Barrow entropy and spacetime foam
Abstract: Quantum gravitational effects, on the one hand, lead to a limitation in the accuracy of measuring spatial and time intervals, and, on the other hand, they generate a discrete of spacetime structure (quantum foam). The common source of both measurement limitations and discreteness of space-time are quantum fluctuations, so their characteristics must be related to each other. We study such a relationship using Barrow entropy as a source of fractal space-time structure. The minimum inaccuracy in measuring space-time intervals is expressed through the Barrow entropy parameter. The connection between the level of fractality and the speed of information processing is considered.
- P. P. Divakaran. Matter in discrete space-times. arXiv preprint arXiv:2404.04548, 2024.
- Sabine Hossenfelder. Minimal length scale scenarios for quantum gravity. Living Reviews in Relativity, 16(1), January 2013.
- Renate Loll. Discrete approaches to quantum gravity in four dimensions. Living Reviews in Relativity, 1(1), December 1998.
- Ruth M. Williams. The generalized uncertainty principle and black hole remnants. Journal of Physics: Conference Series, 33:38–48, 2006.
- Physics of limit values at planck scale. arXiv preprint arXiv:2005.03984.
- C. DeWitt and Bryce S. DeWitt. Relativity, Groups and Topology (Houches Lecture). Gordon and Breach Science Publishers, 1964.
- G. Veneziano. A stringy nature needs just two constants. Europhysics Letters, 2(3):199–204, 1986.
- Can space-time be probed below the string size? Phys. Lett. B, 216:41–47, 1989.
- E. Witten. Reflections on the fate of spacetime. Physics Today, 49(4):24–31, 1996.
- The generalized uncertainty principle and black hole remnants. General Relativity and Gravitation, 33(12):2101–2108, December 2001.
- F. Karolyhazy. Gravitation and quantum mechanics of macroscopic objects. Nuovo Cim. A, 42:390–402, 1966.
- G. ’t Hooft. Dimensional reduction in quantum gravity. arXiv preprint gr-qc/9310026, 2009.
- Leonard Susskind. The world as a hologram. Journal of Mathematical Physics, 36(11):6377–6396, November 1995.
- Y. Jack NG. Selected topics in planck-scale physics. Modern Physics Letters A, 18(16):1073–1097, May 2003.
- Limits on spacetime foam. Phys. Rev. D, 83:084003, Apr 2011.
- John D. Barrow. The area of a rough black hole. Physics Letters B, 808:135643, September 2020.
- Emmanuel N. Saridakis. Modified cosmology through spacetime thermodynamics and barrow horizon entropy. Journal of Cosmology and Astroparticle Physics, 2020(07):031–031, July 2020.
- Emmanuel N. Saridakis. Barrow holographic dark energy. Physical Review D, 102(12), December 2020.
- Dynamics of an interacting barrow holographic dark energy model and its thermodynamic implications. The European Physical Journal Plus, 136(1), January 2021.
- Barrow holographic dark energy in non-flat universe. arXiv preprint arXiv:2104.13118, 2021.
- The generalized second law of thermodynamics with barrow entropy. The European Physical Journal C, 81:1434–6052, 2021.
- Note on cosmographic approach to determining parameters of barrow entropic dark energy model. arXiv preprint arXiv:2402.1650, 2024.
- Cosmology based on entropy. arXiv preprint arXiv:2310.10144, 2024.
- Entropic cosmology in a dissipative universe. Phys. Rev. D, 90:123516, Dec 2014.
- Evolution of the universe in entropic cosmologies via different formulations. Physical Review D, 89(12), June 2014.
- Early and late universe holographic cosmology from a new generalized entropy. Physics Letters B, 831:137189, August 2022.
- Microscopic interpretation of generalized entropy. arXiv preprint arXiv:2311.03848, 2023.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.