On Mon, Jan 27, 2020 at 2:18 PM Alan Grayson <[email protected]> wrote:
>>You can fit an infinite volume inside a expanding sphere if you take length >> contraction into account.Einstein tells us that if the universe is a >> expanding sphere then the more distant a star is from us the faster it >> will be moving away from us and thus the thinner it will look to us, >> this is even more important if it's not just expanding but accelerating. > > > *> Failing to apply length contraction (and I'm not sure it is applicable > in this situation),* Interesting. Why aren't you sure? We know for a fact time runs slower relative to us for an observer in a distant galaxy because we can see the redshift, the decrease in frequency, of light that comes from there. But if clocks ran slower for them but lengths did not also contract for them then they would observe a different speed of light then we do. But we also know for a fact from other experiments that the speed of light is the one true constant for everyone everywhere, the observed speed of light does not depend on the speed of the observer or on the speed of the source producing the light. So why are you "not sure it is applicable in this situation"? > *would just mean that the estimate without it would be too large, but > not infinite. AG * Neither Einstein's theory or anything else in physics says length contraction, time dilation, and mass increase discontinuously stops at some point short of the speed of light, they don't suddenly stop increasing, they increase continuously up to the speed of light. An expanding spherical universe that has a constant speed of causality would follow 3D hyperbolic geometry just as MC Escher's woodcut "Circle Limit III" follows 2D hyperbolic geometry. John K Clark -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1YZPfvYbQzx-P5V351QLiX%3D5MphEW58_X%3D532Yr5c3aw%40mail.gmail.com.
