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New Dynamical Degrees of Freedom from Invertible Transformations

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arxiv 2208.05951 v3 pith:DESMSU7B submitted 2022-08-11 gr-qc hep-th

classification gr-qchep-th
keywords dynamicaldegreesfreedominvertibletransformationscasesdynamicsnumber
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We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when the number of dynamical degrees of freedom remains unchanged, the resulting dynamics can be essentially different from the one of the system prior to transformation. After giving concrete examples in point particle cases, we discuss changes in dynamics due to invertible disformal transformations of the metric in gravitational theories

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Cited by 1 Pith paper

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  1. Disformal Maps: Classification and Singular Dynamics

    gr-qc 2026-08 conditional novelty 7.0 of 10

    Disformal transformations are classified by a Cayley-Hamilton degree and Hawking-Ellis type, and the mimetic energy-momentum tensor's type follows from a polynomial map of the original tensor.

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