an electron moving in a wire could think it would always perceive itself as moving in a straight line, no matter how tangled the wire was. In a similar way, if the universe is infinite we must always perceive it as flat.

I proposed defining a straight line as an arc of an infinite circle, as well as discussing the nature of infinity, in the posting "Infinite Geometry" on the Progress Blog, markmeekprogress.blogspot.com .

Murders West Of Toronto

Did anyone notice that the house in the town of Dundas, just north of Hamilton, where Richard Taylor murdered his mother and stepfather is visible on Google Earth? 

Richard Taylor was a teacher that had trouble handling money. He was deeply in debt but kept his wife convinced that they were well off and had lots of money. In doing so he weaved a tangled web of lies that were in danger of unraveling.

He knew that he would get a lot of money upon the death of his mother who lived with her husband, his stepfather. This seemed like his only way out. He had a key to their home in Dundas, where he had grown up. 

He went to their home in the middle of the night and went inside. He entered their bedroom and poured a flammable liquid. He set fire to it and then blocked the bedroom door so they couldn't get out. His stepfather managed to escape through a window and, before dying of severe burns, told neighbors that his stepson had set the fire. Firefighters got his mother out but couldn't save her life.

His alibi was that he had fallen, before the fire, and injured his leg. Indeed he did limp and use crutches when dealing with investigators, but he was under surveillance and was observed walking just fine when he didn't know anyone was watching. There was also footage on a security camera of him walking fine just before the fire.

Richard Taylor attended nearby Medaille College in Buffalo. Does everyone at Medaille know that one of your alumni has been convicted of this horrific murder?

This happened in 2018. Just by chance the satellite that took the imagery of the area for Google Earth passed over after the fire happened but before the house was demolished. This house, where Richard Taylor grew up, was in Dundas. According to news reports he lived in Oakville and taught at a school in Hamilton.

This image, from an angle, shows the house with part of the roof burned away. Image from Google Earth.


In this image, looking straight down, it is visible right where the murders happened. Image from Google Earth.


This house is not visible on Google Street View because it had been demolished, and another house built on the site, by the time the latest Google Street View imagery was taken.

Thursday, November 10, 2022

The Mistakes Of Niagara Falls, NY

According to the Wikipedia article on Niagara Falls, NY, the population of the Canadian side of Niagara Falls has multiplied by about 3 since 1960 while the population of the American side of Niagara Falls has declined by more than half. Niagara Falls is consistently rated worse than nearby areas in terms of negatives like crime and poverty.

What happened to this city with the world-famous name that should be a wonder of the world? I see it as a series of mistakes associated with what we could call the "Paradox of Plenty" or the "Resource Curse". Niagara Falls is where power can be generated by falling water, simply because the upper river above the falls is much higher in elevation than the lower river.

THE SCHOELLKOPF GENERATING PLANT

A hydraulic canal was dug across downtown Niagara Falls. All kinds of mills and industries along the gorge of the lower river used the kinetic energy of the falling water to turn wheels and turbines. But the company that operated the canal eventually went bankrupt and the canal was sold at auction.

This shows the route of the former Hydraulic Canal across downtown Niagara Falls. Image from Google Earth.

It was bought by a Buffalo industrialist named Jacob Schoellkopf. A generating plant was built down in the gorge, similar to one on the Canadian side. It used the kinetic energy of water falling from the hydraulic canal to turn turbines which generated electricity. It was electricity from this plant that really got major industry going in Niagara Falls.

But the many wheel pits that had been excavated into the wall of the gorge before the generating plant had been constructed had weakened the side of the gorge. One day the inevitable happened and most of the Schoellkopf Generating Plant collapsed into the lower river.

While this plant would be replaced by the Robert Moses Plant, which would be in operation within five years, this collapse in 1956 is part of what started the city on it's downward spiral. Shouldn't it have been known that the gorge wall was greatly weakened, and that this was going to happen, before the plant was built?

THE LOVE CANAL

The first federally-declared disaster in the United States that was man-made, not a natural disaster, was at Niagara Falls. It is known as the Love Canal. If only it lived up to it's name.

Niagara Falls attracted people with all kinds of ideas. Late in the Nineteenth Century there was one William Love. He started to dig a canal northward from the Upper Niagara River. This was not near the falls. He wanted to use the water to generate power as it fell over the Niagara Escarpment. A community called Model City was founded at that point below the escarpment. The water would then be used to irrigate a vast tract of farmland.

But the operation ran out of money before the digging of the canal had progressed very far. What had been dug of the canal was abandoned.

The chemical industries in Niagara Falls that relied on the electricity produced a lot of waste. In 1927 the village of LaSalle, where the abandoned canal was located, merged with the city of Niagara Falls. The idea arose to use the abandoned canal to bury chemical wastes in.

A clay barrier was placed above the area of buried chemicals. The city was instructed that, while it was safe to put a park or parking lot above the buried chemicals in no way should any building be done there that involved digging into the ground.

The chemicals had been buried in the 1940s. By the mid-1950s the Baby Boom was underway and a lot of people had been attracted to Niagara Falls to work in it's industries, as well as it's tourist attractions now that a lot of people had cars.

There was always demand for more housing and there would be a lot of money to be made if houses could be built on that area where chemicals had been buried. It was made clear that absolutely no building should be done that involved digging into the ground. But in Niagara Falls if you know the right people, and have the right connections, you can do pretty much whatever you want. One of the nicest neighborhoods in the city was built over the buried chemicals. During construction the clay protective barrier was breached many times.

The result was disastrous. The area had a very high rate of health issues and birth defects. Just do a search for "Love Canal birth defects". It's horrible, I don't even want to write about it here. It isn't over yet because children born to people who grew up in the area also have an elevated rate of birth defects.

Source- Screenshot of Google Search for "Love Canal birth defects" Nov 10 2022.

In early 1977 there was very heavy snow in the fabled "Blizzard of '77". When the snow melted it caused the chemicals to emerge from the ground much faster than before. A highway had been built between the contaminated area and the river to the south, which hindered the water runoff.

In 1978 the Federal Government declared the Love Canal as a disaster area, meaning that it was eligible for federal funds. Residents of the area were evacuated. All of the houses, two elementary schools, and a housing project would have to be demolished.

This disaster was by far the worst thing to ever happen to Niagara Falls, NY and it has never recovered from it. A lot of blame has been put on the company that produced the waste but it was made very clear how dangerous it was and it is the city that should never have allowed this to happen.

THE POWER LINES

The era of large industries inevitably declined. Those industries have mostly been replaced by modern industrial parks of many smaller industries, but with jobs usually requiring a higher skill level. An example is the Audobon Industrial Park in nearby Amherst.

It would seem that Niagara Falls is an ideal place for such an industrial park, to build on it's industrial heritage, except that it has nowhere to put it.

After the collapse of the Schoellkopf Plant, in 1956, a new generating plant was built to the north of Niagara Falls, the Robert Moses Generating Plant. But this meant that the electrical transmission lines had to go across the city of Niagara Falls. Combined with the lines that were already there, this takes up a tremendous amount of space.

There is nowhere within city limits to put the modern industrial park that would be such a great benefit for Niagara Falls, NY. A major hole in the city is the area that was abandoned in the Love Canal. Then there are the areas with low-level contamination from being taken up by the old "smokestack" industries, finally there are the vast areas of space taken up by the power lines that have to cross the city from the Robert Moses Generating Plant, to the north, and also the underground tunnel that brings water from the upper river to the power plant.

This leaves Niagara Falls with nowhere to put a modern industrial park that would provide so much in jobs and tax revenue to the city. Much of the electrical transmission infrastructure went into what was the gap between Niagara Falls and the former village of LaSalle. If these electrical transmission towers provided jobs and paid taxes that would be wonderful, but they don't.




Images from Google Earth

THE LANDFILL IN THE MIDDLE OF THE CITY

To further take up what might have been valuable revenue-generating commercial space, where a modern industrial park might have been located, Niagara Falls, NY has somehow ended up with a landfill virtually in the middle of the city. Maybe this could be a tourist attraction because I have never heard of a city with a landfill right in the city.

Image from Google Earth

URBAN RENEWAL DOWNTOWN

Finally there is probably the most discussed issue of all, that of Urban Renewal in Niagara Falls. The following two images are from the Wikipedia article on "Urban Renewal". This does not necessarily mean that I completely agree with the harshness of the assessment. How many cities have undergone an urban renewal program that is considered as a complete success?


There is more to the direction that Niagara Falls, NY has taken in recent decades. I see the building of the Interstate 190 across the city as a major factor in changing the economic dynamics of the city, cutting off the downtown. Not only does the I-190 cutting across the city change it's economic dynamics but, as with the electrical transmission lines, it takes up a lot of the city's space. The highway cuts across Buffalo too but that route is mostly over the former course of the Erie Canal.

