Dear Joe,
If there is only one dimension it still must present to us the things that we see as we see them. In man's standard concept of a one dimensional world, you could only have point objects or line objects. Even the discs or squares that you mention would be considered two dimensional objects. This means that your concept of a single dimension would have to be different than man's current concept. You seem to be either unable or unwilling to describe how your single dimension concept works to allow what man would at least call a two dimensional object to be in our world if it contains only one dimension. When I put a spherical baseball on a table and look at it, I don't see just a disc. I can clearly see that the center of the image of the ball is higher or closer to me than the edges. As I move my head to the side, I can see that the ball continues to bend around and touches the table on the bottom side. If I continue to look at the ball and move my head past the top of the ball in the other direction, I see the same thing on that side. Putting this continuous image together it is clear to see that the ball is not just a disk, but is actually spherical in shape. If I pick the ball up and hold it in my hands with my fingers wrapped around it, I can feel the continuous curvature of the ball all around it, which confirms my vision of it as a sphere. This shows me that it is what man calls a three dimensional object. If I look at a cube it may look like a rectangle if I only look at it from straight above it, but again, if I move my head around so I can see its sides also, it can be clearly seen to be a cube. If I hold a cube in my hands I can easily feel the six straight sides that meet at what man would call ninety degree angles and the eight corners that confirm to me that my vision of it as a cube and not just a rectangle is valid. It is another example of what man would call a three dimensional object. Your single dimension would have to support these observations to be valid, but you don't appear to be able to explain how that would work. When I look at the world around me, I see some things that have surfaces that are closer to me and others that are farther away from me. There appears to be space between many of these things. I believe that you would say that it is not empty space, but is the atmosphere and that as I move through it my surface is in complete contact with its surface except any part of me that is against the surface of something else. Since I am enclosed within this surface, this would explain how the organs in my body have their own surfaces even though they are completely enclosed in the surface of my body. In the same way each cell in my body has its own complete surface inside my body. The liquid inside of those cells also has its own complete surface and the DNA and protein machines in the cells also have their own complete surfaces. The atoms that make them could also be looked at as having their own surfaces. Even the matter particles that make up the atoms could be considered to have surfaces depending on how you define surface. Looking at things in this way, things would be made up of surfaces inside of surfaces inside of surfaces, etc.
I have not seen you give any convincing arguments for the necessity of an infinite surface, an infinite dimension, or infinite light. When I look around the world I see many objects that are not infinite in size such as the stars in the sky. Man has no way to prove whether the universe is infinite or finite because we are just very small creatures in what we know to be at least a very large universe and have no way to go or even look far enough away to see if there is an end to it or not. If there was a big bang as seems to be man's current established belief, then it is reasonable to believe that it could have expanded only so far since then and would, therefore, be finite.
Light comes in different frequencies. The frequency in visible light is what gives it its color. The highest frequency that we can see is in the blue/violet color range. Above that is the invisible ultraviolet frequency range. It is what gives you sunburn if you stay out too long with exposed skin on a bright sunny day. The lowest frequency light that man can see is in the red color range. Below that is the invisible infrared range. It is what you feel as heat coming out of a radiant heater. The microwave frequency range is below that. It can make water molecules vibrate to generate internal heat that is used in microwave ovens to cook food. Microwaves are also used in communications to send messages. Radio waves are still lower frequency light waves that are mostly used for communications. Of course there are many other uses for all these frequency ranges of light. I am sure that my wife could explain permanent waves better than I could and why they really aren't actually permanent, etc. Waving goodbye is, of course, a much too difficult subject to cover without writing many books about it, I'm sure you will agree to that.
Sincerely,
Paul