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Originally Posted by CraigS
Right. So, in summary we have (I hope):
i) the "blinking out phenomenon" is explained by cosmological redshift, which is encapsulated in the R-W (FLRW) Metric solution, which is an accelerating universe model;
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When you apply Einstein's field equations
with the cosmological constant to the R-W metric, you get a set of equations known as the
Friedmann equations. The solutions provides various parameters for the Cosmological model for an accelerating Universe that includes the geometry of the Universe, a time dependant Hubble "Constant", density, pressure, etc.
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ii) the event horizon for a BH is based on gravitational redshift, as is time dilation within the grav. well;
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Correct
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iii) Lorentz time dilation is applicable for objects moving with respect to an inertial observation reference frame (eg: constantly expanding universe models, as distinct from acceleratingly expanding models);
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No. It doesn't apply to a constantly expanding Universe as the Universe is still accelerating in the observer's frame of reference. Einstein's field equations
without the cosmological constant term is applied to the R-W metric. The R-W metric is consistent with a constant expanding Universe.
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iv) the Michelson Morley experiment (MMX) was designed to prove a cosmological aether, but resulted in disproof of a cosmological aether;
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Correct.
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v) the results of the MMX experiment were eventually explained by Lorentz contraction/dilation, and was wrapped into special relativity.
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Lorentz attempted to explain the MMX experiment by an ad hoc use of the Lorentz transformations but under the assumption that aether existed.
Einstein on the other hand mathematically derived the Lorentz transformation under the assumption that aether did not exist.
Regards
Steven