A covering theory of special relativity

TL;DR

This paper proposes a covering theory of special relativity based on the invariance of closed-path light velocity, deriving generalized transformations and challenging the universality of simultaneity.

Contribution

It introduces a new framework assuming closed-path light velocity invariance, deriving generalized Lorentz transformations, and questioning the universality of simultaneity.

Findings

Derived the general expression of light velocity in inertial frames.

Established generalized Lorentz transformations with a privileged frame.

Argued that simultaneity is not a universal concept.

Abstract

Under the assumption of closed-path velocity of light invariant, we show both the general expression of velocity of light in an ordinary inertial reference frame and the generalized Lorentz transformation between the ordinary inertial reference frame and the absolute (privileged) reference frame. Although such assumption can not determine theory ambiguously, some significant results can still be obtained by the assumption. Furthermore, the study shows that the relativity of simultaneity is not a universal concept.