I made the following comments on the essay page "Why Can't Y'All See Things My Way" by Joe Fisher. I'd like to keep all my comments on the same page as my essay. Maybe that's got something to do with my being a freakosaurus for neatness and tidiness :-) So I'm going to copy and paste my comments to this page, too -
In the abstract of your essay, you mention "the visible Earth's extinction" and in the essay's first section after the intro, you start a question with "Is there a theoretical -- and preferably mathematical -- framework ..." In the spirit of other peoples' essays inspiring thoughts in me and my essay inspiring thoughts in others, I'd like to comment on those two things in your essay. My comments lead to the completed version of the shorthand formula E=mc2, redefinition of electromagnetic and gravitational waves, all bosons and fermions being produced by gravitational/electromagnetic interaction (this accounts for matter's wave/particle duality: see Vector-Tensor-Scalar Geometry in my essay) - plus the conclusion that the universe is, always was, and always will be incapable of expanding.
When you speak of Earth's extinction, are you referring to the time in about 5 billion years when the Sun is supposed to expand into a red giant and engulf Mercury and Venus and possibly Earth (the expansion would probably make Earth uninhabitable in less than 1 billion years)? It's entirely possible that there may not even be a red giant phase for the Sun. This relies on entropy being looked at from another angle - with the apparent randomness in quantum and cosmic processes obeying Chaos theory, in which there's a hidden order behind apparent randomness. Expansion to a Red Giant (and so much else) could then be described with the Information Theory vital to the Internet, mathematics, deep space, etc. In information theory, entropy is defined as a logarithmic measure of the rate of transfer of information. This definition introduces a hidden exactness, removing superficial probability. It suggests it's possible for information to be transmitted to objects, processes, or systems and restore them to a previous state - like refreshing (reloading) a computer screen. Potentially, the Sun could be prevented from becoming a red giant and returned to a previous state in a billion years (or far less) - and repeatedly every few billion years - so Earth could remain habitable permanently.
Now, about the mathematics -
Many scientists have said mathematics is a universal language because 1+1=2 no matter who you are. The trend in modern physics is towards a unified theory of the universe - starting with the unified theories of the 20th century (notably Einstein's) and extending to string theory and quantum gravity. What happens if a person in, say, the 24th century is raised believing in a unified theory that has implications in physical terms for everything in space-time? Would he or she think there is actually only one thing? Would (s)he think it's a mistake to add one apparently separate thing to another apparently separate thing to produce two, and that such addition is merely the result of the way the body's senses operate? (Our whole mathematical system is ultimately based on the idea that 1+1=2, and would therefore be incomplete in a unified universe.)
Assuming the maths humanity has developed does indeed apply to the universe, it cannot be totally in error - merely incomplete. Even Einstein's famous mass-energy equation E=mc2 would be incomplete, requiring quantization ie production of a theory of quantum gravity via unification with the wave-particle duality of quantum mechanics (which has also been repeatedly verified by experiment).
The wave-particle duality mentioned in the section above can be described by starting with v = fλ (wave velocity equals frequency times Greek letter lambda which denotes wavelength). Velocity (speed in a constant direction) of a collection of particles like a car equals distance divided by duration. Since distance is a measure that has to do with space while duration is a measure that has to do with time, it equals space divided by time. (Brian Greene in "Speed", part of his "Space, Time and Einstein" course at http://www.worldscienceu.com/courses/1/elements/YhF9pw) Gravitational and electromagnetic wave motion (space-time motion) travels at c, the speed of light ie
v= fλ = distance/duration = space/time = c
A particle's velocity, whether the particle be a boson or fermion, is directly dependent on its energy - so it may be said that
E = v=fλ = distance/duration = space/time = c
This is not quite right since c represents energy alone, and space-time deals with mass-energy, so it's better to say
E = v=fλ = distance/duration = space/time = mc
What about the 2 in E=mc2? In later papers Einstein repetitively stressed that his mass-energy equation is strictly limited to observers co-moving with the object under study, and comovement may be represented by the exponent 2.
In order for E=mc2 to apply to the universe (and it does), observers must be able to co-move with anything being studied (even a light beam). Moving in the same direction is no problem but how can anyone or anything move at the same speed? Present-day observers can never move at the speed which light covers in the vacuum of space-time, so the only way for observers and light to co-move is for the nature of electromagnetism to be revised.
Like waves of water, electromagnetic waves are known as transverse. Consequently, the particles (photons) of light and microwaves etc that travel through space-time would have relatively little movement themselves. It's the disturbances from the sources of electromagnetism (shock waves of fluctuating amplitudes and frequencies) that travel. (They go through the fields of energy filling the so-called vacuum.) Since E=mc2 only applies to photons when they're at rest, the equation can only describe photons that have no motion in one direction - the horizontal "line of propagation" in which the shock wave moves. The photons can only move in the vertical direction, perpendicular to the shock wave - if they move at all.
As Paul Camp, Ph.D. in theoretical physics, writes at https://www.quora.com/How-big-is-a-photon -
"A photon is a quantum of excitation of the electromagnetic field. That field fills all space and so do its quantum modes."
This is consistent with energy being transferred from one place to another (as wave motion) without involving an actual transfer of particles (little or no movement of photons). General Relativity says gravitation results from the curvature of spacetime (gravity IS space-time) ie the gravitational field also fills all space, so the seeming motion of gravitational waves could also be due to fluctuations of shock waves' amplitudes and wavelengths causing excitations (called gravitons) in the field. These excitations cover 186,282 miles every second.
The above ideas of gravitational and electromagnetic waves displaying little or no motion are a new interpretation of John Wheeler's geon or "gravitational electromagnetic entity", an electromagnetic or gravitational wave which is held together in a confined region by its own nature. (J. A. Wheeler, (January 1955). "Geons". Physical Review. 97 (2): 511 - doi:10.1103/PhysRev.97.511)
If there's little or no movement of photons and gravitons, the universe could not be expanding.