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Dimensionless physics: continuation

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arxiv 2207.05754 v4 pith:YFARTS2S submitted 2022-07-12 gr-qc cond-mat.otherhep-ph

Dimensionless physics: continuation

classification gr-qc cond-mat.otherhep-ph
keywords dimensiondimensionlessmetricphysicsgravityacousticapproachesbilinear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Several approaches to quantum gravity (including the model of superplastic vacuum; Diakonov tetrads emerging as the bilinear combinations of the fermionis fields; $BF$-theories of gravity; and effective acoustic metric) suggest that in general relativity the metric must have dimension 2, i.e. $[g_{\mu\nu}]=1/[L]^2$, irrespective of the dimension of spacetime. This leads to the "dimensionless physics" discussed in the review paper G.E. Volovik, Dimensionless physics, JETP 132, 727 (2021). Here we continue to exploit this unusual dimension of the metric.

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