Quantum gravity phenomenology and black hole physics

Various candidates of quantum gravity such as string theory, loop quantum gravity and black hole physics all predict the existence of a minimum observable length which modifies the Heisenberg uncertainty principle to the so-called generalized uncertainty principle (GUP). This approach results from the modification of the commutation relations and changes all Hamiltonians in quantum mechanics. In this paper, we present a class of physically acceptable solutions for a general commutation relation without directly solving the corresponding generalized Schrödinger equations. These solutions satisfy the boundary conditions and exhibit the effect of the deformed algebra on the energy spectrum. We show that this procedure prevents us from doing equivalent but lengthy calculations.

Download Full-text

GUP-corrected thermodynamics of accelerating and rotating black holes

International Journal of Modern Physics D ◽

10.1142/s0218271817410188 ◽

2017 ◽

Vol 26 (05) ◽

pp. 1741018 ◽

Cited By ~ 5

Author(s):

Muhammad Rizwan ◽

K. Saifullah

Keyword(s):

Black Holes ◽

Black Hole ◽

Quantum Gravity ◽

Black Hole Physics ◽

Generalized Uncertainty Principle ◽

Hawking Temperature ◽

Rotating Black Holes ◽

Gravity Effects ◽

Klein Gordon ◽

Black Hole Remnant

When quantum gravity effects, that are based on generalized uncertainty principle with a minimal measurable length, are incorporated into black hole physics the Klein–Gordon and Dirac equations get modified. Using these modified equations we investigate tunneling of scalar particles and fermions from event and acceleration horizons of accelerating and rotating black holes and obtain the modified Hawking temperature with quantum gravity effects. We see that Hawking temperature depends on black hole parameters as well as the quantum numbers of emitted fermions. The quantum corrections slow down black hole evaporation and leave a black hole remnant. This contradicts complete evaporation of a black hole which is presaged by the standard temperature formula for black holes. The modified Hawking temperatures presented here, in appropriate limits, are consistent with the previous results in the literature.

Download Full-text

Quantum gravity influences the black hole physics

Physics Letters B ◽

10.1016/s0370-2693(02)01932-9 ◽

2002 ◽

Vol 537 (3-4) ◽

pp. 306-310 ◽

Cited By ~ 8

Author(s):

Xiang Li

Keyword(s):

Black Hole ◽

Quantum Gravity ◽

Black Hole Physics

Download Full-text

Effects of quantum gravity on black holes

International Journal of Modern Physics A ◽

10.1142/s0217751x14300543 ◽

2014 ◽

Vol 29 (26) ◽

pp. 1430054 ◽

Cited By ~ 52

Author(s):

Deyou Chen ◽

Houwen Wu ◽

Haitang Yang ◽

Shuzheng Yang

Keyword(s):

Black Hole ◽

Quantum Gravity ◽

Black Hole Physics ◽

Tunneling Radiation ◽

Scalar Particles ◽

Quantum Numbers ◽

Tunneling Method ◽

Modified Equations ◽

Gravity Effects ◽

Klein Gordon

In this review, we discuss the effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein–Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related to the quantum numbers of the emitted particles. Quantum gravity corrections slow down the increase of the temperatures. The remnants are observed as [Formula: see text]. The mass is quantized by the modified Wheeler–DeWitt equation and is proportional to n in quantum gravity regime. The thermodynamical property of the black hole is studied by the influence of quantum gravity effects.

Download Full-text

From the black hole conundrum to the structure of quantum gravity

Modern Physics Letters A ◽

10.1142/s021773232130007x ◽

2021 ◽

pp. 2130007

Author(s):

Yasunori Nomura

Keyword(s):

Black Hole ◽

Quantum Mechanics ◽

Quantum Gravity ◽

Quantum System ◽

Path Integral ◽

Recent Progress ◽

Black Hole Physics ◽

Interior Volume

We portray the structure of quantum gravity emerging from recent progress in understanding the quantum mechanics of an evaporating black hole. Quantum gravity admits two different descriptions, based on Euclidean gravitational path integral and a unitarily evolving holographic quantum system, which appear to present vastly different pictures under the existence of a black hole. Nevertheless, these two descriptions are physically equivalent. Various issues of black hole physics — including the existence of the interior, unitarity of the evolution, the puzzle of too large interior volume, and the ensemble nature seen in certain calculations — are addressed very differently in the two descriptions, still leading to the same physical conclusions. The perspective of quantum gravity developed here is expected to have broader implications beyond black hole physics, especially for the cosmology of the eternally inflating multiverse.

Download Full-text

ON THE DYNAMICS OF SPHERICALLY SYMMETRIC SYSTEMS IN QUANTUM GRAVITY

International Journal of Modern Physics A ◽

10.1142/s0217751x91000563 ◽

1991 ◽

Vol 06 (06) ◽

pp. 1017-1029 ◽

Cited By ~ 5

Author(s):

C.O. LOUSTO ◽

F.D. MAZZITELLI

Keyword(s):

Black Hole ◽

Quantum Gravity ◽

Spherical Symmetry ◽

Degrees Of Freedom ◽

Black Hole Physics ◽

Separation Of Variables ◽

Spherically Symmetric ◽

Symmetric Systems

Within the formalism of quantum gravity, we consider a general metric with spherical symmetry and study under which circumstances it is possible to consistently reduce the number of degrees of freedom of the theory. In the case of separation of variables, we show that only the Kantowski-Sachs and Robertson-Walker geometries are consistent minisuperspaces. We analyze some minisuperspaces adequate for the study of the black hole physics, but we find that they are either trivial or inconsistent.

Download Full-text

Quantum channels in quantum gravity

International Journal of Modern Physics D ◽

10.1142/s0218271814420097 ◽

2014 ◽

Vol 23 (12) ◽

pp. 1442009 ◽

Cited By ~ 1

Author(s):

Mukund Rangamani ◽

Massimilliano Rota

Keyword(s):

Field Theory ◽

Black Hole ◽

Quantum Gravity ◽

Path Integrals ◽

Quantum Channels ◽

Hole Formation ◽

Integral Formalism ◽

Final State ◽

State Boundary ◽

Gauge Gravity

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger–Keldysh like thermo-field double construction in the dual field theory. This allows us to realize the gravitational quantum channels for information retrieval to specific deformations of the field theory path integrals and opens up new connections between geometry and information theory.

Download Full-text