pith. sign in

arxiv: 2511.09815 · v2 · submitted 2025-11-12 · ✦ hep-th · gr-qc

Traversable wormhole with double trace deformations via gravitational shear and sound channels

Fitria Khairunnisa , Hadyan Luthfan Prihadi , M. Zhahir Djogama , Donny Dwiputra , Freddy Permana Zen This is my paper

Pith reviewed 2026-05-17 21:45 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords traversable wormholesdouble-trace deformationshydrodynamic approximationANEC violationgravitational perturbationsshear channelsound channelAdS/CFT
0
0 comments X p. Extension

The pith

Double-trace deformations allow first-order gravitational perturbations to open traversable wormholes in both shear and sound channels of an AdS5 black brane.

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

The paper examines how double-trace deformations between the two boundaries of an AdS5 black brane induce non-local gravitational couplings. These couplings drive first-order metric perturbations in the shear and sound channels that backreact onto the background metric at second order. The backreaction violates the averaged null energy condition and produces a traversable wormhole throat according to the Gao-Jafferis-Wall protocol, all within the hydrodynamic approximation. The result demonstrates that purely gravitational dynamical perturbations can transmit information across the wormhole, with the appearance of Newton's constant confirming the gravitational mechanism. Different coupling choices and values of sound speed and attenuation are shown to control the duration and character of the traversable window.

Core claim

In the hydrodynamic regime the first-order gravitational perturbations sourced by double-trace deformations backreact on the second-order metric to produce a traversable wormhole in both the gravitational shear channel and the sound channel. The averaged null energy condition is violated, permitting information transfer whose gravitational origin is signalled by the explicit appearance of G_N. For the shear channel three distinct coupling configurations are analysed; for the sound channel the speed of sound and attenuation constant are varied, yielding a late-time power-law factor in the ANEC whose exponent weakens with increasing sound speed and whose decay character changes from power-law–

What carries the argument

The backreaction of first-order hydrodynamic metric perturbations onto the second-order background geometry induced by double-trace boundary deformations.

If this is right

  • The averaged null energy condition is violated in a controlled way that permits a finite traversable window whose duration depends on the double-trace coupling strength.
  • Late-time ANEC integrals exhibit a power-law tail whose exponent is weaker at higher sound speed, changing the decay from power-law to exponential.
  • The wormhole opening time and duration are tunable by the choice of shear-channel coupling configuration or by the sound speed and attenuation in the sound channel.
  • The explicit factor of G_N in the traversability signal establishes that the information transfer is gravitational rather than purely boundary-field-theoretic.

Where Pith is reading between the lines

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

  • The same hydrodynamic backreaction mechanism may extend to other channels or higher-derivative corrections, potentially lengthening the traversable window.
  • In the dual boundary theory the result implies a controllable non-local interaction that could be used to engineer entanglement transfer across the two sides.
  • The sound-channel dependence on propagation speed suggests that superluminal modes produce only momentary openings, which could be tested by varying the equation of state in holographic models.

Load-bearing premise

The hydrodynamic approximation remains accurate for the first-order perturbations whose second-order backreaction opens the throat, and the chosen double-trace couplings fully capture the non-local effect without higher-order terms closing the geometry.

What would settle it

A explicit computation of the next-order hydrodynamic corrections that shows the wormhole throat is closed for all insertion times would falsify the traversability claim.

Figures

Figures reproduced from arXiv: 2511.09815 by Donny Dwiputra, Fitria Khairunnisa, Freddy Permana Zen, Hadyan Luthfan Prihadi, M. Zhahir Djogama.

Figure 1
Figure 1. Figure 1: FIG. 1. Normalized energy-momentum tensor versus [PITH_FULL_IMAGE:figures/full_fig_p010_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The normalized ANEC as a function of insertion [PITH_FULL_IMAGE:figures/full_fig_p010_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The plot of the normalized [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Plot of ANEC versus [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. The plot of ANEC versus [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
Figure 8
Figure 8. Figure 8: In this plot, we consider small attenuation fac [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. The plot of ANEC versus [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Comparison between the new fitting model (solid [PITH_FULL_IMAGE:figures/full_fig_p015_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Left: Results from Eq. (103) (dots) and the new fitting model (solid lines) of the ANEC when [PITH_FULL_IMAGE:figures/full_fig_p016_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. The values of the fitting parameters [PITH_FULL_IMAGE:figures/full_fig_p016_9.png] view at source ↗
Figure 5
Figure 5. Figure 5: Furthermore, once the perturbations become [PITH_FULL_IMAGE:figures/full_fig_p017_5.png] view at source ↗
Figure 9
Figure 9. Figure 9: This behavior shows that the power-law factor [PITH_FULL_IMAGE:figures/full_fig_p018_9.png] view at source ↗
read the original abstract

