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Multi-time equations, classical and quantum.

Sören Petrat1, Roderich Tumulka2

  • 1Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstrasse 39, München 80333, Germany.

Proceedings. Mathematical, Physical, and Engineering Sciences
|April 9, 2014
PubMed
Summary
This summary is machine-generated.

Multi-time equations use multiple time variables for particle evolution, enhancing Lorentz invariance in theories. This study compares their roles in classical and quantum physics.

Keywords:
consistency of multi-time equationsmulti-time wave functionsrelativistic mechanics

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Area of Science:

  • Theoretical Physics
  • Mathematical Physics

Background:

  • Multi-time equations introduce multiple time variables, one for each particle.
  • These equations are explored for achieving manifest Lorentz invariance in physical theories.

Purpose of the Study:

  • To compare the status and significance of multi-time equations.
  • To analyze their role in both classical and quantum physics.

Main Methods:

  • Comparative analysis of multi-time equations.
  • Examination of theoretical frameworks in classical and quantum mechanics.

Main Results:

  • The study elucidates the distinct applications and implications of multi-time equations in classical versus quantum contexts.
  • Key differences in their theoretical underpinnings and practical utility are highlighted.

Conclusions:

  • Multi-time equations offer a framework for Lorentz-invariant theories, with varying significance across classical and quantum physics.
  • Further investigation into their foundational aspects and applications is warranted.