Pith. sign in

REVIEW 4 major objections 2 minor 1 cited by

The standard sharp Rindler firewall is incompatible with nonlinear Unruh-DeWitt detector couplings to local field observables.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

T0 review · grok-4.5

2026-07-13 01:23 UTC pith:75U5RMGF

load-bearing objection Abstract-only: interesting no-go claim for nonlinear UDW detectors on a sharp Rindler firewall, but the load-bearing distributional math and causal attribution cannot be checked. the 4 major comments →

arxiv 2607.09660 v1 pith:75U5RMGF submitted 2026-07-10 quant-ph gr-qchep-th

Nonlinear particle detectors across the Rindler firewall

Matheus H. Zambianco , Eduardo Mart\'in-Mart\'inez This is my paper
classification quant-ph gr-qchep-th
keywords Unruh-DeWitt detectorsRindler firewallnonlinear couplingsquantum field theorydistributional responselocal energy densityparticle detectorshorizon correlations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper argues that the usual sharp model of a Rindler firewall cannot be consistently probed by particle detectors that couple nonlinearly to local observables of a quantum scalar field. Using a distributional framework for detector response functions, the authors recover a finite response for ordinary derivative coupling, yet show that quadratic coupling to the field momentum produces ill-defined products of distributions and formal δ(0)-type divergences. Because the detector’s response to local energy density is closely tied to that quadratic momentum response, the same pathology appears there. The results matter because they locate the inconsistency in the discontinuous severing of correlations across the horizon rather than in any defect of the detector model itself, thereby constraining how sharp firewalls can be realized in quantum field theory.

Core claim

When Unruh-DeWitt detectors couple nonlinearly to composite local observables of a quantum scalar field and cross a Rindler firewall, quadratic momentum coupling yields ill-defined products of distributions and unavoidable formal δ(0)-type divergences; the local energy-density response inherits the same pathology, while the familiar derivative-coupling model remains finite. This establishes that the standard sharp firewall is incompatible with such nonlinear detector couplings.

What carries the argument

A distributional framework that evaluates the response functions of Unruh-DeWitt detectors coupled to composite observables (quadratic field momentum and local energy density). The framework diagnoses whether those responses remain well-defined or produce divergent products of distributions when the detector trajectory crosses the Rindler horizon.

Load-bearing premise

The observed divergences arise specifically from the discontinuous severing of field correlations across the Rindler horizon, rather than from incomplete regularization of the composite operators or from an artifact of the distributional formalism itself.

What would settle it

An explicit calculation in which a smoothed or regularized version of the same correlation cut across the horizon yields finite nonlinear detector responses, or a regularization of the composite operators that cancels the formal δ(0) while still preserving the discontinuous Wightman function of the sharp firewall.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • Nonlinear detectors cannot register a finite, well-defined response when crossing a sharp Rindler firewall.
  • Any consistent realization of the firewall must either smooth the correlation cut or restrict detectors to linear couplings.
  • Local energy density, as measured by nonlinear detectors, is formally divergent at the firewall.
  • Derivative-coupled detectors remain well-behaved and can still be used to probe the same geometry.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Softening the firewall into a thin but continuous transition region is likely to restore finite nonlinear responses.
  • Analogous distributional pathologies should appear for any other horizon-like surface that abruptly severs field correlations.
  • Regularization schemes that keep the discontinuous correlation structure intact are unlikely to remove the δ(0) terms.
  • The result constrains how quantum information may be cut across horizons in detector-based models of complementarity.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

4 major / 2 minor

Summary. The manuscript studies Unruh–DeWitt detectors coupled to composite local observables of a quantum scalar field—specifically quadratic coupling to the field momentum and coupling to the local energy density—within a distributional framework, and applies that framework to detectors that cross a Rindler firewall. The authors report that the ordinary derivative-coupling response remains finite, while quadratic momentum coupling produces ill-defined products of distributions and formal δ(0)-type divergences; because the local energy-density response is closely tied to the quadratic-momentum response, they conclude that the standard sharp firewall model is incompatible with nonlinear detector couplings to local observables, and they attribute the pathologies to the discontinuous severing of correlations across the Rindler horizon rather than to the detector model itself.

