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1) Matter/energy interacting with matter/energy leads to time dilation (the more there is and the closer together the greater the effect). How the matter/energy is moving affects this interaction.
2) Time dilation leads to an acceleration effect towards the massive body (as explained with the red and blue shift in previous comments).
3) Entering an ever increasing area of time dilation naturally leads to length contraction (as explained before and can be explained similar to light entering a medium like water; metamaterials can simulate this effect by continuously changing the refractive index; this also leads to a curving effect). Conservation of wavetrain/information also demands this effect. Gravity is of course different because of its effect on time/frequency
4) Preserving the strength of the fundamental forces relative to one another forces the preservation of c locally. Wavenumber in x, y, and z will stretch/contract as time dilates such that c remains the same locally in all directions. This would look like space "warping."
5) The Plank length is derived from the strengths of the fundamental forces. The Plank length would transform just like everything else. The Plank length like the speed of light is a locally measured value.
6) Mass wouldn't disappear entering into a gravity well even if approaching an event horizon. Sure, time is dilated but the matter is also compressed and the inertia and gravitational field of the mass is very much present.
7) Gravity may dilate time (shift frequency lower) and thus increase/decrease wave number in x, y, and z to maintain a constant c locally. However, I don't think this fundamentally changes the background of the universe whatsoever. An entire blackhole gravity well Lorentz Transforms relative to a far off observer just like a small spaceship would (actual acceleration [changing speed] still causes some ripples AKA gravitational waves just like acceleration causes EM waves but Lorentz Translation, constant speed, does not).
QuoteBy the way we can measure the one way speed of light on the Earth using atomic clocks and relativity. To measure the one-way speed of light you must use 2 or more clocks that are spatially separated. You must know when the light beam is at point A and you must know when the light beam is at point B. Einstein, Lorentz, and others exhaustively showed that fast clock transport (synchronizing with light) and slow clock transport are identical.
Start out at any Latitude and travel the same road in a Longitude and back the clocks will return synchronized with the one you left.
Well that is interesting but also a lot to digest. I assume k is the Bondi factor.
Quote from: GoC on Today at 14:08:52Start out at any Latitude and travel the same road in a Longitude and back the clocks will return synchronized with the one you left.Not possible unless you move too slowly for the timing difference to be measurable.
You have not fully comprehended the scope of atomic clocks ticking at the same rate on the Earth at sea level. This allows a fixed point all along the Latitude. Moving west of a latitude shortens the distance while moving East increases the distance. The distances cancel for two way speed of light exactly. Your clock speeds up going West and slows down going East. When you stop it remains same as all clocks at sea level. We are using all situations at sea level or another equal level. You could circle the earth 8 times at the equator west to east and lose a little time upon synchronization. When you retraced your steps that 8 times the clocks would be back in synchronization.