We saw the effects of building the I-190 across Niagara Falls in Part Two of the posting on the world and economics blog, www.markmeekeconomics.blogspot.com "The Controversy Surrounding Urban Renewal". Part One was about the Kensington Expressway in Buffalo.

On the same blog there is also "The Big Project Syndrome", about how construction of the vast power generation plant has adversely affected the psychology of the city.

The Nature Of Fairness

Fairness is very important to us. It is the basic principle behind all codes of law, and how we ideally interact with each other. But I cannot see that it has been broken down into exactly what it is. I have broken fairness down into four principles.

1) THE LEAST PRINCIPLE

An ideal example of the Least Principle is the express line in supermarket checkouts. In most supermarkets a shopper who is buying a certain number of items or fewer, typically ten, have their own line or lines at supermarket checkouts.

The reason is fairness. If a shopper is buying only a few groceries then it will not take long for them to be rung up at the checkout. It is unfair for someone buying only a few groceries to have to wait for others to be rung up who are buying a lot of groceries. 

That is why most supermarkets have at least one express line. It facilitates the least waiting relative to the number of items a shopper is buying.

If two students have to stay after school, so that the teacher can go over something different with each of them, the one that will require the least time should go first. This will facilitate the least waiting, relative to the amount of time required. That is why it is called the Least Principle.

2) THE GREATER GOOD

This counterbalances the Least Principle. Fairness is not written in stone, it is a matter of perspective. Human nature must be taken into consideration.

If we strictly followed the Least Principle it would mean that if there was two people, one with no money and one with a lot of money, it would be only fair for the one with a lot of money to share it with the one with no money.

But if everyone had to share whatever wealth they had then what would be the point of working? People require incentive to work and that incentive is the money that they earn. Why should anyone work hard if they will only have to share their earnings? This means that some people will inevitably have more wealth than others.

In the long term, the principal of the Greater Good will mean more wealth, on the average, for all, because it provides incentive, while the Least Principle is more short-term where incentive is not a factor.

As a counterbalance to the Least Principle, which is the fundamental principle of fairness, we could call this the "Most Principle".

3) BALANCING OUT

This is a long-term modifier of the short-term Least Principle. If there are two shoppers in the supermarket, both buying the same number of items, is it fair that one has to wait longer in the checkout line because the line that they are in is moving more slowly than the one the other is in? 

Of course it isn't. The fair thing to do would be for the supermarket to have just one line, and then the next person in line go to the next available cashier. This is what some markets do have, the trouble is that it takes up floor space and will thus add to the cost of groceries.

But standing in line is a repetitive thing. We stand in lines all our lives. The Balancing Out principle is that, just by chance, sometimes we will err and choose the line that takes the longest but it will balance out, over time, because sometimes we will make the right choice of the fastest line.

4) THE PARADISE PRINCIPLE

Sometimes fairness is just beyond our ability to implement.

Two children are crossing a street. A car is trying to evade the police and comes around the corner at high speed. One of the children is killed but the other is uninjured. It that fair to the family of the child that was killed? Of course it isn't.

Two families send their sons off to war, one is killed but the other isn't. Is that fair to the family of the one that was killed? Of course it isn't.

There are two siblings, one gets a hereditary disease but the other doesn't. Is that fair to the one that got the disease? Of course it isn't.

It looked as if it might rain. Two people are walking, one brought an umbrella but the other didn't. The one with the umbrella doesn't get wet but the other does. Is this fair to the person that got wet? Actually it is fair because the other person had the common sense to bring an umbrella but the one that got wet didn't.

We cannot completely implement freedom, making it so that everything is always fair. In fact, that could be the definition of a paradise. Where everything is always fair. It would be a higher-level paradise if everything was always perfect, but it would be at least a first-level paradise if everything was always fair.

That is why I call this the "Paradise Principle".

Some General Observations

THE BENEFIT OF INDIVIDUALISM

Have you ever noticed something about the people who are always in the news for making the modern economy? I mean Jeff Bezos, Larry Page, Sergey Brin, Bill Gates, Steve Jobs, Steve Wozniak, Elon Musk and so on. Generally college students who come up with a brilliant idea, drop out of college, and end up with their name in the news all the time and more money than they could ever count.

I notice a couple of things that they seem to have in common that I have never seen documented.

1) They have never served in the military.

2) They have not had much involvement in team sports.

Coming up with new ideas requires individualism. If one thinks like everybody else then they won't notice the things that everybody else didn't notice. There is a lot of emphasis nowadays on being a "team player" but being part of a team, as positive as it might sound, inevitably reduces the individualism that is necessary to come up with breakthrough new ideas.

As for dropping out of college the one disadvantage of a formal education is that it inevitably means learning to think like everyone else. Many people who come up with breakthrough new ideas or discoveries have been largely self-educated.

Countries with a Protestant cultural background, northern Europe and the U.S., have created the modern world because the individualism and think-for-yourself mentality of Protestants is ideal for coming up with new ideas and discoveries. It is no coincidence that the Reformation was followed by the Industrial Revolution. 

Modern democracy, where anyone can run for office and anyone can vote for whoever they want, is 100% a Protestant development. The traditionally Protestant dim view of the world opens the mind to seek better ways of doing things. If someone has too much respect for things as they are they will be less likely to notice better ways of doing things.

History is so often made by radicals who turn out to be right. The way to make history is usually not to follow the crowd but to sense when NOT to follow the crowd. This is the power of Individualism.

THE POWER OF NICKNAMES

There are so many people in the news for mass shootings and serial killings, and things like that. It goes over their life stories, the interactions others had with them, and how they came to commit this terrible crime.

There is something I notice that they have in common, and which contrasts them with the general population. Very rarely do people who commit horrific pre-planned crimes have nicknames.

This doesn't include descriptive nicknames assigned by the media, such as "The Suburban Strangler", or something like that. I mean usually playful nicknames assigned by peers.

We might thus presume that, as a general rule, people who get nicknames are more likable than those that don't. It might also be self-fullfilling, people unconsciously like people who have nicknames because they perceive them to be more likable.

Has anyone ever thought of making up a nickname for yourself when applying for a job or other position? Don't make it complimentary, make it kind of silly. You generally have to be likable to get a silly nickname. Or it might reference something like the color or style of your hair. But people have to think of someone as significant to assign them a nickname.

DICTATORS AND SMALL TOWNS

In reading about the great dictators since the beginning of the Twentieth Century there is one thing that I notice they virtually all have in common. They all come from relatively small towns. They might move to a city at around college age but spend their formative years in a small town.

I have written about this here before and know that it applies to European dictators. From what I can see it usually applies across the world.

DEFINING OUR ERA

If I could define our era in one sentence it would be, "We have reached the point where we can change the world faster than we can adapt to the changes that we have made in the world".

Thursday, November 3, 2022

Lahore And The Mughals

The new Prime Minister of Britain is a Hindu. But his Asian roots are actually in what is now Pakistan, in Gujranwala which is just north of Lahore. His grandfather left for Kenya, in east Africa, before the Partition. His parents moved to Britain in the 1960s, where he was born in Southampton.

Let's have another look at the fabled city of Lahore.

The city of Lahore is located in Pakistan's Punjab province. It is the largest city in Pakistan, after Karachi, and is near the border with India, and not far from the Indian city of Amritsar. Lahore has been the capital of a number of empires, including the Sikh Empire. The center of the Sikh religion is now the Golden Temple in Amritsar. Lahore has traditionally been considered as a wealthy city, and has been a center of education since medieval times.

I have listened to so many stories about Lahore, it is about time to pay a visit to it.

The Mughals, which we saw in the recent visit to Delhi, are very prominent in the history of Lahore. It was the Mughal capital at the time of the emperor, Akbar, and has even more Mughal-era structures than Delhi. Akbar was Humayun's son, whose tomb is prominent in Delhi. Babur was the founder of the Mughals, and was Humayun's father.

Mugalpura is a section of Lahore that is named for the Mughals, where the roads are named for Mughal emperors. The Mughal language was Persian, but the ruling classes spoke a dialect that became known as Urdu, and is today Pakistan's national language.

The Mughals had a vast empire across what is now India, Pakistan, Afghanistan and, Bangladesh. The Persian conqueror Nadir Shah briefly ruled Lahore while on his way to raid the Mughal capital of Delhi. Muhammad Shah was the Mughal emperor at that time. "Shah" means "king".

