Slowing time by stretching the waves in special relativity
Résumé
The time dilation of special relativity is considered as a pure relativistic phenomenon not deduced from wavelength distortion. Alternatively, it is suggested here that time distortion always originates from wavelength distortion, including in special relativity. A link between the special relativistic time and the quantum of time is first established to propose that wavelengths are adjustable uncertainty parameters allowing to maintain the invariance of the light speed and the number of periods. The light clock of Einstein is then used to develop a new Doppler analysis in the frame of an external observer and transformed to cancel the virtual effect between comoving points. This approach yields a conjectural Doppler formula with remarkable properties. Contrary to the previous Doppler equations characterized by their asymmetry, the new formula gives geometrically symmetrical Doppler effects in the whole space in front and behind the closest point from the source, whose center of gravity corresponds precisely to a global inter-frame dilation factor $ 1/\sqrt{1-(v/c)^2} $. These results extend the direct relation between wavelength and time distortion to special relativity.\\
Un nouveau calcul Doppler lumineux explique la dilatation du temps de la relativité restreinte.
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