The structure of time and inertial forces in Lagrangian mechanics
J. Mu\~noz D\'iaz
TL;DR
This paper explores the intrinsic mathematical structure of time in Lagrangian mechanics, providing a canonical explanation for fixing time during variations and offering a new approach to inertial forces.
Contribution
It unveils the mathematical structure of time in Lagrangian mechanics and introduces a general method for handling inertial forces.
Findings
Provides a canonical explanation for fixing time in variational problems
Unveils the intrinsic mathematical structure of time in Lagrangian mechanics
Offers a new method to deal with inertial forces
Abstract
Classically time is kept fixed for infinitesimal variations in problems in mechanics. Apparently, there appears to be no mathematical justification in the literature for this standard procedure. This can be explained canonically by unveiling the intrinsic mathematical structure of time in Lagrangian mechanics. Moreover, this structure also offers a general method to deal with inertial forces.
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Taxonomy
TopicsMechanics and Biomechanics Studies · Relativity and Gravitational Theory