# 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

- Mathematics, Physics
- 2020

### Flux-variational formulation of relativistic perfect fluids

- PhysicsJournal of Geometry and Physics
- 2020

### Redshift for massive particles

- Physics
- 2018

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…

## References

SHOWING 1-3 OF 3 REFERENCES

### Relativistic forces in Lagangian mechanics

- Physics
- 2012

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…

### Klein-Gordon equation from Maxwell-Lorentz dynamics

- Mathematics, Physics
- 2012

We consider Maxwell-Lorentz dynamics: that is to say, Newton's law under the action of a Lorentz's force which obeys the Maxwell equations. A natural class of solutions are those given by the…

### The structure of time and inertial forces in Lagrangian mechanics

- Physics
- 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…