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dc.contributor.author Deb, Soumen
dc.contributor.author Das, Saurya
dc.contributor.author Vagenas, Elias C.
dc.date.accessioned 2019-04-23T18:44:30Z
dc.date.available 2019-04-23T18:44:30Z
dc.date.issued 2016
dc.identifier.citation Deb, S., Das, S., & Vagenas, E. C. (2016). Discreteness of space from GUP in a weak gravitational field. Physics Letters B, 755, 17-23. http://dx.doi.org/10.1016/j.physletb.2016.01.059 en_US
dc.identifier.uri https://hdl.handle.net/10133/5332
dc.description Sherpa Romeo green journal. Open access article. Creative Commons Attribution 4.0 International License (CC BY 4.0) applies. en_US
dc.description.abstract Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schrödinger equation, when applied to a non-relativistic particle in a one-dimensional box, led to the quantization of length. Similarly, corrections to the Klein–Gordon and the Dirac equations, gave rise to length, area and volume quantizations. These results suggest a fundamental granular structure of space. In this work, it is investigated how spacetime curvature and gravity might influence this discreteness of space. In particular, by adding a weak gravitational background field to the above three quantum equations, it is shown that quantization of lengths, areas and volumes continue to hold. However, it should be noted that the nature of this new quantization is quite complex and under proper limits, it reduces to cases without gravity. These results suggest that quantum gravity effects are universal. en_US
dc.language.iso en_US en_US
dc.publisher Elsevier en_US
dc.subject Gravitational field
dc.subject Spacetime curvature
dc.subject Generalized uncertainty principle
dc.subject Discreteness of space
dc.subject.lcsh Quantum gravity
dc.subject.lcsh Gravity
dc.title Discreteness of space from GUP in a weak gravitational field en_US
dc.type Article en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Physics & Astronomy en_US
dc.description.peer-review Yes en_US
dc.publisher.institution University of Lethbridge en_US
dc.publisher.institution Kuwait University en_US
dc.publisher.url https://doi.org/10.1016/j.physletb.2016.01.059


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