scholarly journals Effects of bosonic and fermionic q-deformation on the entropic gravity

2019 ◽  
Vol 34 (31) ◽  
pp. 1950249
Author(s):  
Salih Kibaroğlu ◽  
Mustafa Senay
Keyword(s):  
Black Holes ◽  
Poisson Equation ◽  
Entropic Force ◽  
Fundamental Interaction ◽  
Field Equations ◽  
The Poisson Equation ◽  
Entropic Gravity ◽  
Holographic Screen ◽  
Fermion Gas ◽  
Law Of Gravity

In this paper, we study thermodynamical contributions to the theory of gravity under the q-deformed boson and fermion gas models. According to Verlinde’s proposal, the law of gravity is not based on a fundamental interaction but it emerges as an entropic force from the changes of entropy associated with the information on the holographic screen. In addition, Strominger shows that the extremal quantum black holes obey neither boson nor fermion statistics, but they obey deformed statistic. Using these notions, we find q-deformed entropy and temperature functions. We also present the contributions that come from the q-deformed model to the Poisson equation, Newton’s law of gravity and Einstein’s field equations.

scholarly journals q-deformed Einstein equations from entropic force

2018 ◽  
Vol 33 (36) ◽  
pp. 1850218 ◽  
Author(s):  
Mustafa Senay ◽  
Salih Kibaroğlu
Keyword(s):  
Black Holes ◽  
Temperature Limit ◽  
Einstein Equations ◽  
Entropic Force ◽  
High Temperature Limit ◽  
Fermi Statistics ◽  
Entropic Gravity ◽  
Effective Cosmological Constant ◽  
Fermion Gas ◽  
Extremal Black Holes

In this study, we investigate the influences of fermionic q-deformation on the Einstein equations by taking into account of Verlinde’s entropic gravity approach and Strominger’s proposal on quantum black holes. According to Verlinde’s proposal, gravity is interpreted as an entropic force. Moreover, Strominger’s suggestion claims that extremal black holes obey deformed statistics instead of the standard Bose or Fermi statistics. Inspired by Verlinde’s and Strominger’s suggestions, we represent some thermostatistical functions of VPJC-type q-deformed fermion gas model for the high-temperature limit. Applying the Verlinde’s entropic gravity approach to the q-deformed entropy function, q-deformed Einstein equations with the effective cosmological constant are derived. The results obtained in this work are compared with the related works in the literature.

Can quantum black holes be (q, p)-fermions?

2017 ◽  
Vol 32 (15) ◽  
pp. 1750080 ◽  
Author(s):  
Emre Dil
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Fermi Gas ◽  
Einstein Equations ◽  
Quantum Corrections ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Entropic Gravity ◽  
Two Parameter

In this study, to investigate the very nature of quantum black holes, we try to relate three independent studies: (q, p)-deformed Fermi gas model, Verlinde’s entropic gravity proposal and Strominger’s quantum black holes obeying the deformed statistics. After summarizing Strominger’s extremal quantum black holes, we represent the thermostatistics of (q, p)-fermions to reach the deformed entropy of the (q, p)-deformed Fermi gas model. Since Strominger’s proposal claims that the quantum black holes obey deformed statistics, this motivates us to describe the statistics of quantum black holes with the (q, p)-deformed fermions. We then apply the Verlinde’s entropic gravity proposal to the entropy of the (q, p)-deformed Fermi gas model which gives the two-parameter deformed Einstein equations describing the gravitational field equations of the extremal quantum black holes obeying the deformed statistics. We finally relate the obtained results with the recent study on other modification of Einstein equations obtained from entropic quantum corrections in the literature.

scholarly journals DOES ENTROPIC GRAVITY BOUND THE MASSES OF THE PHOTON AND GRAVITON?

2011 ◽  
Vol 26 (03) ◽  
pp. 171-181 ◽  
Author(s):  
J. R. MUREIKA ◽  
R. B. MANN
Keyword(s):  
Black Holes ◽  
Test Particle ◽  
Information Transfer ◽  
Local Symmetry ◽  
Speed Of Light ◽  
M 10 ◽  
Entropic Gravity ◽  
Holographic Screen ◽  
The Masses ◽  
The Universe

If the information transfer between test particle and holographic screen in entropic gravity respects both the uncertainty principle and causality, a lower limit on the number of bits in the universe relative to its mass may be derived. Furthermore, these limits indicate particles that putatively travel at the speed of light — the photon and/or graviton — have a nonzero mass m ≥10-68 kg . This result is found to be in excellent agreement with current experimental mass bounds on the graviton and photon, suggesting that entropic gravity may be the result of a (recent) softly-broken local symmetry. Stronger bounds emerge from consideration of ultradense matter such as neutron stars, yielding limits of m ≥10-48–10-50 kg , barely within the experimental photon range and outside that of the graviton. We find that for black holes these criteria cannot be satisfied, and suggest some possible implications of this result.

q-Deformed Einstein equations

2015 ◽  
Vol 93 (11) ◽  
pp. 1274-1278 ◽  
Author(s):  
Emre Dil
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Einstein Equations ◽  
Entropic Force ◽  
Fermi Statistics ◽  
Entropic Gravity

In this study, we consider three independent physical studies and try to combine them to find an interesting result. Ubriaco’s q-deformed bosons and Verlinde’s entropic gravity studies are taken into account to find the deformed Einstein equations for describing the gravitational field of deformed objects, such as, Strominger’s black holes obeying the deformed Bose or Fermi statistics. We consider the gravitation as an entropic force, as in Verlinde’s approach and assume the source of gravitation is the q-deformed bosons of Ubriaco. Consequently, we obtain the deformed Einstein equations for these deformed bosons by considering the gravitation as an entropic force.

scholarly journals Generalized entropic gravity from modified Unruh temperature

2019 ◽  
Vol 34 (22) ◽  
pp. 1950119 ◽  
Author(s):  
Salih Kibaroğlu
Keyword(s):  
Conservation Law ◽  
Energy Momentum Tensor ◽  
Generalized Uncertainty Principle ◽  
Limited Range ◽  
Momentum Tensor ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Entropic Gravity ◽  
Modified Equations ◽  
Law Of Gravity

In this study, the effects of the generalized uncertainty principle on the theory of gravity are analyzed. Inspired by Verlinde’s entropic gravity approach and using the modified Unruh temperature, the generalized Einstein field equations with cosmological constant are obtained and corresponding conservation law is investigated. The resulting conservation law of energy–momentum tensor dictates that the generalized Einstein field equations are valid in a very limited range of accelerations. Moreover, the modified Newton’s law of gravity and the modified Poisson equation are derived. In a certain limit, these modified equations reduce to their standard forms.

scholarly journals SURFACE GRAVITY AND HAWKING TEMPERATURE FROM ENTROPIC FORCE VIEWPOINT

2010 ◽  
Vol 25 (33) ◽  
pp. 2825-2830 ◽  
Author(s):  
CHANG-YOUNG EE ◽  
MYUNGSEOK EUNE ◽  
KYOUNGTAE KIMM ◽  
DAEHO LEE
Keyword(s):  
Black Holes ◽  
Event Horizon ◽  
Hawking Temperature ◽  
Surface Gravity ◽  
Entropic Force ◽  
Holographic Screen

We consider a freely falling holographic screen for the Schwarzschild and Reissner–Nordström black holes and evaluate the entropic force à la Verlinde. When the screen crosses the event horizon, the temperature of the screen agrees to the Hawking temperature and the entropic force gives rise to the surface gravity for both of the black holes.

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