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Journals / Mugla Journal of Science and Technology / 2023 / Cilt: 9 Sayı: 1

BEHAVIOR OF q-DEFORMED QUANTUM PARTICLE STATISTICS ON THE HOLOGRAPHIC SCREEN

Mustafa ŞENAY
Pages
87–91
Publication Date
2023-06-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This equation shows a modified identification of the evolution of the universe that is compatible with both MOND theory and the holographic principle

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we propose an approach to investigate the relationship between MOND theory and the holographic principle by incorporating q-deformed theory.
📊
Key Findings & Data:We first present a brief overview of Verlinde's entropic gravity assumption, which suggests that gravity can be interpreted as an entropic force arising from the statistical mechanics of quantum fields.
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Conclusion & Impact:This equation shows a modified identification of the evolution of the universe that is compatible with both MOND theory and the holographic principle
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Entropic Gravity · MOND Theory · q-Deformed Fermion

Abstract

In this study, we propose an approach to investigate the relationship between MOND theory and the holographic principle by incorporating q-deformed theory. We first present a brief overview of Verlinde's entropic gravity assumption, which suggests that gravity can be interpreted as an entropic force arising from the statistical mechanics of quantum fields. Some thermo-statistical properties of q-deformed fermion gas model in two spatial dimensions are introduced. At the low-temperature limit, we derive the q-deformed thermal energy and analyze the impacts of fermionic q-deformation on MOND theory. Specifically, we consider the q-deformed Fermi-Dirac statistics of the bits on the holographic screen and examine MOND theory depending on q-deformed acceleration scale. Deformed Friedmann equation is studied by taking into account Friedmann–Robertson–Walker (FRW) universe. This equation shows a modified identification of the evolution of the universe that is compatible with both MOND theory and the holographic principle

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Cite This Article

ŞENAY, M. (2023). BEHAVIOR OF q-DEFORMED QUANTUM PARTICLE STATISTICS ON THE HOLOGRAPHIC SCREEN. Mugla Journal of Science and Technology, Cilt: 9 Sayı: 1, 87–91. https://ajindex.com/articles/950321

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