2026-09-19T13:37:17.737804400Zhttps://opus.uleth.ca/server/oai/requestoai:opus.uleth.ca:10133/58212021-01-14T07:04:56Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository
supervisor
Das, Saurya
author
Todorinov, Vasil
author
University of Lethbridge. Faculty of Arts and Science
2021-01-13T15:39:56Z
2021-01-13T15:39:56Z
2020
https://hdl.handle.net/10133/5821
The 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
Dissertations, Academic
General relativity (Physics)
Heisenberg uncertainty principle
Quantum electrodynamics
Quantum gravity
Quantum theory
Relativistic quantum theory
Relativistic generalized uncertainty principle and its implications
Thesis
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
URL
http://localhost:4000/bitstreams/ca36aa44-8ed0-4aa3-91ab-30862252a270/download
File
MD5
65a42c342bf2e24956b0e1b9bdc47af3
868658
application/pdf
TODORINOV_VASIL_PHD_2020.pdf
URL
http://localhost:4000/bitstreams/687b5e9c-b825-40ec-8c88-7d766a1ae192/download
File
MD5
8e5226d7af8a07c14785287e388c7f52
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text/plain
TODORINOV_VASIL_PHD_2020.pdf.txt