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On dimension of tetrads in effective gravity

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arxiv 2003.00915 v2 pith:OX7UFCDR submitted 2020-03-02 gr-qc cond-mat.otherhep-ph

On dimension of tetrads in effective gravity

classification gr-qc cond-mat.otherhep-ph
keywords constantdimensiondimensionlessgravitymetricscalarbosonicconventional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Two different sources of emergent gravity lead to the inverse square of length dimension of metric field, $[g_{\mu\nu}]=1/[l]^2$, as distinct from the conventional dimensionless metric, $[g_{\mu\nu}]=1$, for $c = 1$. In both scenarios all the physical quantities, which obey diffeomorphism invariance, such as the Newton constant, the scalar curvature, the cosmological constant, particle masses, fermionic and scalar bosonic fields, etc., are dimensionless.

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