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StateOfTheEqn
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Among the three Friedmann models k=-1,0,+1, the only model in which the inverse-square law is valid at all distances is that for k=0. In other words, its validity depends on the flatness of space. It is easy to show using the R-W metric with k=+1 that objects get magnified and that effect increases with distance. The magnification not only affects the apparent size but also affects the brightness of 'standard candles'.
Two questions:
(1)Is the value for k=0 in the current consensus model calculated assuming the validity of the inverse-square law? That would obviously create a circular argument.
(2)By affecting the brightness of distant standard candles, can a failure of the inverse-square law account for the apparent acceleration in the expansion of the universe by underestimating the distance of those galaxies producing red-shifts greater than that predicted by the Hubble relation?
Two questions:
(1)Is the value for k=0 in the current consensus model calculated assuming the validity of the inverse-square law? That would obviously create a circular argument.
(2)By affecting the brightness of distant standard candles, can a failure of the inverse-square law account for the apparent acceleration in the expansion of the universe by underestimating the distance of those galaxies producing red-shifts greater than that predicted by the Hubble relation?