From conceptual reflexion :

to experimental verification

A thought experiment called “The Shuttle and Missile Objection,” highlighting a logical inconsistency in special relativity when the existence of physical bodies is considered.

This paradox leads to a reconsideration of simultaneity: it cannot be purely relative, and the existence of a universal present is necessary to ensure the coherence of the physical world.
It follows that the invariance of the one-way speed of light cannot be maintained in certain configurations.

The goal of the proposed experimental tests (interferometry and Doppler analysis) would be to evaluate how observed effects depend on spatial configuration, in cases that have so far been little inventoried.

Two approaches could be explored:

1. Interferometric test
– Place a compact interferometer on board a spacecraft to examine whether interference variations depend on the vessel’s motion relative to a given spatial configuration.
As shown in the conclusions of “The Shuttle and Missile Objection,” the case of a spacecraft differs from that of the Earth because of its mass, and length contraction must be considered within a relational perspective, distinct from those of Einstein or Lorentz, which makes such an experiment possible.

2. Doppler and time-variation analysis
– Use Doppler measurements or ultra-precise clock comparisons (optical or radio links) to determine whether variations in proper times between two bodies depend on their motion relative to the spatial configuration.

The conceptual novelty lies here: physical effects may depend on how motion is embedded in an actual spatial configuration, and not only on the relative motion between observers, as in the current treatment of the twin paradox.

If such a dependence were demonstrated, it would point toward a relational structure of space-time.