What is or is not a paradox?
you are hiding behind a mass of equationary;
all that has to be shown, in modern terms, is that
the angular momenta of atoms must be taken onto account
for any acceleration toward c, which is the speed
-- not the velocity -- of light, actually ne'er achieved,
in no perfect vacuum.
in any case, the curvature of space was forensically adduced
by Erastosthenes, and instrumentally by Gauss
(surveying Allsace-Lorraine for the French government).
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