Significance. If the claimed incompatibility is rigorously established, the result would supply an operational obstruction to the sharp firewall idealization for any detector that couples nonlinearly to local field observables, and would thereby constrain which detector models remain well-defined near discontinuous horizons. Recovery of the known finite derivative-coupling response is a useful consistency check. The work sits at the intersection of relativistic quantum information, QFT in curved spacetime, and the firewall literature; a fully controlled demonstration would be of genuine interest to that community. At present only the abstract is available, so the significance assessment remains conditional on the unreproduced distributional analysis.

major comments (4)
  1. [Abstract (distributional framework)] The central incompatibility claim rests on the assertion that quadratic-momentum (and hence local energy-density) responses produce unavoidable, ill-defined products of distributions and formal δ(0) divergences. With only the abstract available, the distributional identities, the precise sense in which the products are undefined, and the domain of the test functions used for the detector response cannot be inspected. Without those steps the claim that the divergences are unavoidable rather than an artifact of an incomplete regularization cannot be verified.
  2. [Abstract (origin of pathologies)] The abstract attributes the pathologies to the discontinuous severing of correlations across the Rindler horizon rather than to the detector model or the distributional framework. That causal attribution is load-bearing for the incompatibility conclusion, yet no control calculation that isolates the horizon discontinuity (e.g., comparison with a smoothened firewall, or with the same composite operators away from the horizon) is indicated. Absent such a control, the attribution remains an interpretation rather than a demonstrated necessity.
  3. [Abstract (energy-density coupling)] The local energy-density response is said to be “closely tied” to the quadratic-momentum response and therefore to inherit the same pathology. The precise operator relation, the renormalization prescription (if any) for the energy density, and the transfer of the δ(0) terms must be made explicit; a mere formal kinship does not by itself establish that every admissible regularization of the energy density remains divergent.
  4. [Abstract (derivative-coupling consistency check)] The recovery of a finite derivative-coupling response is cited as evidence that the framework can be well-behaved for linear couplings. To convert this into support for the nonlinear incompatibility claim, the manuscript must show that the same regularization scheme that renders the derivative coupling finite fails for the quadratic coupling in a manner that cannot be cured by standard point-splitting or Hadamard subtraction. That comparison is not visible from the abstract alone.
minor comments (2)
  1. [Abstract] The abstract uses “formal δ(0)-type divergences” without indicating whether these are ultraviolet, infrared, or coinciding-point singularities of composite operators; a one-sentence clarification of the singularity type would help readers place the result relative to standard QFT renormalization.
  2. [Abstract] The phrase “standard sharp firewall model” should be pinned to a concrete reference or definition (e.g., the precise two-point function or the mode-matching condition across the horizon) so that the claimed incompatibility is not ambiguous.

Circularity Check

0 steps flagged

No circularity found: abstract-only calculation of detector responses; divergences are derived outputs, not definitional inputs.

full rationale

Only the abstract is available. It describes a direct distributional calculation of Unruh-DeWitt response functions for composite (quadratic-momentum and local energy-density) couplings in a fixed Rindler-firewall background. The finite recovery of the ordinary derivative-coupling response and the appearance of ill-defined products of distributions / formal δ(0) divergences for the nonlinear cases are presented as computational outcomes, not as quantities fitted to data or smuggled in by redefinition. No free parameters are adjusted to force the incompatibility claim; no uniqueness theorem or ansatz is imported via self-citation; and the causal attribution to horizon correlation severing is an interpretive suggestion, not a load-bearing definitional step. Because the derivation chain is a standard first-principles evaluation of detector responses against an externally specified background, there is no self-definitional loop, no fitted-input-called-prediction, and no self-citation that reduces the central claim to its own premises. Score 0 is therefore the correct, proportionate finding for an abstract-only review of a self-contained calculation.

