A note on the foundations of mechanics
@article{AlonsoBlanco2014ANO, title={A note on the foundations of mechanics}, author={Ricardo J. Alonso-Blanco and Jes'us Munoz-D'iaz}, journal={arXiv: Mathematical Physics}, year={2014} }
This short note is intended to review the foundations of mechanics, trying to present them with the greatest mathematical and conceptual clarity. It was attempted to remove most of inessential, even parasitic issues, which can hide the true nature of basic principles. The pursuit of that goal results in an improved understanding of some topics such as constrained systems, the nature of time or the relativistic forces. The Sr\"odinger and Klein-Gordon equations appear as conditions fulfilled by…
5 Citations
On the foundation of Mechanics
- Mathematics
- 2014
This note is an extended version of "A note on the foundations of Mechanics", arXiv: 1404.1321 [math-ph]. A presentation of its contents was given in a talk in memorial homage to the professor Juan…
Classical and relativistic fluids as intermediate integrals of finite dimensional mechanical systems
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Flux-variational formulation of relativistic perfect fluids
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Redshift for massive particles
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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.
A note on the quantization of tensor fields and quantization of mechanical systems
- Mathematics
- 2018
In the present work we present a canonical method of quantization for contravariant tensor fields. Its natural application to quantizing classical mechanical systems is proved to coincide with that…
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