Discreteness of space from GUP II: relativistic wave equations

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dc.contributor.authorDas, Saurya
dc.contributor.authorVagenas, Elias C.
dc.contributor.authorAli, Ahmed Farag
dc.date.accessioned2015-12-22T19:59:36Z
dc.date.available2015-12-22T19:59:36Z
dc.date.issued2015-12-22
dc.descriptionSherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.en_US
dc.description.abstractVarious theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Prin- ciple near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). In some recent papers, we showed that the GUP gives rise to corrections to the Schrdinger equation, which in turn affect all quantum mechanical Hamiltonians. In particular, by applying it to a particle in a one- dimensional box, we showed that the box length must be quantized in terms of a fundamental length (which could be the Planck length), which we interpreted as a signal of fundamental discreteness of space itself. In this Letter, we extend the above results to a relativistic particle in a rectangular as well as a spherical box, by solving the GUP-corrected KleinGordon and Dirac equations, and for the latter, to two and three dimensions. We again arrive at quantization of box length, area and volume and an indication of the fundamentally grainy nature of space. We discuss possible implications.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationDas, S., Vagenas, E. C., & Ali, A. F. (2010). Discreteness of space from GUP II: Relativistic wave equations. Physics Letters B, 690(4), 407-412. doi: 10.1016/j.physletb.2010.05.052
dc.identifier.urihttps://hdl.handle.net/10133/3847
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionAcademy of Athensen_US
dc.subjectKlein-Gordon equationen_US
dc.subjectDirac equationen_US
dc.subjectGUP-correcteden_US
dc.subjectGeneralized uncertainty principleen_US
dc.titleDiscreteness of space from GUP II: relativistic wave equationsen_US
dc.typeArticleen_US
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