Axiom & Free-Parameter Ledger

0 free parameters · 4 axioms · 0 invented entities

Abstract-only review; ledger is inferred from stated setup. No free parameters are fitted. Background axioms are standard UDW and QFT-in-curved-spacetime assumptions plus the sharp-firewall idealization. No new particles or forces are introduced.

axioms (4)
  • domain assumption Unruh-DeWitt detectors coupled to composite local field observables (quadratic momentum, energy density) are valid probes of the quantum field.
    Standard modeling choice in relativistic quantum information; invoked as the detector framework throughout the abstract.
  • domain assumption The Rindler firewall is modeled as a discontinuous severing of correlations across the horizon.
    The abstract attributes pathologies to this discontinuous cut; the sharp-firewall idealization is load-bearing for the incompatibility claim.
  • domain assumption Detector response functions for composite operators may be evaluated in a distributional framework that permits products of distributions.
    The abstract develops and relies on this framework; its validity for quadratic momentum products is central and not independently verified here.
  • standard math Standard free scalar quantum field theory on Rindler/Minkowski spacetime.
    Background QFT setting assumed for Unruh-DeWitt analyses.

pith-pipeline@v1.1.0-grok45 · 6037 in / 2256 out tokens · 36924 ms · 2026-07-13T01:23:04.470107+00:00 · methodology

0 comments
read the original abstract

We investigate Unruh-DeWitt detectors coupled to composite observables of a quantum scalar field, including quadratic coupling to the field momentum and coupling to the local energy density. We develop a distributional framework for evaluating the corresponding detector response functions and apply it to detectors crossing the Rindler firewall. While we recover the finite response of the derivative-coupling model, we show that quadratic momentum coupling leads to ill-defined products of distributions and unavoidable formal $\delta(0)$-type divergences. Since the local energy-density response is closely tied to the quadratic momentum response, our results provide strong evidence that the standard sharp firewall model is incompatible with nonlinear detector couplings to local observables. Our analysis further suggests that these pathologies originate from the discontinuous severing of correlations across the Rindler horizon, rather than from the detector model itself.

Figures

Figures reproduced from arXiv: 2607.09660 by Eduardo Mart\'in-Mart\'inez, Matheus H. Zambianco.

Figure 1
Figure 1. Figure 1: Comparison between the (dimensionless) response [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Response functions in the Minkowski vacuum for a [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: Schematic representation of an inertial pointlike [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: Comparison between the detector response when [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Comparison between the detector response when [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Ultraviolet structure of entanglement harvesting from energy density and other quadratic couplings

    quant-ph 2026-07 conditional novelty 7.0

    Energy-density-coupled entanglement harvesting is UV finite when detector switchings do not overlap in time, and for Gaussian-smeared detectors it is automatically finite in 1+1 and 2+1 dimensions.

Reference graph

Works this paper leans on

57 extracted references · 2 canonical work pages · cited by 1 Pith paper

  1. [1]

    using integration-by-parts techniques—but using the distributional methods that will be employed throughout the remainder of this paper. This is essential to compare with the non-linear coupling case, where an integration- by-parts treatment is no longer available in a straightfor- ward manner, and a distributional analysis is necessary. A. Construction o...

  2. [2]

    f0(τ, τ ′) + frf(τ, τ ′) +f fr(τ, τ ′) 2 # ,(93) B ≡ − Z ∞ −∞ Z ∞ −∞ dτdτ ′ g(τ, τ ′) ∆τ−iϵ

    This shows that the right-moving (U) and left-moving (V) sectors decouple. Consequently, the left-moving sec- tor propagates into the future wedge F only from R, and into the past wedge P only from L, while the right-moving sector propagates into F only from L, and into P only from R (see Fig. 3). This determines a unique exten- sion of the state to F∪P∪R...

  3. [3]

    W. G. Unruh, Notes on black-hole evaporation, Phys. Rev. D14, 870 (1976)

    1976

  4. [4]

    DeWitt,General Relativity; an Einstein Centenary Survey(Cambridge University Press, Cambridge, UK, 1980)

    B. DeWitt,General Relativity; an Einstein Centenary Survey(Cambridge University Press, Cambridge, UK, 1980)

    1980

  5. [5]

    W. G. Unruh and R. M. Wald, What happens when an accelerating observer detects a rindler particle, Phys. Rev. D29, 1047 (1984)

    1984

  6. [6]

    Schlicht, Considerations on the Unruh effect: causal- ity and regularization, Class

