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A constancy in the sense of the Michelson-Morley experiment which, in
Einstein zombie world, could easily become constancy in the sense of
Einstein's 1905 false light postulate:

http://www.edge.org/documents/archive/edge196.html
George Smoot, Recipient, The 2006 Nobel Prize for Physics: "When I
taught special relativity to my physics students at Berkeley, I
tended, like many of my colleagues, to follow a well-worn path: first,
the Michelson-Morley experiment ("The most important thing that ever
happened in Cleveland"), with its null result on the motion of Earth
through the so-called luminerifous aether (thought to be the medium
carrying light waves) and its demonstration that the speed of light is
constant."

http://www.hawking.org.uk/lectures/dice.html
Stephen Hawking: "Both Mitchell and Laplace thought of light as
consisting of particles, rather like cannon balls, that could be
slowed down by gravity, and made to fall back on the star. But a
famous experiment, carried out by two Americans, Michelson and Morley
in 1887, showed that light always travelled at a speed of one hundred
and eighty six thousand miles a second, no matter where it came from.
How then could gravity slow down light, and make it fall back."

Compare with:

http://philsci-archive.pitt.edu/archive/00001743/02/Norton.pdf
John Norton: "Einstein regarded the Michelson-Morley experiment as
evidence for the principle of relativity, whereas later writers almost
universally use it as support for the light postulate of special
relativity......THE MICHELSON-MORLEY EXPERIMENT IS FULLY COMPATIBLE
WITH AN EMISSION THEORY OF LIGHT THAT CONTRADICTS THE LIGHT
POSTULATE."

Pentcho Valev
pvalev@yahoo.com