Generalized uncertainty principles, effective Newton constant and the regular black hole

Journal Article · Sat Sep 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.07.021· OSTI ID:22848385

Xiang, Li ^[1]; Ling, Yi ^[2]; Shen, You-Gen ^[3]; Liu, Cheng-Zhou ^[4]; He, Hong-Sheng; Xu, Lan-Fang ^[1]

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1. Department of Physics, Jimei University, 361021, Xiamen, Fujian province (China)
2. Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing (China)
3. Shanghai Astronomical Observatory, Chinese Academy of Sciences, 200030, Shanghai (China)
4. Department of Physics, Shaoxing University, 312000, Shaoxing, Zhejiang province (China)

In this paper, the quantum spacetime with a running gravitational coupling is explored. Analyzing the gravity-induced quantum interference pattern and the Gedanken for weighting a photon, we find that the running Newton constant can be inspired by the generalized uncertainty principles. A characteristic momentum associated with the tidal effect is suggested, which incorporates the quantum effect with the geometric nature of gravity. When the simplest generalized uncertainty principle is considered, the minimal model of the regular black holes is reproduced by the effective Newton constant. The black hole’s tunneling probability, accurate to the second order correction, is carefully analyzed. We find that the tunneling probability is regularized by the size of the black hole remnant. Moreover, for a given initial black hole, the remnant is the final state of a transition process that the probability is minimal. We also suggest a theory of modified gravity, by substituting the effective Newton constant into the Hilbert–Einstein action.

• OSTI ID: 22848385
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 396; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
GRAVITATION
HILBERT SPACE
INTERFERENCE
PROBABILITY
SPACE-TIME
TUNNEL EFFECT
UNCERTAINTY PRINCIPLE