    S. Schlicht, Considerations on the Unruh effect: causal- ity and regularization, Class. Quantum Gravity21, 4647 (2004)

    2004

  7. [7]

    Louko and A

    J. Louko and A. Satz, How often does the Unruh-DeWitt detector click? regularization by a spatial profile, Class. Quantum Gravity23, 6321 (2006)

    2006

  8. [8]

    Valentini, Non-local correlations in quantum electro- dynamics, Phys

    A. Valentini, Non-local correlations in quantum electro- dynamics, Phys. Lett. A153, 321 (1991)

    1991

  9. [9]

    Reznik, Entanglement from the vacuum, Foundations of Physics33, 167 (2003)

    B. Reznik, Entanglement from the vacuum, Foundations of Physics33, 167 (2003)

    2003

  10. [10]

    Pozas-Kerstjens and E

    A. Pozas-Kerstjens and E. Mart´ ın-Mart´ ınez, Harvesting correlations from the quantum vacuum, Phys. Rev. D92, 064042 (2015)

    2015

  11. [11]

    Pozas-Kerstjens and E

    A. Pozas-Kerstjens and E. Mart´ ın-Mart´ ınez, Entangle- ment harvesting from the electromagnetic vacuum with hydrogenlike atoms, Phys. Rev. D94, 064074 (2016)

    2016

  12. [12]

    Morote-Balboa and T

    M. Morote-Balboa and T. R. Perche, Optimization of en- tanglement harvesting with arbitrary temporal profiles: the limit of second order perturbation theory (2026), arXiv:2604.06303 [quant-ph]

    Pith/arXiv arXiv 2026

  13. [13]

    VerSteeg and N

    G. VerSteeg and N. C. Menicucci, Entangling power of an expanding universe, Phys. Rev. D79, 044027 (2009)

    2009

  14. [14]

    L. J. Henderson, R. A. Hennigar, R. B. Mann, A. R. H. Smith, and J. Zhang, Harvesting entanglement from the 28 black hole vacuum, Class. Quantum Gravity35, 21LT02 (2018)

    2018

  15. [15]

    K. K. Ng, R. B. Mann, and E. Mart´ ın-Mart´ ınez, New techniques for entanglement harvesting in flat and curved spacetimes, Phys. Rev. D97, 125011 (2018)

    2018

  16. [16]

    Tjoa and R

    E. Tjoa and R. B. Mann, Harvesting correlations in Schwarzschild and collapsing shell spacetimes, Jour. High Energy Phys.2020, 155 (2020)

    2020

  17. [17]

    M. P. G. Robbins, L. J. Henderson, and R. B. Mann, Entanglement amplification from rotating black holes, Class. Quantum Grav.39, 02LT01 (2021)

    2021

  18. [18]

    Maeso-Garc´ ıa, T

    H. Maeso-Garc´ ıa, T. R. Perche, and E. Mart´ ın-Mart´ ınez, Entanglement harvesting: Detector gap and field mass optimization, Phys. Rev. D106, 045014 (2022)

    2022

  19. [19]

    I. J. Membrere, K. Gallock-Yoshimura, L. J. Henderson, and R. B. Mann, Tripartite entanglement extraction from the black hole vacuum, Advanced Quantum Technologies 6, 10.1002/qute.202300125 (2023)

    work page doi:10.1002/qute.202300125 2023

  20. [20]

    S. Wang, M. R. P. Rivas, and R. B. Mann, Harvesting information across the horizon (2025), arXiv:2504.00083 [gr-qc]

    Pith/arXiv arXiv 2025

  21. [21]

    M. H. Zambianco, A. Teixid´ o-Bonfill, and E. Mart´ ın- Mart´ ınez, Cosmological expansion induces interference between communication and entanglement harvesting, Physical Review D113, 10.1103/vfb8-3z93 (2026)

    work page doi:10.1103/vfb8-3z93 2026

  22. [22]

    Wurtz, C

    K. Wurtz, C. Lima, R. C. Myers, and E. Mart´ ın- Mart´ ınez, Entanglement harvesting in conformal field theory (2026), arXiv:2602.07112 [quant-ph]

    arXiv 2026

  23. [23]

