# The structure of time and inertial forces in Lagrangian mechanics

@article{Diaz2008TheSO, title={The structure of time and inertial forces in Lagrangian mechanics}, author={J. Munoz D'iaz}, journal={arXiv: Mathematical Physics}, year={2008} }

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.

## 13 Citations

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We give a general definition of \emph{relativistic force} in the context of Lagrangian mechanics. Once this is done we prove that the only relativistic forces which are linear on the velocities are…

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On each FRW metric, there exist a redshift for massive particles, analogous to that of photons, but depending on the mass. This is a simple consequence of the fundamental laws of Classical Mechanics.

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