{"id":{"repo_id":"lethbridge","oai_identifier":"oai:opus.uleth.ca:10133/6334"},"canonical_url":"https://search.dev.ndltd.org/etd/lethbridge/oai:opus.uleth.ca:10133/6334","repository":{"repo_id":"lethbridge","name":"University of Lethbridge","base_url":"https://opus.uleth.ca/server/oai/request"},"display":{"title":"Quantum gravitational effects on statistical mechanics","abstract":"Nowadays, 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.","abstract_html":"Nowadays, 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.","abstract_has_math":false,"creators":["Lopez Vega, Juan Manuel","University of Lethbridge. Faculty of Arts and Science"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022","date_published":"2022","updated_at":"2026-07-27T20:02:14Z","subjects":["quantum gravity phenomenology","GUP","black body radiation","statistical ensemble","Quantum gravity","Blackbody radiation","Statistical mechanics","Phenomenology theory (Physics)","Dissertations, Academic"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/6334"],"render_values":[{"text":"hdl:10133/6334","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2022"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["quantum gravity phenomenology","GUP","black body radiation","statistical ensemble","Quantum gravity","Blackbody radiation","Statistical mechanics","Phenomenology theory (Physics)","Dissertations, Academic"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/6334"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["Nowadays, 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."]},{"key":"dc:title","label":"Title","values":["Quantum gravitational effects on statistical mechanics"]}]}],"canonical_facts":{"dc:date.issued":["2022"],"dc:description.other":["Nowadays, 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."],"dc:identifier":["hdl:10133/6334"],"dc:subject":["quantum gravity phenomenology","GUP","black body radiation","statistical ensemble","Quantum gravity","Blackbody radiation","Statistical mechanics","Phenomenology theory (Physics)","Dissertations, Academic"],"dc:title":["Quantum gravitational effects on statistical mechanics"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T20:02:14Z"}