    Hotta, Quantum measurement information as a key to energy extraction from local vacuums, Phys

    M. Hotta, Quantum measurement information as a key to energy extraction from local vacuums, Phys. Rev. D 78, 045006 (2008)

    2008

  24. [24]

    Hotta, Quantum energy teleportation: An introduc- tory review (2011), arXiv:1101.3954 [quant-ph]

    M. Hotta, Quantum energy teleportation: An introduc- tory review (2011), arXiv:1101.3954 [quant-ph]

    Pith/arXiv arXiv 2011

  25. [25]

    N. A. Rodr´ ıguez-Briones, H. Katiyar, E. Mart´ ın- Mart´ ınez, and R. Laflamme, Experimental activation of strong local passive states with quantum information, Phys. Rev. Lett.130, 110801 (2023)

    2023

  26. [26]

    R. H. Jonsson, E. Mart´ ın-Mart´ ınez, and A. Kempf, In- formation transmission without energy exchange, Phys. Rev. Lett.114, 110505 (2015)

    2015

  27. [27]

    Blasco, L

    A. Blasco, L. J. Garay, M. Mart´ ın-Benito, and E. Mart´ ın- Mart´ ınez, Timelike information broadcasting in cosmol- ogy, Phys. Rev. D93, 024055 (2016)

    2016

  28. [28]

    Blasco, L

    A. Blasco, L. J. Garay, M. Mart´ ın-Benito, and E. Mart´ ın- Mart´ ınez, Violation of the Strong Huygen’s Principle and Timelike Signals from the Early Universe, Phys. Rev. Lett.114, 141103 (2015)

    2015

  29. [29]

    Simidzija and E

    P. Simidzija and E. Mart´ ın-Mart´ ınez, Information carry- ing capacity of a cosmological constant, Phys. Rev. D95, 025002 (2017)

    2017

  30. [30]

    Takagi, Vacuum Noise and Stress Induced by Uniform Acceleration: Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension, Prog

    S. Takagi, Vacuum Noise and Stress Induced by Uniform Acceleration: Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension, Prog. Theor. Phys. Supp.88, 1 (1986)

    1986

  31. [31]

    L. C. B. Crispino, A. Higuchi, and G. E. A. Matsas, The Unruh effect and its applications, Rev. Mod. Phys.80, 787 (2008)

    2008

  32. [32]

    D. E. Bruschi, J. Louko, E. Mart´ ın-Mart´ ınez, A. Dragan, and I. Fuentes, Unruh effect in quantum information be- yond the single-mode approximation, Phys. Rev. A82, 042332 (2010)

    2010

  33. [33]

    S. W. Hawking, Particle creation by black holes, inEu- clidean Quantum Gravity, pp. 167–188

  34. [34]

    Hodgkinson, J

    L. Hodgkinson, J. Louko, and A. C. Ottewill, Static detectors and circular-geodesic detectors on the schwarzschild black hole, Phys. Rev. D89, 104002 (2014)

    2014

  35. [35]

    N. D. Birrell and P. C. W. Davies,Quantum Fields in Curved Space, Cambridge Monographs on Mathematical Physics (Cambridge University Press, 1982)

    1982

  36. [36]

    Ottewill and S

    A. Ottewill and S. Takagi, Particle detector response for thermal states in static spacetimes, Prog. Theor. Phys. 77, 310 (1987)

    1987

  37. [37]

    S. S. Costa and G. E. A. Matsas, Background thermal contributions in testing the Unruh effect, Physical Re- view D52, 3466–3471 (1995)

    1995

  38. [38]

    Padmanabhan and T

    T. Padmanabhan and T. P. Singh, Response of acceler- ated detectors in coherent states and the semiclassical limit, Phys. Rev. D38, 2457 (1988)

    1988

  39. [39]

    Simidzija and E

    P. Simidzija and E. Mart´ ın-Mart´ ınez, All coherent field states entangle equally, Phys. Rev. D96, 025020 (2017)

    2017

  40. [40]

    Louko, Unruh-DeWitt detector response across a Rindler firewall is finite, J

    J. Louko, Unruh-DeWitt detector response across a Rindler firewall is finite, J. High Energy Phys.2014(9), 142

    2014

  41. [41]

