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This paper translates the AMPS black hole firewall paradox into an analogue gravity system using phonons in a Bose-Einstein condensate, proposing that unitarity violations manifest as measurable thermal energy density changes near a sonic horizon. While the work does not resolve the fundamental information paradox itself, it offers a specific kinematic prediction for differential calorimetry signals that could be tested experimentally after the analogue Page time. The research sits at the intersection of theoretical quantum gravity and cold atom physics, focusing strictly on entanglement monogamy rather than consumer or general software applications.
Acoustic Firewalls: Analogue Gravity Perspective on the AMPS Paradox
arXiv:2607.14056v2 Announce Type: replace-cross Abstract: The monogamy of quantum entanglement, applied by Almheiri-Marolf-Polchinski-Sully (AMPS) to black holes, obstructs a smooth horizon vacuum after the Page time. We transcribe this argument to Hawking-like phonon radiation from a sonic horizon in the Unruh acoustic metric. An exact purity identity shows that post-Page-time unitarity forces the entanglement between an outgoing phonon and its interior partner to vanish, selecting a non-Hadamard (Boulware-like) phonon state, which we define as an acoustic firewall. Its renormalized stress tensor differs from the smooth state by a constant, negative near-horizon flux, and the thermal-atmosphere energy density it removes, measured by a static calorimeter, grows as $(\delta r)^{-2}$ in the radial coordinate toward the horizon (singular in the free-fall frame), cut off at the healing length. The construction is kinematic and does not resolve the information paradox; it yields one concrete, falsifiable prediction: a differential phonon-calorimetry signal $\mathcal{R}(\delta r)=|\Delta\mathcal{E}|/\mathcal{E}^{(0)}\to(\ell_\kappa/\delta r)^{2}$, present only after the analogue Page time in a Bose-Einstein condensate.
Abstract:The monogamy of quantum entanglement, applied by Almheiri-Marolf-Polchinski-Sully (AMPS) to black holes, obstructs a smooth horizon vacuum after the Page time. We transcribe this argument to Hawking-like phonon radiation from a sonic horizon in the Unruh acoustic metric. An exact purity identity shows that post-Page-time unitarity forces the entanglement between an outgoing phonon and its interior partner to vanish, selecting a non-Hadamard (Boulware-like) phonon state, which we define as an acoustic firewall. Its renormalized stress tensor differs from the smooth state by a constant, negative near-horizon flux, and the thermal-atmosphere energy density it removes, measured by a static calorimeter, grows as $(\delta r)^{-2}$ in the radial coordinate toward the horizon (singular in the free-fall frame), cut off at the healing length. The construction is kinematic and does not resolve the information paradox; it yields one concrete, falsifiable prediction: a differential phonon-calorimetry signal $\mathcal{R}(\delta r)=|\Delta\mathcal{E}|/\mathcal{E}^{(0)}\to(\ell_\kappa/\delta r)^{2}$, present only after the analogue Page time in a Bose-Einstein condensate.
Combined Letter and Supplemental Material (8 pages, 6 figures, 1 table). v2: references added, affiliation of S.N.A. updated. Submitted to Phys. Rev. Lett. Code and data: Zenodo, doi:https://doi.org/10.5281/zenodo.21269544
General Relativity and Quantum Cosmology (gr-qc); Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)
arXiv:2607.14056 [gr-qc]
(or arXiv:2607.14056v2 [gr-qc] for this version)
Full text under the publisher's open licence · 204 words
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