On the nature of the black hole information problem

Abstract

The aim of this work is to present the black hole information problem and discuss the assumptions and hypotheses necessary for its formulation. As the problem arises in the framework of semiclassical gravity, we first review the necessary notions to describe Lorentzian manifolds equipped with physical properties, as well as the physical concepts of the theory that describes the gravitational interaction as the curvature of spacetime, general relativity. From its classical perspective, we develop the formalism to study the dynamical aspects of black holes in spacetimes obeying suitable causality conditions. Equipped with conjectures that nature censors naked singularities and that black holes reach a stationary configuration after they form, the black hole uniqueness theorems allow us to review several relations for the geometrical quantities associated with them. Following considerations of the other fundamental interactions, which are described by quantum field theory, we review the arguments in the formalism of quantum field theory in curved spacetime that give rise to the effective particle creation effect, its approximately thermal character, and the concept of black hole evaporation. With a precise quantification of information in quantum mechanics and assuming that the condition for physically acceptable states is given by the Hadamard condition, we review the result that entanglement between causally complementary regions is an intrinsic feature of quantum field theory. As a consequence, we discuss how the formation and complete evaporation of black holes leads to information loss. Conscious that such a prediction follows if no deviations from the semiclassical picture occur at the Planck scale, we discuss alternatives to this nonunitary dynamical evolution and formulate the black hole information problem. Lastly, we analyze the assumptions and hypotheses that lead to the problem.

arXiv commentMSc dissertation defended at University of Sao Paulo (Brazil) on May 7th 2024. Minor typos corrected

References in corpus (62)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Quantum entanglement
• The Large N Limit of Superconformal Field Theories and Supergravity
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Thermodynamics of Spacetime: The Einstein Equation of State
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Entropy and Area
• On the Origin of Gravity and the Laws of Newton
• The holographic principle
• Black Holes: Complementarity or Firewalls?
• The Galactic Center Massive Black Hole and Nuclear Star Cluster
• Building up spacetime with quantum entanglement
• Quantum Geometry and Black Hole Entropy
• The Stretched Horizon and Black Hole Complementarity
• Ground-to-satellite quantum teleportation
• The Unruh effect and its applications
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• The fuzzball proposal for black holes: an elementary review
• Thermodynamical Aspects of Gravity: New insights
• Soft Hair on Black Holes
• The Thermodynamics of Black Holes
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Emergent Gravity and the Dark Universe
• Entanglement entropy of black holes
• Stationary Black Holes: Uniqueness and Beyond
• Entropy, Area, and Black Hole Pairs
• Information Loss in Black Holes
• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• Black Hole Greybody Factors and D-Brane Spectroscopy
• Black Hole Evaporation without Information Loss
• Superrotation Charge and Supertranslation Hair on Black Holes
• Measurement of the Electron Magnetic Moment
• Entropy Bounds and Black Hole Remnants
• Information Loss
• The gravitational-wave memory effect
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Hawking radiation, the Stefan-Boltzmann law, and unitarization
• Gedanken Experiments involving Black Holes
• Horizon Entropy
• On the Universality of the Hawking Effect
• Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
• On Evolution Laws Taking Pure States to Mixed States in Quantum Field Theory
• The Kerr spacetime: A brief introduction
• Global Extensions of Spacetimes Describing Asymptotic Final States of Black Holes
• The AdS/CFT Correspondence
• Horizon entropy and higher curvature equations of state
• Singularity theorems from weakened energy conditions
• Can quantum mechanics fool the cosmic censor?
• Non-existence of stationary two-black-hole configurations
• Lectures on quantum energy inequalities
• Killing Horizons Decohere Quantum Superpositions
• Thermality of the Hawking flux
• The universality of black hole thermodynamics
• Emergent Gravity in a Holographic Universe
• Astrophysical Evidence for Black Holes
• New thought experiment to test the generalized second law of thermodynamics
• Catalogue of Spacetimes
• Regularity of Horizons and The Area Theorem
• On the thermodynamic aspects of gravity