Just as there is the Old City of Delhi (Shahjahanabad), from the Mughal era, so is there the Old City of Lahore. Just as in Delhi, the walls around the Old City are gone, but some of the gates remain. Here are a couple of examples of gates that remain in the Old City of Lahore:

https://en.wikipedia.org/wiki/Walled_City_of_Lahore#/media/File:Hazuri_Bagh.JPG

https://en.wikipedia.org/wiki/Walled_City_of_Lahore#/media/File:Kashmiri_Gate_03.jpg

This is Sunehri Masjid, located in the Mughal-era Old City of Lahore:

https://en.wikipedia.org/wiki/Sunehri_Masjid,_Lahore#/media/File:Sunehri_masjid_top_view_2.JPG

The Old City is also known for the elaborately-decorated townhouse-style mansions from the Mughal and Sikh eras. Here is one such example:

https://en.wikipedia.org/wiki/Haveli#/media/File:Nau_Nihal_Singh%27s_haveli,_now_Victoria_Girls_High_School,_Lahore.jpg

Lahore is widely-known for it's food. Everyone from Lahore seems to be a good cook. How many cities have streets devoted just to food? This is Fort Road Food Street.

https://en.wikipedia.org/wiki/Fort_Road_Food_Street#/media/File:Food_Street_Lahore.jpg

https://en.wikipedia.org/wiki/Lahori_cuisine#/media/File:Lahore_Tikka_House_(2)_-_Plain_Rice_and_Lahori_Lamb_Kabab,_Take_Two.jpg

In the Old City of Lahore is the Wazir Khan Mosque, also from the Mughal era. Khan is a very common Pakistani surname. We saw in the posting on this blog, "Why We Should Understand The Mongols", how the Mughals, also spelled Moguls, were descended from the Mongols through the Timurids. Babur, who began the Mughals, claimed to be descended both from Genghis Khan and Timur (or Tamerlane). Could Genghis Khan have imagined that someday there would be a mayor of distant London with his name?

Here is a look around the southeastern part of the Old City of Lahore, beginning in the Masjid Wazir Khan.

There are multiple scenes following. To see the scenes, after the first one, you must first click the up arrow, ^, before you can move on to the next scene by clicking the right or forward arrow, >. After clicking the up arrow you can then hide the previews of successive scenes, if you wish.

https://www.google.com/maps/@31.5831683,74.3234744,2a,75y,196.05h,90t/data=!3m7!1e1!3m5!1sTr8VzNbpxDIAAAQfr8pCoQ!2e0!6s%2F%2Fgeo2.ggpht.com%2Fcbk%3Fpanoid%3DTr8VzNbpxDIAAAQfr8pCoQ%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D193.76878%26pitch%3D0%26thumbfov%3D100!7i13312!8i6656

Iqbal Park is in the northern part of the Old City of Lahore. The Minar-e-Pakistan, or Tower of Pakistan, is a monument commemorating the Lahore Resolution, that Moslems in India should have their separate homeland, which became Pakistan. The resolution was, of course, named for the heavily-Moslem city of Lahore.

https://en.wikipedia.org/wiki/Iqbal_Park#/media/File:Minar_-e_Pakistan_at_Night.jpeg

Iqbal Park is so named because of the tomb of Muhammad Iqbal. This was a poet and philosopher who is regarded as being the first to promote the idea of an independent Pakistan.

https://en.wikipedia.org/wiki/Iqbal_Park#/media/File:Allama_Iqbals_Tomb_East_wall_close-up_July_1_2005.jpg

The focal point of the Old City of Lahore is the three adjacent structures of Lahore Fort, Badshahi Mosque, both from the Mughal era, and the Samadhi of Ranjit Singh, from the Sikh era in Lahore. The positioning of the three is very similar to the adjacent positioning of a fort, a mosque and, a tomb, in Delhi and in Agra.

Lahore Fort, built of red sandstone just like the Red Fort in Delhi and Agra Fort in Agra, is on Fort Road in the Old City. It is on the site of previous forts, was begun by the Mughal emperor Akbar, and added to by emperor Shah Jahan. There is a summer palace in the fort and Moti Masjid is the interior mosque that was added by Shah Jahan.

The image of Lahore Fort that most people have is the front gate, the Alamgiri Gate:

https://en.wikipedia.org/wiki/Lahore_Fort#/media/File:Lahore_Fort_view_from_Baradari.jpg

This is the Badshahi Mosque which was built in 1673 by Aurangzeb, from the interior of it's red sandstone courtyard, reminiscent of the Jama Masjid in Delhi which was built by Aurengzeb's father, Shah Jahan.

https://en.wikipedia.org/wiki/Badshahi_Mosque#/media/File:Badshahi_Mosque_33_(edited).jpg

There is a garden between the main entrances to the Lahore Fort and the adjacent Badshahi Mosque, which face each other. The garden is constructed in the typical Mughal quadrangle style, and is known as the Hazuri Bagh. In the center of the quadrangle is a pavilion, known as a Baradari, that was put there in the Sikh era of Lahore. At the south end of this garden is the Roshnai Gate, that we saw above.

The first of the following scenes show that building in the middle of the garden, with the Badshahi Mosque in the background. Behind where the image was taken is the Alamgiri Gate of the Lahore Fort. The large Sikh building, the Samadhi of Ranjit Singh, can be seen to be in a line perpendicular to the axis between the Badshahi Mosque and the Red Fort.

https://www.google.com/maps/@31.5883026,74.3123325,3a,75y,269h,85t/data=!3m7!1e1!3m5!1sKaq5UEtu0Hmzvevi9lB05Q!2e0!6s%2F%2Fgeo0.ggpht.com%2Fcbk%3Fpanoid%3DKaq5UEtu0Hmzvevi9lB05Q%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D269.58453%26pitch%3D-5.5640655!7i13312!8i6656

Lahore was ruled by the Sikh Empire for the first half of the Nineteenth Century. The Sikh Empire actually began with the capture of Lahore. During the Sikh era, mosques in Lahore were re-purposed into Gurdwaras. The Samadhi of Ranjit Singh is considered as the foremost example of Sikh architecture in Lahore. Ranjit Singh was the founder of the Sikh Empire and the building is his Nineteenth-Century mausoleum. Here is a close view of the Samadhi of Ranjit Singh.

https://en.wikipedia.org/wiki/Samadhi_of_Ranjit_Singh#/media/File:SORS1.jpg

Here are scenes in and around the many universities that Lahore is known for.

https://www.google.com/maps/@31.5707923,74.3147623,3a,75y,61.48h,86.03t,-0.19r/data=!3m7!1e1!3m5!1sGO_WOBQtBuuLxHBmn7VpAw!2e0!6s%2F%2Fgeo1.ggpht.com%2Fcbk%3Fpanoid%3DGO_WOBQtBuuLxHBmn7VpAw%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D153.38243%26pitch%3D0!7i13312!8i6656

The universities of Lahore are concentrated in the district of Anarkali, the name of which we will get to later.

https://www.google.com/maps/@31.569542,74.3090767,3a,75y,11h,86.81t,1.88r/data=!3m7!1e1!3m5!1sFXS-pQCWedBEfwEEu73tJA!2e0!6s%2F%2Fgeo1.ggpht.com%2Fcbk%3Fpanoid%3DFXS-pQCWedBEfwEEu73tJA%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D269.70007%26pitch%3D0!7i13312!8i6656

Lahore is sometimes known as the "City of Gardens", and for good reason. It is the home of possibly the best example of a Mughal garden anywhere, the Shalimar Gardens. This garden has over 400 fountains and is built in the Mughal quadrangle form, known as Charbagh. Mughal gardens are intended to convey an idea of what Heaven will be like. Shalimar Gardens were built by the Mughals in the Seventeenth Century:

https://www.google.com/maps/@31.5870918,74.3826212,3a,75y,345.73h,87.42t,-3.98r/data=!3m7!1e1!3m5!1s6egHwkIQwbD2M3kM2YCwHQ!2e0!6s%2F%2Fgeo3.ggpht.com%2Fcbk%3Fpanoid%3D6egHwkIQwbD2M3kM2YCwHQ%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D76.178421%26pitch%3D0!7i13312!8i6656

The tomb of the Mughal emperor Jahangir, who died in 1627, can be considered as Lahore's version of the Taj Mahal or Humayun's Tomb. His wife, Nur (or Noor) Jahan, was the best-known woman in Mughal history. The tombs of both are in Shahdara, to the northwest of Lahore. Jahangir was the son of Akbar, who began Lahore Fort.

A city cannot become as fabled as Lahore without some romance and intrigue. Movies have been made and stories written about the women around Jahangir. Those stories tend to fall into two categories. The first is that Jahangir was fond of drinking alcohol and that his wife, the strong-willed Noor Jahan, was the real power behind the throne during his reign. The second category is that Jahangir carried on an illicit relationship with a woman named Anarkali.

By the way Mumtaz Mahal, for whom the Taj Mahal was built as a tomb by Shah Jahan, was a niece of Noor Jahan.

Here is the tomb of Jahangir, starting from the inside, with Noor Jahan's tomb outside:

https://www.google.com/maps/@31.622511,74.3032314,3a,75y,213.48h,90t/data=!3m8!1e1!3m6!1sTpZ6rffDIbUAAAQumcKgYQ!2e0!3e11!6s%2F%2Fgeo1.ggpht.com%2Fcbk%3Fpanoid%3DTpZ6rffDIbUAAAQumcKgYQ%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D63.641178%26pitch%3D0!7i13312!8i6656

But at the end of the gardens around Jahangir's tomb is a smaller garden surrounding another tomb. Some believe that this is the tomb of Anarkali. Some are certain that she never existed, and that the story is the invention of later writers. Others believe that she was real, but was common-born and such a relationship would never have happened. But Anarkali does have a section of the city named for her, where the universities are concentrated. Anyway, this might be Anarkali's Tomb:

https://en.wikipedia.org/wiki/Anarkali#/media/File:Tomb_of_Anar_Kali_Lahore.jpg

Thursday, October 27, 2022

Our Solar System

I periodically collect postings about similar subject matter into compound postings. I am planning some more upcoming consolidations.

