Discreteness of space from GUP in a weak gravitational field

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dc.contributor.authorDeb, Soumen
dc.contributor.authorDas, Saurya
dc.contributor.authorVagenas, Elias C.
dc.date.accessioned2019-04-23T18:44:30Z
dc.date.available2019-04-23T18:44:30Z
dc.date.issued2016
dc.descriptionSherpa Romeo green journal. Open access article. Creative Commons Attribution 4.0 International License (CC BY 4.0) applies.en_US
dc.description.abstractQuantum 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.description.peer-reviewYesen_US
dc.identifier.citationDeb, 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.2016.01.059en_US
dc.identifier.urihttps://hdl.handle.net/10133/5332
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.publisher.departmentDepartment of Physics & Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionKuwait Universityen_US
dc.publisher.urlhttps://doi.org/10.1016/j.physletb.2016.01.059
dc.subjectGravitational field
dc.subjectSpacetime curvature
dc.subjectGeneralized uncertainty principle
dc.subjectDiscreteness of space
dc.subject.lcshQuantum gravity
dc.subject.lcshGravity
dc.titleDiscreteness of space from GUP in a weak gravitational fielden_US
dc.typeArticleen_US
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