Abstract
The equivalence between the constancy of light in all inertial, nongravitated frames and time dilation is derived in this paper. Length contraction is not part of this equivalence and is eliminated by Occam’s razor. The null result of the Mickelson-Morley experiment requires a different explanation for the same intensity of the recombination of split light beams as originally transmitted, especially in the perpendicular component. Vector addition of velocities applies to light’s behavior in both parallel and perpendicular components of the moving Mickelson-Morley and Kennedy-Thorndike experiments. If the one-way speed of light is not a universal constant in all directions for moving inertial frames, then the time dilation formula is incorrect. One must question any time dilation experiments, particularly the claims in the Hafele-Keating report, which contains several inaccuracies and data manipulation. Another time dilation experiment with better atomic clock and rigorous testing is warranted.
Highlights
When the observed phenomena is velocity dependent, such as Doppler measurements of an electromagnetic source, the inertial observer must convert recorded data to replicate the other inertial observer’s data by the correct transformation, because the observer’s velocity will alter the recorded frequency from a broadcasted source
It has been shown that the Mickelson-Morley interferometer experiment with equal arms, as well as the Kennedy-Thorndike interferometer with unequal arms, can not prove or disprove a hypothetical aether to convey the transmission of light [1]
It has been shown in this paper that the postulate of universal constancy of light in all directions for all inertial, nongravitated frames is mathematically equivalent to the condition that the time dilation formula is true
Summary
When the observed phenomena is velocity dependent, such as Doppler measurements of an electromagnetic source, the inertial observer must convert recorded data to replicate the other inertial observer’s data by the correct transformation, because the observer’s velocity will alter the recorded frequency from a broadcasted source. Over the last several years, there has been a resurgence to perform precise Michelson-Morley experiments using lasers, masers, cryogenic optical resonators, etc This has been due mostly to predictions of quantum gravity that suggest the speed of light may vary at microscopic lengths accessible to experiment. The first of these highly accurate experiments was conducted by Brillet and Hall, who analyzed a laser frequency stabilized to a resonance of a rotating optical Fabry-Pérot cavity [2]. International Journal of Applied Mathematics and Theoretical Physics 2017; 3(3): 50-55 moving along the arm perpendicular to the interferometer’s constant velocity follows such a vector sum of velocities, the constant output intensity within interferometers will require a new explanation This will be analyzed in more detail in this paper. Time dilation tests as the HafeleKeating clock transport will be scrutinized
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