**Author:**

Viazminsky, Caesar P

**Category:**

Research Papers

**Sub-Category:**

Relativity Theory

**Date Published:**

June 28, 2024

**Keywords:**

relative simultaneity, Einstein’s synchronization

**Abstract:**

The Einstein’s criterion (EinCr) for synchronization can be simplified to yield one-way synchronizing light signals which is similar to what is adopted in the theory of universal space and time (TUST) for setting up a global time in an inertial frame. The simplified form is used to prove that synchronization is an equivalence relation on the set of synchronized clocks. The shortcomings of EinCr are discussed, and it is point out that the knowledge of the distance of any event from a master observer, allows for forgoing with the clock at the event’s location, and consequently, dispensing with clocks in a coordinatized space, excluding of course the master clock. Einstein’s argument for relative simultaneity is proven to stand short of associating different times with different inertial frames as dictated by Lorentz transformations. The second type of scaling transformation in (TUST) which was presented in earlier works, associates with a synchronizing light trip one time to which there corresponds two distances in the moving and stationary frames. The duration of the light’s trip and its length in the moving frame are shown to be identical with relativistic predictions. The primitive concept of simultaneity by contiguity is introduced and explained briefly; its full disagreement with relativity theory will be highlighted in a future work. Ironically, Einstein’s arguments for relative simultaneity relied on the latter concept.

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