Relativity of Space-Time Geometry

TL;DR

This paper argues that space-time geometry is relative to the frame of reference, with noninertial frames influencing the metric, and discusses implications for effects like Sagnac and inertial forces, proposing an experimental test.

Contribution

It introduces a perspective that space-time geometry depends on the properties of the reference frames, extending relativity concepts to noninertial frames.

Findings

Space-time metric in NIFR is frame-dependent.

Sagnac effect explained through frame properties.

Inertial forces linked to frame properties.

Abstract

We argue that space-time geometry is not absolute with respect to the frame of reference being used. The space-time metric differential form $ds$ in noninertial frames of reference (NIFR) is caused by the properties of the used frames in accordance with the Berkley - Leibnitz - Mach - Poincar\'{e} ideas about relativity of space and time . It is shown that the Sagnac effect and the existence of inertial forces in NIFR can be considered from this point of view. An experimental test is proposed.