This compound posting is about insights and observations of the Solar System that I have never seen before. There are some links throughout to other compound postings. This posting is not the same thing as another posting, "The Configuration Of The Solar System Made Really Simple", which is about the origin of the Solar System, although it does have references and links to it.

TABLE OF CONTENTS

1) THE AVERAGE DISTANCE OF A PLANET FROM THE SUN

2) THE GAPS IN SATURN'S RINGS

3) THE SOLSTICE GAP

4) THE WONDERFUL WORLD OF LAGRANGIAN POINTS

5) WHY THERE ARE METEOR SHOWERS

6) THE WANNABE STAR OF THE SOLAR SYSTEM

7) LIGHT FROM PLANETS AND STARS

8) CONCLUDING THE SEARCH FOR THE NINTH PLANET


OUR SOLAR SYSTEM

1) THE AVERAGE DISTANCE OF A PLANET FROM THE SUN

Here is something relatively simple that I cannot see has ever been pointed out.

We know that planets revolve around the sun in ellipses, rather than circles. While a circle has one focal point, it's center, an ellipse has two, with the sun at one of the focal points. This means that the distance between the planet and the sun varies. The point in the orbit at which the planet is closest to the sun is called perihelion, and the furthest point is aphelion.

The planet moves in it's orbit fastest when it is closer to the sun, and more slowly when it is further away. One of Kepler's Laws of Planetary Motion describes it mathematically as "A line between the planet and the sun will sweep over equal areas of space in equal periods of time".

In school we learn the distances of the planets from the sun. At perihelion the earth is 91 million miles from the sun and at aphelion 95 million miles. So the distance that we learn of the earth from the sun is the average distance of 93 million miles.

Except that this is not really correct.

Sorry but when I was 15 years old neighboring Canada converted to the Metric System, and at that point I learned the Metric System as well. But the things I learned before that, including the distances of the planets from the sun, I remember in miles. You do not need a conversion of units to understand this.

It is true that the average distance of the earth's orbit from the sun is 93 million miles. But that cannot really be considered as a satisfactory answer. The earth moves fastest through it's orbit when it is closest to the sun and slowest when it is furthest from the sun. This means that the earth spends more time further from the sun and less time closer.

We can say that the average distance of the earth's orbit from the sun is 93 million miles but that is not true if we measured the distance from the earth to the sun at regular intervals over the course of the year and took an average, simply because the earth spends more time further than the average than closer.

If we measured the distance from the earth to the sun every day over the course of the year, and took an average, we would get a figure higher than the 93 million miles. This is because, while the earth rotates at a constant rate it doesn't revolve around the sun at a constant rate. It spends more time further from the sun because it is moving through it's orbit more slowly than when it is closer to the sun.

Suppose that we wanted to measure the average depth of an area of water. If we simply measured the greatest depth and the shallowest depth, and averaged the two, it would in no way give a satisfactory answer. But that is what we do when we say that the average distance from the sun is 93 million miles. To get a satisfactory answer it would be necessary to take depth measurements at regular intervals and then average them together. A greater number of measurements would give greater accuracy.

My reasoning is that, to find the true day-by-day average distance between the earth and the sun we have to use squares. This shouldn't come as a surprise because it is the Inverse Square Law that describes space so well.

We take the distance at perihelion and the distance at aphelion and square both of them. Then we average them and our answer is the square root of the average.

That gives us an answer of just over 94 million miles as the average distance between the earth and the sun if distance measurements are taken at regular intervals throughout the year, such as every day.

This is yet another reason why I am such an admirer of the Inverse Square Law, and of how useful it is. This posting has been added to the compound posting, "A Celebration Of The Inverse Square Law". If you are interested in science and have time to read here is a link to it:

www.markmeeksideas.blogspot.com/2015/08/a-celebration-of-inverse-square-law.html?m=0

2) THE GAPS IN SATURN'S RINGS

There was a lot of recent attention to the conjunction of Jupiter and Saturn in the sky. The two planets were not really close together, it was just a line-of-sight effect as seen from earth. Saturn is about as far from Jupiter as Jupiter is from earth.

Saturn is the planet that is known for it's spectacular ring system. All of the outer planets actually have rings around them, but those of Jupiter, Uranus and, Neptune are faint. Saturn's rings are not visible from earth with the unaided eye, but are easily visible in a small telescope.

The current Wikipedia article on "Saturn's Rings" give the reason for the gaps in Saturn's rings, other than "gravitational resonance" with Saturn's moon's, as "unexplained".

https://en.wikipedia.org/wiki/Rings_of_Saturn#/media/File:Saturn_and_its_3_moons.jpg

The gaps in Saturn's rings are actually simple to explain if we use the concept of "The Effective Center Of Gravity", June 2009, on the Physics And Astronomy blog.

Without thinking further we might presume that the "center of mass" and the "center of gravity" of a planet are the same. But they aren't.

The "center of mass" of a planet is constant. It is the point from where the planet's concentration of mass is equal in all directions. We should expect that the center of mass of the planet will be just about exactly the same as it's geometric center.

But the "center of gravity" of the planet is relative, and not constant. According to the Inverse Square Law, the force of gravity is inversely proportional to the square of the distance. In other words, an object at three times the distance will exert 1 / 9 of the gravitational force.

The reason that the center of gravity is relative is that, if we are at a finite distance from a planet, the close half of the planet will have a greater gravitational effect on us than the far half of the planet. This means that the center of gravity would be closer to us than the center of mass. It is only if the planet were infinitesimal in scale, or if we were an infinite distance from the planet, that the center of gravity would be the same as the center of mass.

If we were in a spacecraft, orbiting a planet at a finite distance from the planet, the planet's center of mass would remain constant but the center of gravity would be continuously changing. The center of gravity of the planet would follow our orbit, within the planet, and always closer to us than the center of mass.

It is very unlikely that a planet will be of uniform density throughout. Almost certainly the innermost parts of the planet will be the most dense. The earth, for example, consists of a heavy iron core, above which is the mantle which consists of dense rock but not as dense as the core. Above the mantle is the less-dense crust.

The closer the spacecraft, or observation point, is to the planet, the closer the effective center of gravity is to the surface of the planet, meaning the furthest from the center of the planet. This is simply because the closer we are to the planet the greater the gravitational effect of the close half of the planet, relative to the far half.

Now, back to Saturn's rings. The rings are made mostly of particles of ice. The particles of ice closest to the planet have their real center of gravity in the least-dense outermost part of the planet. But those particles of ice in orbit at a somewhat higher altitude have their real center of gravity in the denser layer beneath that.

The effect of this is as if the particle at the higher altitude is in orbit around a more dense planet. An orbit around a more dense planet would mean that an object in orbit, at the same altitude around the heavier planet, would have a higher orbital energy. 

In orbit around the same planet, a higher altitude means a higher orbital energy. The orbital energy is governed by the same Inverse Square Law that governs gravity. If there is an object in orbit, and we give it 3x the orbital energy, it would then orbit at 9x the altitude, but would move at only 1 / 3 the speed.

So if one of the particles of ice composing Saturn's rings is in orbit, with it's effective center of gravity in a less-dense outer part of the planet, and a particle in a little bit higher orbit has it's effective center of gravity lower than that, in a more-dense inner part of the planet, the higher particle will have to have more orbital energy, than that which would be proportional to altitude, if the planet were of uniform density.

Since orbital energy is proportional to altitude, with a higher orbit having a higher orbital energy, this means that the particle in higher orbit, with it's real center of gravity in the lower and denser part of the planet, will have to gain more altitude to reflect it's higher orbital energy because it is, in effect, in orbit around a more-dense planet.

This is why there are gaps in Saturn's rings. The gaps are a reflection of the layers of material composing the planet, with the denser layers deeper inside the planet making necessary a higher orbital energy for the particles of ice with their effective centers of gravity within those denser layers. Since a higher orbital energy means a higher orbital altitude, this creates the gaps in the rings that reflect the layers of different density within the planet.

3) THE SOLSTICE GAP

Here is something that I have never seen explained.

The solstice is when either the northern or southern hemisphere is tilted at it's maximum angle away from the sun, while the opposite hemisphere is tilted at the maximum hemisphere toward the sun. But the two hemispheres are not equal. The vast majority of the world's land is in the northern hemisphere, and this means that the northern hemisphere must be heavier than the southern hemisphere.

