Black Hole Firewalls Require Huge Energy of Measurement

Abstract

The unitary moving mirror model is one of the best quantum systems for checking the reasoning of the original firewall paradox of AMPS in quantum black holes. Though the late-time part of radiations emitted from the mirror is fully entangled with the early-part, no firewall exists with a deadly, huge average energy flux in this model. This is because high-energy entanglement structure of the discretized systems in almost maximally entangled states is modified so as to yield the correct description of low-energy effective field theory. Furthermore, the strong subadditivity paradox of firewalls is resolved using non-locality of general one-particle states and zero-point fluctuation entanglement. Due to the Reeh-Schlieder theorem in quantum field theory, another firewall paradox is inevitably raised with quantum remote measurements in the model. We resolve this paradox from the viewpoint of the energy cost of measurements. No firewall appears, as long as the energy for the measurement is much smaller than the ultraviolet cutoff scale.

36 pages, 12 fugures. To be published in Physical Review D

References in corpus (7)

• Area laws in quantum systems: mutual information and correlations
• Gauge/Gravity Duality and the Black Hole Interior
• Quantum Measurement Information as a key to Energy Release from Local Vacuums
• Black Holes, Information, and Hilbert Space for Quantum Gravity
• Quantum Energy Teleportation without Limit of Distance
• Excluding Black Hole Firewalls with Extreme Cosmic Censorship
• An Uneventful Horizon in Two Dimensions

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• Excluding Black Hole Firewalls with Extreme Cosmic Censorship
• Signatures of Energy Flux in Particle Production: A Black Hole Birth Cry and Death Gasp
• An Uneventful Horizon in Two Dimensions
• The equivalence principle and QFT: Can a particle detector tell if we live inside a hollow shell?
• (1+1)D Calculation provides evidence that quantum entanglement survives a firewall
• The Fall of Black Hole Firewall: Natural Nonmaximal Entanglement for Page Curve
• The effective Tolman temperature in curved spacetimes
• Radiation from a receding mirror: Unruh-DeWitt detector distinguishes a Dirac fermion from a scalar boson
• Semiclassical approach for the evaporating black hole revisited