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Klein's "Erlanger Programm": do traces of it exist in physical theories?

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arxiv 1510.08319 v1 pith:52DZC3QE submitted 2015-10-28 physics.hist-ph

Hubert Goenner This is my paper · ORCID
classification physics.hist-ph
keywords kleinphysicaltheoriesalgebrasalgebroidsconcludedconnectionscontext
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A possible influence of Klein's Erlangen program on physical theories is investigated. While some connections are found, it is concluded that Lie's theory of transformation groups and Lie algebras have had a much larger impact. In this context, an extension to tangential Lie algebroids is discussed.

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  1. How many degrees of freedom describe a quantum N-particle state?

    quant-ph 2026-07 conditional novelty 7.0 of 10

    For closed quantum N-particle systems all 3N canonical degrees of freedom are physical; the frame degrees of freedom that relational models discard reappear as non-Heisenberg terms in generalised uncertainty relations...

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