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Horizon quantum fuzziness for non-singular black holes
Andrea Giugno1, Andrea Giusti1,2,3, Alexis Helou1
11Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 Munich, Germany.
Quantum gravity effects are studied in non-singular solutions using horizon quantum mechanics. A microscopic description of the horizon using gravitons resolves singularities without altering classical descriptions, making internal horizons negligible.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- General Relativity
Background:
- Investigating quantum gravitational effects in non-singular spacetimes.
- Utilizing the horizon quantum mechanics formalism.
- Addressing the challenge of central singularities in Einstein's field equations.
Purpose of the Study:
- To examine quantum gravitational effects within the interior of Hayward-like, non-singular solutions.
- To provide a microscopic description of the horizon using gravitons.
- To assess the impact of quantum resolution on classical descriptions and the emergence of internal horizons.
Main Methods:
- Applying the horizon quantum mechanics formalism.
- Modeling the horizon with a large number of soft, off-shell gravitons in a quantum state.
- Confining gravitons in a harmonic potential.
- Analyzing the probability of internal horizon appearance.
Main Results:
- Quantum resolution of singularities preserves the classical description from General Relativity.
- The appearance of an internal horizon is found to be negligible.
- Suppression of internal horizon probability is attributed to a large number of virtual gravitons.
Conclusions:
- Quantum gravity can resolve singularities in spacetimes like the Hayward solution without invalidating classical General Relativity.
- The proposed microscopic model effectively describes the horizon and its quantum properties.
- Internal horizons are unlikely to form in these non-singular quantum gravitational scenarios.
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