An Invariant Formulation of Special Relativity, or the "True Transformation Relativity," and its Comparison with Experiments

TL;DR

This paper presents an invariant formulation of special relativity called 'true transformations relativity,' emphasizing tensor quantities, and demonstrates its consistency with experiments over the traditional apparent transformations approach.

Contribution

It introduces the 'true transformations' invariant formulation of special relativity and compares its predictions with experiments, highlighting its consistency.

Findings

Experiments agree with 'TT relativity' predictions.

'TT relativity' uses true tensors for physical quantities.

'AT relativity' does not always align with experimental results.

Abstract

Different formulations of special relativity are theoretically discussed. First an invariant formulation, i.e., the ''true transformations (TT) relativity,'' is exposed. There a physical quantity is represented by a true tensor which comprises both components and a basis. Also the usual covariant formulation and the ''apparent transformations (AT) relativity'' are considered. It is shown that all the experiments are in agreement with the ''TT relativity'' but not always with the ''AT relativity.''