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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

Gianluca Calcagni This is my paper
classification hep-thgr-qc
keywords multifractionaltheoriesgravityapplicationclarifyclassicalcomparativeconstraints
verification ladder T0 review T1 audit T2 compute T3 formal
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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 5 Pith papers

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

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    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

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    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...

  5. Fractional-Dimension Gravity and the Milky Way Galaxy

    astro-ph.GA 2026-07 unverdicted novelty 3.0 of 10

    Fractional-Dimension Gravity reproduces Milky Way rotation curves via a variable dimension D(R) fitted to Gaia data without dark matter.

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