Like the other planets, the earth's orbit is elliptical. That means that it is closest to the sun on one side of it's orbit, and furthest from the sun on the opposite side. In seeking the maximum mechanical balance, this means that the heavier northern hemisphere should point away from the sun, which would give it winter, when the earth is at it's closest to the sun.

This is indeed what happens and the earth is at it's closest to the sun during the northern hemisphere winter.

But here is what I have never seen explained. The solstice and the point of closest or furthest distance from the sun do not match up exactly, as it would seem that they should. There is a gap of about two weeks. The northern hemisphere winter solstice is around December 21, but the point of closest approach to the sun is on January 4. Why would this be?

My explanation is that the rotation of the earth is constant throughout the year, a day is always 24 hours. But the earth moves faster through it's orbit when it is closer to the sun. That means that, while it is always half a year between the solstices, there are fewer days during the half of the earth's orbit when it is closer to the sun than in the half of the orbit when it is furthest from the sun.

Why does this show up as the two week gap? Let's stop and think. We know that the distance at which the earth is closest to the sun is about 4% less than the distance at which it is furthest from the sun. What do you notice about two weeks? There are 52 weeks in a year and the two weeks are about 4% of a year.

I have never seen this explained before.

Let's refer to this approximately two week difference between the solstices and the corresponding apogee or perigee as "The Solstice Gap.

4) THE WONDERFUL WORLD OF LAGRANGIAN POINTS

The James Webb Space Telescope is named for the administrator of NASA during the Apollo Missions that landed astronauts on the moon. This telescope is the successor to the Hubble Space Telescope, which has been a fantastic success that has far exceeded all expectations.

I consider these space telescopes as the culmination of the Space Age and really more important than actually putting astronauts on the moon. The main long-term benefit of the moon landings was the many technology spin-offs, from super-strong glass to powdered orange juice. The landings didn't teach us that much about the moon that wasn't already known. 

The Cold War was a vital part of the Apollo Missions. The space probes that have been sent to photograph the planets are probably more important with regard to our Solar System but the space telescopes are more important to our learning about the universe overall. 

The great advantage of putting a telescope in space is simply that it is above the earth's atmosphere. The best place to put a telescope on earth is on a mountain in a desert, so that it is above at least some of the earth's atmosphere and water vapor. But nothing is as good as having the telescope above the atmosphere altogether.

Aside from the James Webb Space Telescope being much more powerful than the Hubble Telescope the main difference between the two will be their location in space. The Hubble Telescope is in orbit around earth, at an altitude of about 500 km. 

The James Webb Telescope, in contrast, is positioned much further out in space, about a million miles or 1.6 million km away. The James Webb Telescope is in orbit around the sun, rather than the earth, but is in a very special place, called a Lagrangian Point, that will keep it in the same position relative to the earth.

Being in orbit around the sun, instead of the earth, makes it possible to keep one side of the James Webb Telescope at the required very low temperatures. There will generally be a much better view from where the James Webb Telescope will be located, because the far side will always face away from the sun. 

The great disadvantage of where the James Webb Telescope will be located, as opposed to the Hubble, is that, since it is so much further away, repair missions will not be possible if something goes wrong. In the early days of the Hubble Telescope several such missions were necessary. On the James Webb Telescope everything has got to work right the first time.

There is nothing really complicated about Lagrangian Points. When one astronomical object is in orbit around another, such as the earth around the sun or the moon around the earth, five Lagrangian Points are produced. These points are labeled L1 to L5 and are the points where there is some kind of gravitational balance between the two astronomical objects.

Because the smaller astronomical object will be in orbit around the larger one their Lagrangian Points will be continuously moving. The following link is so that you can see the Lagrangian Points of the earth moving around the sun:

https://en.m.wikipedia.org/wiki/Lagrange_point#/media/File%3ALagrange_points_simple.svg

Only at the first two Lagrangian Points is the gravity of the earth and the sun actually equal. If we move toward the sun we reach a point where the gravity of the two are equally balanced, that is L1. If we move in the opposite direction, away from the sun, we reach another point where the gravity of the two is equally balanced, that is L2.

Gravity operates by the Inverse Square Law, an object at three times the distance will exert only one-ninth of the gravitational force. Gravitational force is proportional to mass. The sun is so much more massive than the earth that the gravity of the two balances at about 1% of the distance to the sun.

What is so interesting about L1 and L2 is that an object in either of these positions will orbit the sun at the same rate as the earth, even though it is closer to or further from the sun than the earth. The James Webb Telescope is positioned at L2.

L3 is the point on the earth's orbit around the sun that is diametrically opposite to where the earth is now located. If we draw an equilateral triangle, with the sun at one of the points and the other two points on the earth's orbit and the present position of the earth in the middle of the side opposite the sun, the two points other than the sun are L4 and L5.

L4 and L5 are both on the earth's orbit around the sun. L4 is 60 degrees ahead of the earth, as it moves around the sun, and L5 is 60 degrees behind it.

Unlike L1 and L2, the gravity of the earth and sun is not equal at L3, L4 and, L5. What is so important about all of the Lagrangian Points is that they are "preferred" positions in space. Objects, whether asteroids or satellites or clouds of dust, "prefer" to be located at Lagrangian Points than elsewhere in space. Objects sometimes orbit around one of the points, even though there is nothing at the point.

Jupiter has large collections of asteroids at it's L4 and L5. These asteroids are known as the Trojans. One group is ahead of Jupiter in it's orbit around the sun, and the other group is behind it. Any Lagrangian Point is designated by the two astronomical bodies and it's number, such as Jupiter-sun L4. We wouldn't just state "Jupiter L4" because Jupiter's moons also create Lagrangian Points in their orbits around the planet. Both astronomical objects that create the Lagrangian Points have to be specified.

Another thing that is so interesting, and useful, about Lagrangian Points is that objects in space can move from one Lagrangian Point to another with much less energy than would usually be required. There is a network, called the Interplanetary Transport Network, along which objects can move with a lot less energy than would usually be required.

Since there are more than two astronomical objects in the universe Lagrangian Points must be more complex than this. At the same time that the earth has Lagrangian Points in it's orbit around the sun, the moon has Lagrangian Points in it's orbit around the earth. We have looked at what we could call "primary" Lagrangian Points, but there must also be "secondary" points which share one of the two astronomical objects. Also, Venus is almost as massive as the earth and there are times when it is closer to the earth's L4 and L5 than the earth is.

These rules of Lagrangian Points only apply when one astronomical object is in orbit around another and one object is many times as massive as the other. The rules may not apply, for example, to a double or multiple star system where the stars were closer to each other in relative mass.

You have probably heard of a "geostationary orbit" but it has nothing to do with Lagrangian Points. The higher a satellite is placed in orbit the more slowly it revolves around the earth. At the same time the earth is rotating. This means that there must be a certain altitude where a satellite will orbit at exactly the same speed at which the earth is rotating. This means it will stay in the same spot in the sky overhead. This makes it very useful for communication satellites and is called a "geostationary orbit". The altitude of a geostationary orbit is 22,300 miles. But a geostationary orbit has nothing to do with Lagrangian Points.

The so-called "Interplanetary Transport Network", there is a Wikipedia article about it, of a route through space that requires much less energy than usual because it makes use of Lagrangian Points. An object will require less energy than usual to move between Lagrangian Points. This reflects on my concept that what exactly a straight line is, defined as the shortest distance between two points, may be open to definition.

Another thing that is interesting is that some believe black holes to act as "doorways" or "tunnels" in space. Black holes have tremendous gravity. If the gravity of ordinary astronomical objects like the sun and planets provide a lower energy route through space by Lagrangian Points, then what might we expect the far more massive black holes to provide?

Somewhere out there is a network of easier routes around the galaxy that we could call the "Black Hole Highway".

5) WHY THERE ARE METEOR SHOWERS

While driving at night I saw a bright shooting star and it got me thinking.

There are regular meteor showers throughout the year. As the earth moves through it's orbit around the sun it passes through clouds of dust. Particles burning up by friction with the atmosphere is what produces the "shooting stars".

The dust was mostly left behind by comets. These comets are composed mostly of ice and collect dust in space as they move along in their orbits around the sun. The orbits of comets around the sun tend to be extremely eccentric, coming from far out in space and spending only a brief time near the sun before going far back out into space for long periods of time. There are comets with orbital periods of thousands of years.

When the comet gets close to the sun the outermost ice gets vaporized by the heat. This is what produces the visible "tail" of the comet, as the vapor reflects sunlight. It also leaves a trail of dust in space in the part of the comet's orbit that was close to the sun. It is this trail of dust that the earth passes through every year to create the predictable shower of "shooting stars".

The comets have orbits around the sun in geometric planes that are not the same at all as the earth's. This is why different meteor showers that occur every year seem to come at us from different directions in the sky. Each meteor shower has it's own direction.

