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From Einstein Theories to Least Action Principle, a Relativistic Error of a Limit Case of Classical Mechanics: Matching With Measurements of Light Propagation

From Einstein Theories to Least Action Principle, a Relativistic Error of a Limit Case of Classical Mechanics: Matching With Measurements of Light Propagation
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Author(s): Alessandro Massaro (Dyrecta Lab s.r.l., Italy)
Copyright: 2019
Pages: 25
Source title: Strategic Applications of Measurement Technologies and Instrumentation
Source Author(s)/Editor(s): Soubantika Palchoudhury (University of Tennessee at Chattanooga, USA)
DOI: 10.4018/978-1-5225-5406-6.ch002

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Abstract

The authors prove that the standard least action principle implies a more general form of the same principle by which they can state generalized motion equation including the classical Euler equation as a particular case. This form is based on an observation regarding the last action principle about the limit case in the classical approach using symmetry violations. Furthermore, the well-known first integrals of the classical Euler equations become only approximate first integrals. The authors also prove a generalization of the fundamental lemma of the calculus of variation and they consider the application in electromagnetism. This chapter is an enhanced version of a published work. It proves the existence of particular relativistic error condition in classical mechanics, potentially significant on experiments of light propagation in matters. The work includes a discussion of applications potentially correlated with the found particle motion error condition.

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