Preprint Article Version 1 This version is not peer-reviewed

Derivation of All Linear Transformations that Meet the Results of Michelson-Morley’s Experiment and Discussion of the Relativity Basics

Version 1 : Received: 3 August 2019 / Approved: 5 August 2019 / Online: 5 August 2019 (05:18:01 CEST)

How to cite: Szostek, R. Derivation of All Linear Transformations that Meet the Results of Michelson-Morley’s Experiment and Discussion of the Relativity Basics. Preprints 2019, 2019080048 (doi: 10.20944/preprints201908.0048.v1). Szostek, R. Derivation of All Linear Transformations that Meet the Results of Michelson-Morley’s Experiment and Discussion of the Relativity Basics. Preprints 2019, 2019080048 (doi: 10.20944/preprints201908.0048.v1).

Abstract

The article presents formal proof that the Special Theory of Relativity is wrong, that is, the interpretation of the mathematics on which STR is based, proposed by Einstein is incorrect. The article shows that there are infinitely many kinematics in which one-way speed of light is always equal to c. The kinematics of Special Theory of Relativity (STR) is only one of those infinitely many kinematics. It presents that mathematics on which STR kinematics is based can be interpreted differently and this leads to other conclusions on the properties of this kinematics. In this article, the whole class of linear transformations of time and coordinate was derived. Transformations were derived on the assumption that conclusions from Michelson-Morley’s and Kennedy-Thorndikea’s experiments are met for the observer from each inertial frame of reference, i.e. that the mean velocity of light in the vacuum flowing along the way back and forth is constant. It was also assumed that there is at least one inertial frame of reference, in which the velocity of light in a vacuum in each direction has the same value c, and the space is isotropic for observers from this distinguished inertial frame of reference (universal frame of reference). Derived transformations allow for building many different kinematics according to Michelson-Morley’s and Kennedy-Thorndikea’s experiments. The class of transformations derived in the study is a generalization of transformations derived in the paper [10], which consists in enabling non-zero values of parameter e(v). The idea of such a generalization derives from the person, who gave me this extended transformations class for analysis and publication.

Subject Areas

coordinate and time transformation; kinematics; universal frame of reference; one-way speed of light; anisotropy of cosmic microwave background

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