On the foundation of Mechanics
Ricardo J. Alonso-Blanco, Jes\'us Mu\~noz-D\'iaz
TL;DR
This paper provides a systematic foundational overview of classical mechanics, covering topics from conservative systems to quantum mechanics, aiming to clarify fundamental principles and their interrelations.
Contribution
It offers a comprehensive, structured foundation of classical mechanics, integrating concepts like time, relativistic forces, electromagnetic fields, and quantum mechanics in a unified framework.
Findings
Clarifies the role of time in mechanics
Integrates relativistic and electromagnetic concepts
Connects classical and quantum mechanics foundations
Abstract
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 B. Sancho Guimer\'a. For this reason, it was written in spanish language. The matter of the note is a systematic foundation of the most classical part of Mechanics. The content by sections is: 0) Notions and basic results, 1) Conservative systems 2) Time. Time constraints, 3) Proper time. Relativistic forces, 4) Electromagnetic fields, 5) On the Hamilton-Noether Principle, 6) Schr\"odinger equation.
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Taxonomy
TopicsComputational Physics and Python Applications · Relativity and Gravitational Theory · Experimental and Theoretical Physics Studies