{"title":"The Role of MOND Theory in Cosmological Paradigms Under q-Statistics","authors":"M. Senay","doi":"10.1007/s10773-024-05801-w","DOIUrl":null,"url":null,"abstract":"<div><p>This study is about the consequences of fermionic <i>q</i>-deformation on Friedmann equations and its effects on cosmology within the framework of Verlinde’s entropic gravity proposal. We begin by examining the thermodynamic properties of <i>q</i>-deformed fermion gas model in two-dimensional space. We then extend our research to derive modified Friedmann equations using the Friedmann-Robertson-Walker (FRW) metric to study cosmological dynamics using <i>q</i>-deformed MOND theory. The study describes the effective energy density, pressure, and equation of state of dark energy within this modified framework. Finally, by providing an analytical expression for the effective density parameter of dark energy, we provide valuable insights into the interaction between quantum deformation and cosmological events.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05801-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This study is about the consequences of fermionic q-deformation on Friedmann equations and its effects on cosmology within the framework of Verlinde’s entropic gravity proposal. We begin by examining the thermodynamic properties of q-deformed fermion gas model in two-dimensional space. We then extend our research to derive modified Friedmann equations using the Friedmann-Robertson-Walker (FRW) metric to study cosmological dynamics using q-deformed MOND theory. The study describes the effective energy density, pressure, and equation of state of dark energy within this modified framework. Finally, by providing an analytical expression for the effective density parameter of dark energy, we provide valuable insights into the interaction between quantum deformation and cosmological events.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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