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http://www.discover.com/issues/sep-04/features/testing-the-limits/?page=1"Testing the Limit of Einstein’s Theories....IS THE SPEED OF LIGHT CONSTANT?....If you compare a lot of high-energy photons with a lot of relatively low-energy ones, you should find that on average, after a billion-year race, the high-energy ones reach GLAST’s detector sooner—by about a millisecond. He and other quantum gravity theorists are pretty excited by that possibility, which just goes to show what they’re up against."
Einsteinians know Einstein would disagree about "little falsehood". Once he said: "If the speed of light is the least bit affected by the speed of the light source, then my whole theory of relativity and theory of gravity is false." However the solution Einsteinians have found is both elegant and all-embracing: Violations are tiny, axioms are just a little false, Einstein is just a little wrong.