Multifractional theories: an updated review
Gianluca Calcagni
TL;DR
This paper reviews the current state of multifractional theories, covering their theoretical foundations, applications in cosmology and quantum gravity, and addressing issues like unitarity, supported by comparative analysis.
Contribution
It provides an updated comprehensive review of multifractional theories, including their foundations, dynamics, cosmological implications, and experimental constraints.
Findings
Summarizes theoretical and experimental aspects of multifractional theories.
Clarifies unitarity issues in theories with integer derivatives.
Discusses applications to quantum gravity and cosmology.
Abstract
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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