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Can you prove that homogeneity and isotropy alone disallows this possibility?

Eugene Shubert

http://www.everythingimportant.org/relativity/generalized.htm

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Can you prove that homogeneity and isotropy alone disallows this possibility?

Eugene Shubert

http://www.everythingimportant.org/relativity/generalized.htm

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jcsd

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In the twin paradox (which is not a paradox as answer shows that it is self consistent) only one twin travels anywhere and the symmetry is broken due to inetria.

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My key words were “shrinking uniformly in time” and “Can you prove that homogeneity and isotropy alone disallows this possibility?”

My question is about geometry and the implications of homogeneity and isotropy.

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jcsd

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Length contraction is pretty standard stuff in special relativity. My perspective is that of a mathematician, not a physicist. My interest is only in mathematical possibilities, not the way the universe really is. This is the correct forum to discuss motion.

It is often said that the Lorentz transformation can be derived from the homogeneity and isotropy of space alone. I’m looking for a concrete counterexample to this claim. I do have a mathematical curiosity about generalized special relativity.

My question comes from several ideas and facts, one of which is a crazy theory in physics called VSL. I like to make fun of the physicists who have respect for it by saying, “We were giants yesterday and we’ll be Lilliputians tomorrow.”

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jcsd

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Tired light isn't a crazy theory it's one of the best alternatives to conventionial big bang cosmology, however it is still severely deficient at explaining the universe around us.

I think you have your wires crossed, theories on the exapnsion of the universe generally assume that space is roughly homogenous and istropic and that the expansion is therefore uniform. This may be what you're looking for:

http://www.jb.man.ac.uk/~jpl/cosmo/RW.html

http://www.astro.rug.nl/~onderwys/sterIIproject98/wijnholds/mathematics.html [Broken]

I think you have your wires crossed, theories on the exapnsion of the universe generally assume that space is roughly homogenous and istropic and that the expansion is therefore uniform. This may be what you're looking for:

http://www.jb.man.ac.uk/~jpl/cosmo/RW.html

http://www.astro.rug.nl/~onderwys/sterIIproject98/wijnholds/mathematics.html [Broken]

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