Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.e1053f&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #E1.053
Physics
Scientific paper
Analyzing the conceptual-physics consequences and interpretation of Einstein's GR, the spatial dependence of the light velocity, c, is considered - in particular the known disagreement between the ``locally measured'' c = co and the slower average speed predicted and observed in Shapiro's experiments. The usual GR formula for Shapiro's delay time, T, (e.g. (9.91) in James B. Haertle, Gravity, Addison Wesley, 2003, page 214), is essentially identical with a straight-line earth-reflector-and-back integral, using a variable local c = co(1-2M/r). And, a small change of the earth radius, rE will change the total T equivalent to that velocity at r=rE. The locally measured c at the minimum radius, r1, is given by putting the ``earth's'' and ``reflector's'' positions symmetrically around r1, at a distance dx = r1d . In this case, a dx-expansion of formula (9.90) in Haertle leads to a non-Newton delay time, dT = (2.5 M/ r1)dx/co - possibly indicating a small anisotropy of c. Thus, the interpretation of co as a constant locally-measured speed, co, clearly seems inconsistent with accepted GR calculations of the Shapiro-type measurements. Further results will be reported.
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