Harmonic mean, the Gamma factor and Speed of Light

TL;DR

This paper explores the connection between the harmonic mean, the gamma factor, and the speed of light, proposing a correction under Newtonian mechanics that leads to Lorentz transformations and relativistic effects.

Contribution

It introduces a novel perspective linking harmonic mean calculations to special relativity, deriving Lorentz transformations from classical mechanics with a specific correction.

Findings

Harmonic mean relates to the speed of light in a moving frame.

A correction based on harmonic mean leads to Lorentz transformations.

The gamma factor's interpretation is altered by symmetry considerations.

Abstract

The relationship between the harmonic mean and special relativity is concisely elucidated. The arguments in favor and against SRT are explored. It is shown that the ratio of the speed of light to the harmonic mean of the onward and return speeds of light in a moving frame under Newtonian mechanics, when equitably distributed between space and time as a correction, leads to the Lorentz transformation. This correction implies an apparent contraction of objects and time dilation. However, the symmetry of the onward and inverse transformations give a different meaning to the gamma factor