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We present a new action which reproduces the cosmological sector of general relativity in both the Friedmann-Lema\^{}tre-Robertson-Walker and Bianchi models. This action makes no reference to the scale factor and is of a frictional type first examined by Herglotz. We demonstrate that the extremization of this action reproduces the usual dynamics of physical observables, and the symplectification of this action is the Einstein-Hilbert action for cosmological models. We end by discussing some of the increased explanatory power produced by considering the reduced physical ontology resulting from eliminating scale.
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David Sloan (2021) studied this question.
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