    Almheiri, D

    A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, Black holes: Complementarity or firewalls?, J. High Energy Phys.2013(2), 062

    2013

  42. [42]

    S. L. Braunstein, S. Pirandola, and K. ˙Zyczkowski, Better late than never: Information retrieval from black holes, Phys. Rev. Lett.110, 101301 (2013)

    2013

  43. [43]

    S. D. Mathur, The information paradox: a pedagogical introduction, Class. Quantum Grav.26, 224001 (2009)

    2009

  44. [44]

    Mart´ ın-Mart´ ınez and J

    E. Mart´ ın-Mart´ ınez and J. Louko, (1 + 1)D calculation provides evidence that quantum entanglement survives a firewall, Phys. Rev. Lett.115, 031301 (2015)

    2015

  45. [45]

    S. A. Fulling, M. Sweeny, and R. M. Wald, Singularity structure of the two-point function in quantum field the- ory in curved spacetime, Commun. Math. Phys63, 257 (1978)

    1978

  46. [46]

    C. J. Fewster and R. Verch, The necessity of the Hadamard condition, Class. Quantum Grav.30, 235027 (2013)

    2013

  47. [47]

    Padmanabhan and T

    T. Padmanabhan and T. P. Singh, Response of an accel- erated detector coupled to the stress-energy tensor, Class. Quantum Grav.4, 1397 (1987)

    1987

  48. [48]

    Mart´ ın-Mart´ ınez, T

    E. Mart´ ın-Mart´ ınez, T. R. Perche, and B. de S. L. Torres, General relativistic quantum optics: Finite-size particle detector models in curved spacetimes, Phys. Rev. D101, 045017 (2020)

    2020

  49. [49]

    Mart´ ın-Mart´ ınez, T

    E. Mart´ ın-Mart´ ınez, T. R. Perche, and B. d. S. L. Tor- res, Broken covariance of particle detector models in rela- tivistic quantum information, Phys. Rev. D103, 025007 (2021)

    2021

  50. [50]

    H¨ ummer, E

    D. H¨ ummer, E. Mart´ ın-Mart´ ınez, and A. Kempf, Renor- malized Unruh-DeWitt particle detector models for bo- son and fermion fields, Phys. Rev. D93, 024019 (2016)

    2016

  51. [51]

    Sachs, R

    A. Sachs, R. B. Mann, and E. Mart´ ın-Mart´ ınez, Entan- glement harvesting and divergences in quadratic Unruh- DeWitt detector pairs, Phys. Rev. D96, 085012 (2017)

    2017

  52. [52]

    I. M. Gelfand and G. E. Shilov,Generalized Functions, Volume 1: Properties and Operations, AMS Chelsea Pub- lishing (American Mathematical Society, Providence, RI, 2016)

    2016

  53. [53]

    B. A. Ju´ arez-Aubry and J. Louko, Onset and decay of the 1 + 1 Hawking–Unruh effect: what the derivative- coupling detector saw, Class. Quantum Grav.31, 245007 (2014)

    2014

  54. [54]

    Takagi, Vacuum noise and stress induced by uniform 29 acceleration: Hawking–unruh effect in rindler manifold of arbitrary dimension, Prog

    S. Takagi, Vacuum noise and stress induced by uniform 29 acceleration: Hawking–unruh effect in rindler manifold of arbitrary dimension, Prog. Theor. Phys. Suppl.88, 1 (1986)

    1986

  55. [55]

    Tjoa and E

    E. Tjoa and E. Mart´ ın-Mart´ ınez, When entanglement harvesting is not really harvesting, Phys. Rev. D104, 125005 (2021)

    2021

  56. [56]

    J. C. A. Barata,Notas para um Curso de F´ ısica- Matem´ atica(Departamento de F´ ısica Matem´ atica, Uni- versidade de S˜ ao Paulo, S˜ ao Paulo, Brazil, 2026) vers˜ ao de 04 de julho de 2026

    2026

  57. [57]

    D´ ecanini and A

    Y. D´ ecanini and A. Folacci, Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension, Phys. Rev. D78, 044025 (2008)

    2008