Relativistic generalized uncertainty principle and its implications

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dc.contributor.authorTodorinov, Vasil
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorDas, Saurya
dc.date.accessioned2021-01-13T15:39:56Z
dc.date.available2021-01-13T15:39:56Z
dc.date.issued2020
dc.degree.levelPh.Den_US
dc.description.abstractThe fundamental physical description of the Universe is based on two theories:Quantum Mechanics and General Relativity. Unified theory of Quantum Gravity (QG) is an open problem. Quantum Gravity Phenomenology (QGP) studies QG effects in low-energy systems. The basis of one such phenomenological model is the Generalized Uncertainty Principle (GUP), which is a modified Heisenberg uncertainty relation and predicts a deformed position-momentum commutator. Relativistic Generalized Uncertainty Principle (RGUP) is proposed in this thesis,which gives a Loerentz invariant minimum length and resolves the composition law problem. RGUP modified Klein–Gordon, Schrödinger and Dirac equations with QG corrections to several systems are presented. The Lagrangians of Quantum Electro-dynamics for the gauge, scalar, and spinor fields are obtained. The RGUP corrections to scattering amplitudes are then calculated. The results are applied to high energy scattering experiments providing much needed window for testing minimum length and QG theories in the laboratory.en_US
dc.description.sponsorshipThis work was supported by the Natural Sciences and Engineering Research Council of Canada, and University of Lethbridge. This research was additionally supported by Quantum Major Innovation Fund Project, funded by the Government of Alberta.en_US
dc.identifier.urihttps://hdl.handle.net/10133/5821
dc.language.isoen_USen_US
dc.proquest.subjectTheoretical physics [0753]en_US
dc.proquest.subjectParticle physics [0798]en_US
dc.proquest.subjectPhysics [0605]en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics & Astronomyen_US
dc.publisher.departmentDepartment of Physics & Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectDissertations, Academicen_US
dc.subjectGeneral relativity (Physics)en_US
dc.subjectHeisenberg uncertainty principleen_US
dc.subjectQuantum electrodynamicsen_US
dc.subjectQuantum gravityen_US
dc.subjectQuantum theoryen_US
dc.subjectRelativistic quantum theoryen_US
dc.titleRelativistic generalized uncertainty principle and its implicationsen_US
dc.typeThesisen_US
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