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The expanding universe is based on the largely unspoken premise that electrical charge is a universal constant. However, as far as I know, that is an unverified assumption.
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*** I am still trying to sort out what is the actual question and its relevance to the quest to find the TOE in physics.
I would however agree that the discussion, being centered around important phenomena in physics, is most welcomed at this point.
With respect to electrical charge being a universal constant my view is that this is correct: time, space and energy are universal constants and charge is a characteristic of a UNOMA [photon particle] in my theory which is a particle made up of time, space and energy.
It follows that the UNOMA, and hence charge, is a universal constant: someone can represent what I have said here in correct math terms. That is that a UNOMA is a function of [T, L, and M or energy] and T, L, and M are universal constants => UNOMA [or charge] is a universal constant.
With respect to the question "
why it's expanding, and more importantly, why the expansion appears to be accelerating...?"
This seems more of a math question than a physics one in my view from my preliminary considerations: if more details about the question are presented then I might say differently.
I am not an astronomer but a theoretical scientist, so I can only take it for granted that the universe is in fact expanding according to those who have actually looked through their instruments.
I actually view it as very believable that the universe started as, or at some time experienced, the Big Bang and small replicas of this event are seen from the manner in which black holes develop into planets and solar systems in my view.
Briefly, if you take an object say a 100 kg steel ball, and suddenly remove all orbiting electrons, then all the remaining nuclei will pull together and the sphere will implode into a miniature black hole.
After the nuclei collide at the center of the implosion they [or more accurately the UNOMAS from which they are made] will bounce off each other so that the entire mass will begin to expand or explode giving off energetic UNOMAS as EMR until the mass re-cools and reforms an object of reduced mass.
Now this is only an illustration of what is theoretical possible because with a mass as small as a 100 kg object the gravity field produced is hardly expected to be large enough to prevent the entire thing from decaying into photons.
Now, I have been very long winded here but back to the question, the universe is expanding in my view because it has gone through and is going through the same processes the steel ball I described above went through.
The particles or objects formed in the process [planets etc in the case of the universe] will all be moving outward radial with
constant velocity once they escape the gravity field of the overall mass of matter/ object.
I earlier mentioned that the problem was a math problem: it can easily be shown by any math student that the surface area of a sphere, whose radius is increasing at a constant rate, will increase at a constantly increasing rate since the surface area of the sphere is proportional to r^2.
I would think the astronomers are effectively looking at the surface of a sphere when they peep thru their telescopes and are seeing the rate of increase of area of that sphere which, as I have explained, can be shown mathematically to be increasing at increasing rate for constant rate of increase in radius of that sphere.
I'll leave it here for now until I get comments from other participants.
Roger