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New Dynamical Degrees of Freedom from Invertible Transformations
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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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Disformal Maps: Classification and Singular Dynamics
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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