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J.D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
S.W. Hawking, “Particle creation by black holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
W.G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14
1976
Earlier work this paper cites.
C. Tsallis, “Possible generalization of Boltzmann–Gibbs statistics,” J. Statist. Phys. 52
1988
Earlier work this paper cites.
S.W. Hawking, “Quantum black holes” and “Quantum cosmology” in: S.W. Hawking and R. Penrose, The Nature of Space and Time
1996
Earlier work this paper cites.
C. Tsallis, “Nonextensive statistics: Theoretical, experimental and computational evidences and connections,” Braz. J. Phys. 29
1999
Earlier work this paper cites.

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2011

Klinkhamer, F. R.

A previous calculation of Newton's gravitational coupling constant G is generalized.

This generalization makes it possible to have "atoms of two-dimensional space" with an integer dimension d_{atom} of the internal space, where the case d_{atom}=1 is excluded.
Given the quantum of area l^2, the final formula for G is inversely proportional to the logarithm of the integer d_{atom}.
The generalization used may be interpreted as a modification of the energy equipartition law of the microscopic degrees of freedom responsible for gravity, suggesting some form of long-range interaction between these degrees of freedom themselves.

J.D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
S.W. Hawking, “Particle creation by black holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
W.G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14
1976
Earlier work this paper cites.
C. Tsallis, “Possible generalization of Boltzmann–Gibbs statistics,” J. Statist. Phys. 52
1988
Earlier work this paper cites.
S.W. Hawking, “Quantum black holes” and “Quantum cosmology” in: S.W. Hawking and R. Penrose, The Nature of Space and Time
1996
Earlier work this paper cites.
C. Tsallis, “Nonextensive statistics: Theoretical, experimental and computational evidences and connections,” Braz. J. Phys. 29
1999
Earlier work this paper cites.

A.R. Plastino and J.A.S. Lima, “Equipartition and virial theorems within generalized thermostatistical formalisms,” Phys. Lett. A 260
1999
Cited alongside, same era.
G. ’t Hooft, “The holographic principle: Opening lecture,” in: A. Zichichi (ed.), Basics and Highlights in Fundamental Physics , (World Scientific, Singapore, 2001), arXiv:hep-th/0003004v2
2001
Cited alongside, same era.
F.R. Klinkhamer, “Fundamental length scale of quantum spacetime foam,” JETP Lett. 86
2007
Cited alongside, same era.
P.J. Mohr, B.N. Taylor, and D.B. Newell, “CODATA recommended values of the fundamental physical constants: 2006,” Rev. Mod. Phys. 80
Original
2008
Cited alongside, same era.
T. Padmanabhan, “Equipartition of energy in the horizon degrees of freedom and the emergence of gravity,” Mod. Phys. Lett. A 25
Original

alphaXiv searches the wider corpus for related work and actual follow-ups.

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2010

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2094

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