Towards a unitary formulation of quantum field theory in curved space-time: the case of Schwarzschild black hole
arXiv:2307.10345 · doi:10.1093/ptep/ptae176
Abstract
We argue that the origin of unitarity violation and information loss paradox in our understanding of black holes (BH) lies in the standard way of doing quantum field theory in curved space-time (QFTCS), which is heavily biased on intuition borrowed from classical General Relativity. In this paper, with the quantum first approach, we formulate a so-called direct-sum QFT (DQFT) in BH space-time based on a novel formulation of discrete space-time transformations in gravity that potentially restores unitarity. By invoking the quantum effects associated with the gravitational backreaction, we show that the Hawking quanta emerging outside of the Schwarzschild radius () cannot be independent of the quanta that continue to be inside . This enables the information to be carried by Hawking quanta, but in the BH DQFT formalism, we do not get any firewalls. Furthermore, DQFT leads to the BH evaporation involving only pure states. This means the quantum mechanical effects at the BH horizon produce two components of a maximally entangled pure state in geometric superselection sector Hilbert spaces. This construction enables pure states to evolve into pure states, restoring unitarity and observer complementarity. Finally, we discuss how our framework leaves important clues for formulating a scattering matrix and probing the nature of quantum gravity.
arXiv comment41 pages, 7 figures. Version accepted in PTEP
References in corpus (48)
- Black Holes: Complementarity or Firewalls?
- Cool horizons for entangled black holes
- Information in Black Hole Radiation
- The information paradox: A pedagogical introduction
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- The Generalized Uncertainty Principle and Black Hole Remnants
- Soft Hair on Black Holes
- The entropy of Hawking radiation
- Classical Black Hole Production in High-Energy Collisions
- Time Dependence of Hawking Radiation Entropy
- The scattering matrix approach for the quantum black hole, an overview
- Eikonal Quantum Gravity and Planckian Scattering
- Islands in cosmology
- Black Holes and Scalar Fields
- Elliptic de Sitter Space: dS/Z_2
- Shockwave S-matrix from Schwarzian Quantum Mechanics
- Interior of a Schwarzschild black hole revisited
- The Information Paradox for Black Holes
- The arrow of causality and quantum gravity
- Black hole memory effect
- Black hole unitarity and antipodal entanglement
- The Black Hole S-Matrix from Quantum Mechanics
- High energy scattering in gravity and supergravity
- What is a particle?
- Quantum Gravitational Corrections to Particle Creation by Black Holes
- Quantum causality and the arrows of time and thermodynamics
- The Quantum Black Hole as a Hydrogen Atom: Microstates Without Strings Attached
- Diagonalizing the Black Hole Information Retrieval Process
- Quantum gravity on the black hole horizon
- A Brief History of Hawking's Information Paradox
- Soft graviton exchange and the information paradox
- Target Space Entanglement Entropy
- Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime
- Snowmass White Paper: Gravitational Waves and Scattering Amplitudes
- The Classical-Quantum Duality of Nature. New Variables for Quantum Gravity
- Quantum Discrete Levels of the Universe from the Early Trans-Planckian Vacuum to the Late Dark Energy
- Parity asymmetry of primordial scalar and tensor power spectra
- Quantum gravity -- an unfinished revolution
- TF1 Snowmass Report: Quantum gravity, string theory, and black holes
- Quantum Trans-Planckian Physics inside Black Holes and its Spectrum
- Black hole entropy and quantum mechanics
- Revisiting quantum field theory in Rindler spacetime with superselection rules
- Hawking radiation with pure states
- How studying black hole theory may help us to quantise gravity
- On the black hole/string transition
- How an exact discrete symmetry can preserve black hole information or Turning a black hole inside out
- Comparing models for a unitary black hole S-matrix
- Symmetry, Structure, and Emergent Subsystems