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Multifractional theories: an updated review

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arxiv 2103.06557 v2 pith:YFK7SW6D submitted 2021-03-11 hep-th gr-qc

classification hep-thgr-qc
keywords multifractionaltheoriesgravityapplicationclarifyclassicalcomparativeconstraints
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The status of multifractional theories is reviewed using comparative tables. Theoretical foundations, classical matter and gravity dynamics, cosmology and experimental constraints are summarized and the application of the multifractional paradigm to quantum gravity is discussed. We also clarify the issue of unitarity in theories with integer-order derivatives.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hawking area law in quantum gravity

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    If Hawking's area law is taken as exact, nonlocal and Stelle quantum-gravity theories are forced to drop R^2 and (Riemann)^2 terms (or use singular Ricci-flat black holes), and the standard entropy-area law follows as...

  2. Fractional Einstein field equations in $2+1$ dimensional spacetime

    gr-qc 2025-05 conditional novelty 5.0 of 10

    A weighted Riemann-Liouville fractional derivative is introduced; near the classical limit, the fractional Einstein equations with the BTZ metric reproduce a charged BTZ solution with an anisotropic cosmological constant.

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