Summary of My Approach, as Requested
May 1, 2026
Dear Sir,
I understand your reservation regarding the use of an accelerated-motion example to discuss special relativity. However, my reasoning does not rely on the treatment of acceleration, but rather on an implication internal to special relativity itself.
The Physical Status of Simultaneity
Indeed, if one considers that the invariance of the speed of light in a one-way measurement is a physical property—and not merely a conventional one—then it directly implies a relativity of simultaneity that itself has a physical status. It is through this perspective that it becomes possible to move beyond the generally accepted interpretative framework.
From this point of view, such a relativity of simultaneity, in its physical aspect, may lead to difficulties of coherence when applied to configurations involving material objects.
Thus, the difficulty does not lie in acceleration as such, but in the physical status of simultaneity as it follows from the postulate of the invariance of the speed of light.
From Special to General Relativity
Moreover, this issue does not seem to be limited to special relativity alone. General relativity includes local situations in which spacetime is approximately flat and where the results of special relativity apply. The question of the physical status of simultaneity may therefore also arise in these configurations.
My idea is that general relativity thus allows, at least locally, the treatment of situations involving changes in the state of motion within a framework where spacetime is flat.
Under these conditions, the results of special relativity remain applicable, which suggests that the question of the physical status of simultaneity does not depend solely on the strict framework of rectilinear and uniform motion.
Does the Speed of Light Depend on Spatial Structure?
In this context, I question the truly invariant character of the speed of light and consider the possibility that it may depend on the spatial structure.
Such a hypothesis would lead to a reconsideration of both certain interpretations arising from special relativity and alternative approaches of the Lorentzian type.
The Question of Length Contraction
Within this framework, the question of the physical status of length contraction also deserves clarification. In Hendrik Lorentz’s approach, this contraction plays an essential role in accounting for the null result of the Michelson–Morley experiment by maintaining an effective invariance of observables.
However, if one considers a more relational approach to space and motion, it becomes legitimate to question whether this contraction is necessary as a fundamental explanation, and whether experimental results might be interpreted differently depending on the spatial configuration under consideration.
This question has notably been the subject of an exchange with Aimé Savouret, a transcript of which is available as a document on my website.
Toward Experimental Verification
It is in this spirit that I am exploring various avenues, particularly in connection with experimental setups such as interferometry in non-terrestrial configurations, where the physical conditions differ from those of the Michelson–Morley experiment.
All these elements may thus invite consideration of a more general interpretative framework, aiming at a unified approach to space, time, and motion.
Yours sincerely,
Philippe de Bellescize