How Information Crosses Schwarzschild's Central Singularity

Abstract

We study the natural extension of spacetime across Schwarzschild's central singularity and the behavior of the geodesics crossing it. Locality implies that this extension is independent from the future fate of black holes. We argue that this extension is the natural $\hslash \to 0$ limit of the effective quantum geometry inside a black hole, and show that the central region contains causal diamonds with area satisfying Bousso's bound for an entropy that can be as large as Hawking's radiation entropy. This result sheds light on the possibility that Hawking radiation is purified by information crossing the internal singularity.

11 pages, 8 figures; v2 fixed typos and added one reference

References in corpus (16)

• Black hole evaporation: A paradigm
• Quantum Extension of the Kruskal Space-time
• An Over-Massive Black Hole in the Compact Lenticular Galaxy NGC1277
• The use of Generalised Functions and Distributions in General Relativity
• Black holes in loop quantum gravity: the complete space-time
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• How big is a black hole?
• Fast Radio Bursts and White Hole Signals
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Information Recovery From Black Holes
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Black hole evaporation without an event horizon
• Wave functions for the Schwarschild black hole interior
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Characteristic Time Scales for the Geometry Transition of a Black Hole to a White Hole from Spinfoams

Cited by in corpus (25)

• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• The End of a Black Hole's Evaporation -- Part I
• Evaporating black-to-white hole
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• The End of a Black Hole's Evaporation -- Part II
• Causal Structure of a recent Loop Quantum Gravity Black Hole Collapse Model
• Effective black-to-white hole bounces: The cost of surgery
• Black to white transition of a charged black hole
• Rainbow Oppenheimer-Snyder collapse and the entanglement entropy production
• New black-to-white hole solutions with improved geometry and energy conditions
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Pre-big-bang black-hole remnants and the past low entropy
• Through a Black Hole Singularity
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Herglotz Action for Homogeneous Cosmology
• Symmetric black-to-white hole solutions with a cosmological constant
• Dimensional aspects of Lovelock-Lanczos gravity
• Black holes to white holes II: quasi-classical scenarios for white hole evolution
• Exact results in a punctured neighborhood of a strong curvature singularity
• A spin foam framework for the black-to-white hole transition
• Can Light Cross a Singularity? Exact Solutions from Analogue Gravity
• Crossing the singularity of a gravitational wave collision
• Space-like Singularities of General Relativity: A Phantom menace?