Meteor showers, which occur on the same date every year as the earth passes through the cloud of dust during it's orbit around the sun, are thus named for the constellations in the sky that they seem to radiate from. Some of the meteor showers are the Perseids, Geminids, and, Leonids.

What I want to discuss today is what exactly is happening to the particles of dust and other debris that the earth is passing through in space to cause these meteor showers.

The first thing that is obvious is that the particles of dust cannot be in orbit around the sun. For the particles to enter the earth's atmosphere would mean that the particles are the same distance from the sun as earth. This would then mean that the earth and the particles would never run into each other since everything in the Solar System orbits the sun in the same direction, and objects at the same distance from the sun will orbit at the same rate. In a similar way Jupiter has two groups of asteroids that share it's orbit at Lagrangian Points L4 and L5, known as the Greeks and the Trojans, but which never meet Jupiter.

Neither is it possible that the particles of dust that are shed by the comet when it is near the sun continue with the momentum of the comet in the orbit of the comet. Comets have very eccentric orbits with long orbital periods. A comet comes close to the sun, where it's outer layers are vaporized into the familiar "tail" and it sheds the dust that it has collected in it's journey through space, for only a relatively brief time during it's long orbit. If the particles of dust continued with the momentum in the orbit of the comet they would be there for the earth to pass through them for one, or just maybe two, years. But the earth has been passing through the same cometary clouds of dust that have been producing the same predictable meteor showers that have been recorded for hundreds, or even thousands, of years.

The only possible conclusion is that the clouds of dust that the earth passes through during it's orbit around the sun are stationary in space and do not orbit the sun. I don't see how it could be any other way.

This requires some special explanation. These dust particles are made of matter, which has mass, and gravity acts on mass. So why aren't these clouds of dust that the earth passes through in it's orbit in orbit themselves around the sun? The vast clouds of dust and gas in our galaxy orbit the center of the galaxy along with all of the stars.

The answer, that I had never seen explained anywhere, is that orbits, as well as escape velocities, require compression. We saw this in the compound posting, "Orbital And Escape Velocities And Impacts From Space" Sections 1 and 3, November 2014.

The simplest and lightest atom is hydrogen, with only one proton and one electron in it's nucleus. The original atoms in the universe were about 75% hydrogen and 25% helium, with traces of the next two heavier elements. An atom of helium is formed from four atoms of hydrogen being crunched together and there was enough energy left over from the Big Bang to crunch some of the hydrogen atoms into helium.

As we know lighter atoms, starting with hydrogen, are crunched together in the centers of stars into heavier elements. Electrons in the orbitals of atoms are negatively-charged so that they repel each other, and do not merge if pressed together. But if enough mass comes together by it's mutual gravity to overcome this electron repulsion a star is born as the tremendous gravity crunches lighter atoms together into heavier ones. 

The new heavier atom contains less overall energy than the lighter atoms that were crunched together to form it. The excess energy is released as radiation and this is why stars shine. This ordinary fusion process only goes as far as iron, atoms heavier than iron are only formed during the great release of energy during a supernova.

Now imagine a vast cloud of hydrogen atoms in space. This is the beginning of a star that will, in the center of the star, start crunching hydrogen atoms into helium, and later that into successively heavier atoms. My hypothesis is that such a cloud of hydrogen, the lightest of all atoms, cannot have anything in orbit around it. If an object were at the edge of the cloud, and moving away from it, the "escape velocity" of the cloud would be essentially zero. It is only when the cloud has been compressed, such as by nuclear fusion fusing the hydrogen atoms into heavier ones, that the former cloud of hydrogen can have an escape velocity and objects in orbit around it.

Before proceeding further let's have a look at two examples of how the information in orbits cannot be lost. The orbits of the planets around the sun form ellipses, rather than circles, even though a circle would be the lowest information state. But yet this requires some explanation because the rings of Saturn, which are composed of particles, form a perfect circle. The Asteroid Belt also forms a circle, and not an ellipse. This must mean that the orbits of individual asteroids around the sun are circles because, if they were ellipses but the belt as a whole was circular, asteroids would be colliding and we see no evidence of that.

The reason that the orbits of planets must be ellipses is that the planets formed from agglomerations of debris like the asteroids. Some of the debris, pulled together by it's mutual gravity, had been closer to the sun and some had been further from the sun. The way that the information of the orbits of the former closer and further components of the planets is conserved is for the planet to orbit the sun in an ellipse, with a point when it is closest and a point when it is furthest from the sun.

The second example of how the information in orbits cannot just be lost concerns the extremely eccentric orbits of comets. We know that the sun was preceded by a large star that exploded in a supernova. Some of the debris fell back together by it's mutual gravity to form the sun and planets. My theory is that at least one, but probably three, nova preceded the supernova. As stellar fusion proceeds to successively heavier atoms more energy is released per time and this upsets the equilibrium of the star. A nova is the blasting away of the outer layers of the star, in an effort to regain equilibrium. If that doesn't restore equilibrium then the star explodes from the center in a supernova.

Comets formed from molecules of light atoms that were blasted into space by a nova. These comets were in orbit around the former star before it exploded. After the previous star exploded in the supernova some of the debris fell back together to form the sun and Solar System. But the sun was much less massive than the previous star had been, and therefore had less orbital energy. The information in the orbits of the comets could not, however, just be lost. So what happened is that the orbits of the comets greatly contracted, but with the highest point of the orbit still intact, because the energy of an orbit is defined by the distance from the central body. This is why the comets of the Solar System tend to have very eccentric orbits.

Now let's get back to our cloud of hydrogen in space, that is the beginning of a star. As fusion takes place in the center, by the inward force of gravity overcoming the electron repulsion between atoms, the now-star shrinks in size. This is because the new heavier atoms are smaller, more compact, than the larger atoms that were crunched together to form them. Not only that but the successively-heavier atoms actually get more compact as we move to the right across a row of the Periodic Table, at least until we reach the next row when another electron shell is added.

The ordinary fusion process goes as far as iron. To illustrate how much compression takes place during fusion a hydrogen atom, in terms of diameter, is almost as large as an iron atom, but the iron atom is 56 times as massive.

So what happens as our original cloud of hydrogen becomes a star and it's atoms are fused into successively-heavier and much more compact elements is that the information of the original edge of the hydrogen cloud must be maintained. As in the examples above it cannot just be lost.

The way that the information of the original edge of the hydrogen cloud is retained is by orbits. An object can now orbit the star, and it has an escape velocity, whereas that was not the case when it was a cloud of hydrogen. This is what I mean when I state that orbits as well as escape velocities require compression.

But if a cloud of hydrogen in space is compressed into a star an object can orbit the star far beyond the original boundary of the hydrogen cloud. This is because the atoms of the object have undergone compression too. Not directly but all heavy atoms outside of stars were once part of a star that exploded, including every atom in your body. The compression factor of the object in orbit is multiplied by that of the star.

So now let's go back to the stationary clouds of dust in space, left by comets, that the earth passes through in it's orbit around the sun. The question is why the particles of dust don't orbit the sun so that the earth passes through them in it's orbit every year.

The dust is not entirely stationary. It is stationary with regard to the sun but the sun itself is in orbit around the center of the galaxy, bringing the Solar System with it. Dust consists of heavier atoms and the atoms in the dust underwent compression, fusion, into these heavier atoms. This compression brought an orbit but it was the same orbit as the star that produced them, the star that preceded the sun before exploding in the supernova. The comets orbit the sun because they were in orbit around the previous star before it exploded.

Unlike this dust the planets and asteroids do orbit the sun, and their atoms were formed in the previous star in the same way as the atoms in the dust. But remember that compression is necessary for orbits and, in terms of information, the orbit is the "ghost" of the collection of matter prior to compression. The planets and asteroids have coalesced from matter and debris in space, and this is why they orbit the sun. The particles of dust haven't undergone any such coalescing, they are the same as when ejected from the previous star, so they continue in orbit around the center of the galaxy, along with the sun, but do not take on the additional orbit around the sun. 

This shows that orbits, and with it orbital and escape velocities, require compression, whether the compression is lighter atoms being crunched into heavier atoms in a star or dust and debris in space coalescing into a planet or moon.

Again this confirms what we saw in the compound posting, "Orbital And Escape Velocities And Impacts From Space", Sections 1 and 3, November 2014.

6) THE WANNABE STAR OF THE SOLAR SYSTEM

Jupiter is by far the largest planet of our Solar System. It has more than twice the mass of all the other planets combined. In fact, Jupiter is built much like a star. It has plenty of hydrogen, for the initial stage of fusion like the sun is in now, and is of about the same density as the sun.

The reason that Jupiter isn't a star is that, despite it's great mass relative to the planets, it doesn't have enough mass to ignite as a star. A star forms when enough matter comes together in space by it's mutual gravity to overcome the electron repulsion between atoms that keeps atoms from merging into each other.

The like charges of the outer electrons in each atom, both negatively-charged, mutually repel to keep the atoms separate. Smaller atoms, starting with hydrogen, are crunched together into larger atoms in the center of the star. The new heavier atoms have less overall energy than the smaller atoms that were crunched together to form them. The excess energy is released as radiation and that is why stars shine.

