The structure of time and inertial forces in Lagrangian mechanics

2008/01/27 by J.M. Fernández Díaz, J. Muñoz Díaz, Díaz, J. Muñoz · 1 citation
Engineering · Mathematics · Physics and Astronomy · #37J05 #37J60 #70A05 #70F20 #70F25 #70H03 #70H45 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanics and Biomechanics Studies #Relativity and Gravitational Theory #math-ph #math.DG #math.MP #msc:37J05 #msc:37J60 #msc:70A05 #msc:70F20 #msc:70F25 #msc:70H03 #msc:70H45

paper · pdf · doi:10.48550/arxiv.0801.4151

35 pages

arxiv created 2008/01/27 · openalex publication_date 2008/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Relativistic forces in Lagangian mechanics

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