Measurements without Probabilities in the Final State Proposal
arXiv:1310.7457 · doi:10.1103/PhysRevD.89.044038
Abstract
The black hole final state proposal reconciles the infalling vacuum with the unitarity of the Hawking radiation, but only for some experiments. We study experiments that first verify the exterior, then the interior purification of the same Hawking particle. (This is the same protocol that renders the firewall paradox operationally meaningful in standard quantum mechanics.) We show that the decoherence functional fails to be diagonal, even upon inclusion of external "pointer" systems. Hence, probabilities for outcomes of these measurements are not defined. We conclude that the final state proposal does not offer a consistent alternative to the firewall hypothesis.
17 pages, 5 figures
References in corpus (3)
Cited by in corpus (15)
- Jerusalem Lectures on Black Holes and Quantum Information
- The Black Hole information problem: past, present, and future
- Excluding Black Hole Firewalls with Extreme Cosmic Censorship
- Entanglement Wedge Reconstruction and the Information Paradox
- On the Page curve under final state projection
- Lagrangian constraints and renormalization of 4D gravity
- Entanglement island, miracle operators and the firewall
- Quantum Causal Influence
- Comment on "Measurements without probabilities in the final state proposal"
- Do black holes create polyamory?
- What can we learn about islands and state paradox from quantum information theory?
- Future Boundaries and the Black Hole Information Paradox
- Quantum Correlations in Space-Time: Foundations and Applications
- Quantum Channels in Quantum Gravity
- A Model for Unitary Black Hole Evaporation