But why would such a massive planet form, that was built very much like a star, but with not enough mass to be a star? That brings us to some interesting questions.

Let's start with how our Solar System formed. We know that a very large star exploded in a supernova, which happens to only the largest stars. Some of the matter that was scattered across space by the explosion fell back together by gravity to form the sun and the planets. Such explosive stars happen because as the star ages and fuses atoms of successively heavier elements together, this increases the energy per time that is released.

Since a star is an equilibrium between the inward mutual gravity of it's mass and the outward force of the energy released by fusion in the star's core, this upsets the equilibrium in favor of the outward energy. 

The star may try to regain the equilibrium by blasting off some of it's outer layers with the outward energy from the fusion. This would reduce the gravitational pressure on the star's core and slow the rate of fusion. This only happens in the largest stars, where the tremendous mutual gravity of the mass prevents the star from simply swelling to regain equilibrium. A smaller star, like the sun, will swell into a "red giant" when it reaches this stage, instead of blasting off outer layers.

If the removal of the outer layers of the star does not restore equilibrium, as successively-heavier elements are fused at it's core so that more energy per time continues to be released, the entire star may explode from the center, scattering it's matter across space. 

I refer to the blasting away of outer layers of the star as a nova, and the explosion of the star from the center as a supernova. Such a supernova resulted in our Solar System as some of the matter from the previous star fell back together by gravity to form the sun and planets. Iron is so plentiful in the inner Solar System because the ordinary fusion process only goes as far as iron.

I am certain that the previous star, which exploded in a supernova to form the present sun and planets, underwent at least one nova, a blasting away of it's outer layers, before exploding as a supernova. I actually believe that it most likely underwent three nova.

The outer layers of the previous star would naturally contain light atoms. The energy released by the nova welded atoms together into light molecules, such as water, salt, diatomic hydrogen and oxygen, methane and, ammonia. This "welding together" of light atoms by the energy released in the nova is in the same principle as elements heavier than iron being formed from smaller atoms being crunched together only during the tremendous release of energy during a supernova.

The first nova of the previous star, with the highest starting point relative to successive nova, resulted in the distant comets of the Oort Cloud. The second nova resulted in the nearer comets of the Kuiper Belt. The third nova resulted in the molecular gases, particularly methane and ammonia, that compose much of the outer planets of our Solar System.

Finally the star exploded from the center in a supernova, much of the material fell back together by gravity to form the sun and the heavy rocky and metallic material in the planets. We know that the sun is such a second-generation star because it contains heavy elements that are beyond it's current stage in the fusion process.

The vast majority of stars exist in pairs or groups. What looks to us like a single star may actually be a system of multiple stars. We know that Solar Systems, many of which exist around other stars, are formed only from a supernova. An interesting question, which I have never seen before, is whether more than one star can form from a supernova, the explosion of one star.

It seems to me that we tend to presume the way our Solar System came together from a supernova must be pretty much the way other Solar Systems came together also. But what if our previous star had exploded as a supernova without any nova preceding it? There would be no water, which came to earth by comet, or salt which I believe must have come with it because salt on earth is always either in water or where water has been. 

The two atoms of diatomic hydrogen and oxygen in the atmosphere were also put together with energy released during a nova. When we use hydrogen as fuel the two atoms are split so that it releases this energy. So the energy released by a nova joins atoms together into molecules, but the much greater energy released by a supernova crunches atoms together into entirely new, larger, atoms.

It would also mean that the supernova would have been more powerful. If the supernova had been more powerful more light material, particularly hydrogen, would have been thrown further outward. 

That brings us back to the giant planet Jupiter. It is built so much like a star but doesn't have enough mass to ignite as a star. Maybe Jupiter was meant to be a star but the fact that there were nova in the previous star weakened the supernova in which the star finally exploded. 

If not for these nova, if there had only been a supernova, Jupiter might well have gained enough mass to ignite as a star and our sun would be part of a dual star system. The earth would still be there, although there would be no water. This means that more than one star can indeed form from the same supernova.

Conditions in other Solar Systems depend on how the supernova that formed the system played out. I think we tend to presume that it must have been pretty much like our system, but that may not be the case.

7) LIGHT FROM PLANETS AND STARS

Here is something in science that should definitely get more attention. 

There are two ways to tell the difference between planets and stars when looking up at the night sky. The first is that the planets move against the fixed background of the stars, as the planets move in their orbits around the sun. The word "planet" actually means "wanderer".

But the second way involves light. Stars seem to "twinkle" while planets shine with a steady light. There is no twinkling of the planets.

The question is why? There are answers online. Because the star is so much more distant it's light beam is much narrower and so is bent more than the planet's, causing it to twinkle, or something like that. 

I am writing this because I do not agree with the answer online.

Physics and astronomy are related, because the universe operates by the laws of physics. But the two subjects are usually studied separately. While the question of why stars twinkle but planets don't is an astronomical question the answer lies in physics, in the nature of light.

Light consists of electromagnetic waves that can be modeled as a sine wave. It operates much like a water wave except that the light wave is two-dimensional. A sine wave means that one wave cycle starts at zero, continues to a peak, drops back to zero, continues to a corresponding peak in the negative direction, and finally returns to zero, before beginning the next cycle. 

The distance between corresponding points on successive wave cycles is known as the wavelength. The number of waves that pass a fixed point per second is the frequency. The stronger the wave the greater will be it's height, this is known as the amplitude.

Aside from waves in space, alternating electric current operates in the same way.

Let's briefly review how lasers work. There is actually force in electromagnetic waves. Radio waves can be received because they cause electrons to move in the radio antenna.

Light usually consists of a wide variety of different wavelengths. This dissipates the force of the waves. But if we can generate monochromatic light, just one single wavelength, the peaks and troughs of the waves will be lined up, like "marching in step", and the light can exert force.

White is a mix of all colors. Black is the absence of all colors. Gray is a mix of black and white. That is why you never see white, black or, gray lasers.

Somewhat related to the principle of the laser is polarity. The two dimensional waves of light can move forward at all different angles. This does not mean the light moving in different directions, it means the relative angle of the peaks and troughs as the waves move forward.

Suppose that someone shines a flashlight at you. Now suppose that the flashlight is the face of a clock. Some of the two-dimensional waves will be aligned at the angle of 12 o'clock to 6 o'clock. Other waves will be angled at 11 o'clock to 5 o'clock. Still others will be angled from 10 o'clock to 4 o'clock, and so on through all possible angles.

The angle of any two-dimensional wave in this manner is known as the wave's polarity. Once again, polarity does not refer to the direction the wave is moving. A good way to understand polarity is to imagine a flashlight shining at you as the face of a clock.

Ordinary light is a mix of all different polarities. It is possible to filter light so that all of it's waves are of one polarity. Photographers use polarizing filters to cut down on glare. Polaroid sunglasses operate by polarizing the sunlight.

Remember that polarization in light does not mean quite the same thing as in politics. In politics is means that everyone is on one side or the other, with no moderates in between. In light it means to have all waves aligned at the same angle, such as from 7 o'clock to 1 o'clock on the face of a clock.

The reason we do not hear more about polarity is that our eyes ordinarily cannot tell whether light is polarized or not.

Now, back to the light from stars and planets. The reason that stars appear to twinkle while planets don't. 

The light from planets actually is starlight. The sun is a star and the light that we see from a planet is reflected starlight. So why does it make a difference if the light has been reflected by the surface of the planet, or it's clouds?

It doesn't matter whether the light is reflected by the solid surface of the planet or by clouds. The light we see from Mars, Mercury and, Pluto is from the planet's solid surface. The light from Venus, Jupiter, Saturn, Uranus and, Neptune is reflected from the tops of clouds.

It doesn't matter what color the planet is. Mars is red, actually colored by iron oxide or rust. When we look at Venus we are seeing the white clouds of sulfuric acid.

Here is what is happening. It involves polarization. This is my explanation. I disagree with the explanation online.

When light interacts with matter it is partially polarized. Matter consists of atoms and a rough surface. Light is typically scattered in many directions. But the light that hits the atoms at just the right angle is reflected back. This partially polarizes the light. Image a cylindrical structure. If you bounce a ball off it the ball will probably bounce to the left or right. But if the ball hits the surface just right it will bounce right back.

When the light enters the earth's atmosphere it encounters atoms. The wavelengths of light are much longer than the scale of the atoms. But the atoms in the atmosphere, which are always moving, affect some polarizations more than others.

One moment one polarization angle is blocked more, the next moment another angle. That is what causes the light from stars to seem to twinkle. The light doesn't get brighter or dimmer, it is just that the polarities are continually changing. Our eyes cannot detect whether light is polarized or not, but apparently can detect if the polarity is changing.

