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Equivariance, Variational Principles, and the Feynman Integral

We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's inte...

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Bibliographic Details
Published in:arXiv.org 2008-03
Main Author: Svetlichny, George
Format: Article
Language:English
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Online Access:Get full text
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Summary:We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral.
ISSN:2331-8422
DOI:10.48550/arxiv.0711.4550