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The structure of time and inertial forces in Lagrangian mechanics

Mathematical Physics 2008-01-29 v1 Differential Geometry math.MP

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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Cite

@article{arxiv.0801.4151,
  title  = {The structure of time and inertial forces in Lagrangian mechanics},
  author = {J. Muñoz Díaz},
  journal= {arXiv preprint arXiv:0801.4151},
  year   = {2008}
}

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35 pages