Dimension and dimensional reduction in quantum gravity
By Steven Carlip. Universe, 2017
168 citations recorded by the source corpus.
A number of very different approaches to quantum gravity contain a common thread, a hint that spacetime at very short distances becomes effectively two dimensional. I review this evidence, starting with a discussion of the physical meaning of ‘dimension’ and concluding with some speculative ideas of what dimensional reduction might mean for physics.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c61456c3e6f4b575edb373a5c4b1e4f63ef48e75
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- The nonperturbative functional renormalization group and its applications (2020, background): “A dimensional reduction is also familiar from some other quantum-gravity approaches, see [1241] for an overview.”
- The causal set approach to quantum gravity (2019, background): “5.4 Spectral dimensions An interesting direction in causal set theory has been to calculate the spectral dimension of the causal set (Eichhorn and Mizera 2014; Belenchia et al 2016c; Carlip 2017).”
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “It is unclear whether and how this fits with other indications for dimensional reduction in quantum gravity (Carlip, 2017).”
- Quantum gravity from causal dynamical triangulations: a review (2019, background): “However, plenty of evidence has been put forward in the meantime [12], supporting the conjecture that short-scale dimensional reduction is a general feature of quantum gravity, and not related to the existence or otherwise of a foliation.”