Our eyes detect light because the waves knock electrons out of atoms in the sensors of our eyes, creating a small electric current. Change in polarization can apparently be detected because electrons are knocked out of atoms with orbitals in one directional alignment, then in another, thus affecting the current that is produced.

With the partially polarized light from planets, because it has already interacted with matter, this does not happen. That is why planets shine with a steady light while stars twinkle.

There is another factor that I would like to add.

The vast majority of the gas that the light passes through in the atmosphere is nitrogen and oxygen. Both of these gases are in diatomic form. What that means is oxygen and nitrogen exist as molecules of two atoms, rather than as single atoms in the air.

What this means is that the molecules are longer in one direction than the perpendicular direction. Think of a diatomic molecule like a dumbbell or a pair of eyes.

The fact that the oxygen and nitrogen in the air is diatomic is why we have weather. A molecule of water, one oxygen atom with two hydrogen atoms, is lighter than the diatomic molecules in the air. This is why water can evaporate and we can have weather. If the oxygen and nitrogen in the air consisted of single atoms, water would not evaporate and we would not have weather.

Hydrogen is diatomic too and when we use it as fuel we are breaking the bond between the two molecules and releasing it's energy.

These diatomic molecules of nitrogen and oxygen cannot block light because the wavelength of light is so much longer than the scale of the atoms. But they can collectively interfere with it. But since the molecules are longer in their length than their width, they interfere with one particular polarity of light more than others.

The molecules in the air are always moving. This means that overall, by random chance, some polarities are more blocked one moment, and other polarities the next moment. The visible polarities of light from stars is thus always changing.

This is what causes stars to "twinkle".

The light from planets, in contrast being already at least partially polarized, does not undergo this process. This is why stars appear to shine with a steady light.

8) CONCLUDING THE SEARCH FOR THE NINTH PLANET

There have been articles in the news about how there must be a massive planet in our Solar System that has yet to be discovered. It would be the ninth planet. The reason for this conclusion is the eccentricity of the orbits of objects in the outer Solar System, such as Pluto and Sedna that are not considered as planets.

By eccentricity I mean the difference between the apogee and perigee of their orbits, the points in the orbits when they are furthest from and closest to the sun. An orbit that was a perfect circle would have an eccentricity of zero.

All planets in the Solar System have elliptical orbits, meaning with some eccentricity. No planet has an orbit that is perfectly circular. But the inner planets, those closest to the sun from Mercury to Mars, have orbits with much less eccentricity, much closer to being circular, than those further out.

My reasoning for why planets inevitably have elliptical orbits is that the planets were formed by collections of debris, that drew together by gravity. The debris came from the large star that preceded the sun, before exploding in a supernova. Some of the debris from that exploding star fell back together by gravity to form the sun and planets. 

This is the way planets are formed and we know that the sun is such a second-generation star because it already contains heavier elements that are beyond it's current stage in the fusion process. The previous star must have been much larger than the sun because only the largest stars can explode as a supernova.

But then why are the icy outermost members of the Solar System, such as Pluto and Sedna, in orbits that are so much more eccentric than the rocky and metallic inner planets? The proponents of a yet-unseen ninth planet claim that there is a massive planet further out that is exerting gravitational pull on these planets, thus distorting their orbits.

This is what led to the discovery of first Neptune, and then Pluto. The orbit of Uranus didn't seem quite right, and the conclusion was that there must be a gravitational influence on it coming from further out. But Pluto is a mere speck, compared to the other two, and could not have much of a gravitational effect on them.

The trouble with this hypothesis of a ninth planet is, of course, that no one can find a trace of it. Some have wondered if the mystery planet might be dark, making it difficult to see, although this would put it in contrast to all of the other planets. Even if this supposed planet was too dark to be easily seen, if it were massive enough to exert such a gravitational influence then it would certainly draw many of the icy objects that are numerous in the outer reaches of the Solar System into it's orbit, and these would certainly be bright enough to be seen.

One thing that I find really interesting is that the orbital eccentricity of an object in the Solar System, a planet or planetoid or comet, depends on what it is made of. If it is composed primarily of rock and metal, as are the inner planets, it's orbit will tend to be of low eccentricity, or closer to being a circle. But if it is composed of ices, frozen water, methane or, ammonia, it's orbit will tend to be of much higher eccentricity. Comets, composed primarily of ice, have extremely eccentric orbits. Comets that collided with earth are where our water came from.

That actually leads us to an explanation of why the orbits of objects like Pluto and Sedna are so eccentric, and it doesn't require the gravitational influence of any ninth planet. 

In the compound posting on this blog, "The Configuration Of The Solar System Made Really Simple" March 2017, we saw that, before the star that preceded the sun exploded in a supernova, there must have been at least one nova. I believe that there were likely three nova before the supernova.

A star forms when enough mass is brought together by it's mutual gravity to overcome the electron repulsion that keeps atoms separate and so crunches smaller atoms together into larger ones. The new larger atom contains less overall energy than the ones that were crunched together to form it. As fusion takes place this extra energy is released as radiation, and this is why stars shine.

A star is an equilibrium between the inward pressure of gravity and the outward pressure of the energy being released by the fusion. But as the fusion process continues, fusing lighter elements into heavier ones, more energy is being released per time as successively heavier elements undergo fusion.

This upsets the star's balance between the inward and outward forces. Some stars, depending on the type of star and it's mass, swell outward to become "red giants". This is the sun's likely fate. But in larger stars the change in equilibrium is more abrupt. As the outward pressure exceeds the inward, the outer layers of the star may be blasted away. This may restore the equilibrium as the loss of mass slows the fusion process at the center of the star. If it doesn't then the entire star may explode from the center.

The blasting away of the outer layers of the star is referred to as a nova. The explosion of the star from the center is referred to as a supernova. When a supernova occurs much of the mass typically falls back together by gravity to form a second-generation star, likely with planets. That is how our Solar System formed.

Orbital energy is higher with orbits of higher altitude. The earth, in orbit around the sun, has more orbital energy than Venus. The matter that was blasted off the star that preceded the sun started at a higher altitude than the majority of the matter that was thrown outward by the supernova, simply because it started at a higher altitude.

This means that the matter initially thrown outward by the one or more nova, that occurred before the supernova, would be at a higher altitude than the matter that later fell back together, to form the sun and planets, after the supernova.

There are two differences between the matter that forms the planets and the matter that forms the objects in the outer Solar System. 

First, the matter in the outer Solar System formed from matter thrown outward by nova before the star that preceded the sun exploded. The planets, in contrast, formed from the matter that was thrown outward, but fell back together after the supernova.

Second, the matter composing the planets is mostly rocky and metallic while that composing the objects in the outer Solar System is ices of light molecules, such as water, ammonia and, methane. The reason for this is that lighter atoms were concentrated in the outer portions of the star, with heavier elements at the center, and the lighter elements were thrown outward by the supernova.

The energy released by the nova fused light atoms into the molecules of water, ammonia and, methane just as the much greater energy of a supernova fuses atoms together to form all elements that are heavier than iron. The ordinary fusion process, up until the actual supernova, only goes as far as iron. This is why iron is so abundant in the inner Solar System, it is the most common element on earth by mass.

This is the reason why elements like hydrogen and oxygen tend to be diatomic, two atoms together in molecular form. The bond contains energy and that energy came from a nova from the star that preceded the sun, before it exploded in a supernova. When we use hydrogen as fuel we are not releasing energy from the sun, as with fossil fuels, we are releasing energy from a nova from before the sun existed.

The reason that Jupiter is more massive than all of the other planets combined is that there was an overlap between the zones of where the initial light molecules were thrown outward by the nova, before the star that preceded the sun exploded, and the heavier matter that was thrown outward when that star exploded. Jupiter is in the right orbit to get the best of both worlds, it has a core of heavy rocky and metallic material, which had strong enough gravity to collect a vast amount of the lighter material.

With that background now finally we get to why the orbits of objects in the outer Solar System, for example Pluto and Sedna, have such eccentric orbits. It has nothing to do with any gravity from a massive but unseen planet. It is because of orbital energy.

The icy objects that formed from the lighter atoms thrown outward by the one or, probably more than one, nova were in orbits around the previous star, which was much more massive than the sun. That star exploded and some of the mass fell back together to form the sun. But now there had to be much less orbital energy, simply because the sun was much less massive.

Since, with orbits around a given mass, a higher orbit has higher orbital energy, this meant that the orbital energy of the icy objects in the outer Solar System, that were now in orbit around the sun, had to decrease. But the information of their orbits around the massive previous star couldn't just be lost.

What happened is that their orbits "shrank", keeping the highest point but drastically decreasing the area that their orbits covered. Their perigees, the lowest points of their orbits, moved much closer to the sun. That is why these icy outer objects, which include comets, have such eccentric orbits and we do not need the gravity of an unseen planet to explain that.

Here is a link to the compound posting, "The Configuration Of The Solar System Made Really Simple":

http://markmeeksideas.blogspot.com/2017/03/the-configuration-of-solar-system-made.html?m=0