Quantum gravitational effects on statistical mechanics

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dc.contributor.authorLopez Vega, Juan Manuel
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorBosso, Pasquale
dc.date.accessioned2022-09-22T16:25:35Z
dc.date.available2022-09-22T16:25:35Z
dc.date.issued2022
dc.degree.levelMastersen_US
dc.description.abstractNowadays, the development of a consistent theory of quantum gravity (QG) continues to be one of the biggest challenges in physics, which has resulted in a number of potential candidates that have not been tested yet. However, phenomenology has joined this task in search of manifestations of the quantum effects of space-time. In particular, the generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position, making room for a minimal length, as predicted by candidate theories of QG. Inspired by the GUP, we derive Planck's distribution by considering a new quantization of the electromagnetic field. We elaborate on the thermodynamics of the blackbody resulting from Wien's law and the Stefan-Boltzmann law. We demonstrate that such thermodynamic laws are modified by the presence of a minimal length. Furthermore, we consider a momentum scale in classical statistical mechanics to see its potential effects in the construction of the microcanonical ensemble.en_US
dc.identifier.urihttps://hdl.handle.net/10133/6334
dc.language.isoen_USen_US
dc.proquest.subject0753en_US
dc.proquest.subject0463en_US
dc.proquest.subject0798en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astonomyen_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.subjectquantum gravity phenomenologyen_US
dc.subjectGUPen_US
dc.subjectblack body radiationen_US
dc.subjectstatistical ensembleen_US
dc.subjectQuantum gravityen_US
dc.subjectBlackbody radiationen_US
dc.subjectStatistical mechanicsen_US
dc.subjectPhenomenology theory (Physics)en_US
dc.subjectDissertations, Academicen_US
dc.titleQuantum gravitational effects on statistical mechanicsen_US
dc.typeThesisen_US
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