The role of MOND theory in cosmological paradigms under \(q\)-statistics

DOI10.1007/s10773-024-05801-wMaRDI QIDQ6651659

M. Senay

Publication date: 10 December 2024

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Modified Newtonian Dynamics\(q\)-deformed fermion

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Cites Work

• From the Komar mass and entropic force scenarios to the Einstein field equations on the AdS brane
• Nonhomogeneous cooling, entropic gravity and MOND theory
• On the origin of gravity and the laws of Newton
• Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics
• Possible generalization of Boltzmann-Gibbs statistics.
• Entropic gravity corrected by \(q\)-statistics, and its implications to cosmology
• A step beyond Tsallis and Rényi entropies
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Thermodynamic geometry, condensation and Debye model of two-parameter deformed statistics
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Thermodynamics of Spacetime: The Einstein Equation of State
• q-deformed Einstein equations from entropic force
• Friedmann equations for deformed entropic gravity
• Effects of bosonic and fermionic q-deformation on the entropic gravity
• Thermostatistic properties of aq-deformed ideal Fermi gas with a general energy spectrum
• Black Holes and Entropy
• Nonextensive Gross Pitaevskii Equation
• The other way around: from alternative gravity to entropy

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