We investigate how non-local gravitational couplings from double trace deformation between two asymptotic boundaries of an AdS$_5$ black brane can lead to the violation of the Averaged Null Energy Condition (ANEC). The first-order gravitational perturbations backreact with the background metric at second-order, creating a wormhole opening in the context of Gao-Jafferis-Wall traversable wormhole protocol. The wormhole becomes traversable in both the gravitational shear and sound channels within the hydrodynamic approximation. This shows that dynamical metric perturbations can facilitate information transfer in a purely gravitational setting, with the emergence of $G_{\text{N}}$ indicating the gravitational origin. For the shear channel, we consider three different coupling configurations, whereas for the sound channel, we vary both the speed of sound and the attenuation constant, as these parameters control the wormhole traversability. Furthermore, we obtain late-time power-law factor in the ANEC using fitting function and present a generalization that applies to both shear and sound channels. Due to its propagating nature, the sound channel exhibits late-time power-law remnants at low sound speed similar to the vector diffusive probes, but it prefers an exponential decay at higher sound speed similar to the scalar non-diffusive probes, as the power-law exponent weakened with increasing sound speed. For superluminal sound channels, the wormhole opens for an extremely brief duration at late insertion times, rendering it non-

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The paper investigates non-local gravitational couplings induced by double-trace deformations between the two asymptotic boundaries of an AdS5 black brane. It shows that first-order gravitational perturbations in the shear and sound channels backreact at second order on the background metric, violating the averaged null energy condition (ANEC) and opening a traversable wormhole in the Gao-Jafferis-Wall protocol. Traversability is demonstrated within the hydrodynamic approximation for three coupling configurations in the shear channel and by varying the speed of sound and attenuation constant in the sound channel; a late-time power-law factor in the ANEC is extracted via fitting and generalized to both channels. The emergence of G_N is presented as evidence of the gravitational origin of the effect.

Significance. If the central results hold, the work provides a concrete realization of traversable wormholes sourced entirely by dynamical metric perturbations in a gravitational setting, extending double-trace deformation techniques to hydrodynamic channels. The reported generalization of the late-time ANEC behavior and the parameter dependence of the traversability window constitute a modest but concrete advance in the study of information transfer across wormholes.

major comments (3)
  1. [Results section (shear and sound channels)] The central claim that the hydrodynamic approximation remains self-consistent after second-order backreaction opens a finite throat is not supported by an explicit scale-separation check. Once the throat radius is generated, it introduces a new infrared scale that could violate the long-wavelength assumption used to derive the first-order perturbations; the manuscript varies sound speed and attenuation but does not report a parametric comparison of throat size versus inverse temperature or mean free path at the relevant insertion times.
  2. [Late-time ANEC analysis] The late-time ANEC power-law factor is obtained by fitting rather than derived analytically. The claimed generalization to both shear and sound channels therefore rests on the choice of fitting function; an explicit derivation of the exponent from the hydrodynamic stress tensor would be required to establish that the power-law (or its weakening with sound speed) is not an artifact of the fit.
  3. [Sound channel results] For the sound channel, the statement that the wormhole opens only for an extremely brief duration at late insertion times when the sound speed is superluminal is presented without quantitative error estimates or higher-order gradient corrections. It is unclear whether the reported exponential decay persists once non-hydrodynamic modes or second-order corrections are included.
minor comments (2)
  1. [Abstract] The abstract is truncated mid-sentence at 'rendering it non-'.
  2. [Shear channel setup] Notation for the double-trace coupling configurations in the shear channel should be defined explicitly before the three cases are discussed.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and have revised the manuscript to incorporate the suggestions where appropriate, strengthening the presentation of our results.

read point-by-point responses

  1. Referee: The central claim that the hydrodynamic approximation remains self-consistent after second-order backreaction opens a finite throat is not supported by an explicit scale-separation check. Once the throat radius is generated, it introduces a new infrared scale that could violate the long-wavelength assumption used to derive the first-order perturbations; the manuscript varies sound speed and attenuation but does not report a parametric comparison of throat size versus inverse temperature or mean free path at the relevant insertion times.

    Authors: We thank the referee for this observation on the self-consistency of the hydrodynamic regime. In the revised manuscript we have added an explicit scale-separation analysis to the Results section. We compare the generated throat radius against the inverse temperature and the mean free path for the parameter values employed in both channels. The comparison shows that the throat remains parametrically smaller than these scales at the insertion times considered, thereby preserving the validity of the long-wavelength approximation. This addition directly addresses the concern. revision: yes

  2. Referee: The late-time ANEC power-law factor is obtained by fitting rather than derived analytically. The claimed generalization to both shear and sound channels therefore rests on the choice of fitting function; an explicit derivation of the exponent from the hydrodynamic stress tensor would be required to establish that the power-law (or its weakening with sound speed) is not an artifact of the fit.

    Authors: We agree that an analytic derivation would be stronger. Obtaining a closed-form exponent from the hydrodynamic stress tensor in the presence of the non-local double-trace deformation is technically involved. In the revision we have added a heuristic derivation of the expected late-time scaling directly from the leading stress-tensor components, together with robustness checks using alternative fitting forms. These additions support the observed power-law behavior and its dependence on sound speed while making the numerical character of the extraction explicit. revision: partial

  3. Referee: For the sound channel, the statement that the wormhole opens only for an extremely brief duration at late insertion times when the sound speed is superluminal is presented without quantitative error estimates or higher-order gradient corrections. It is unclear whether the reported exponential decay persists once non-hydrodynamic modes or second-order corrections are included.

    Authors: We appreciate the referee highlighting the need for quantitative controls. The revised manuscript now includes error estimates obtained from parameter variations and numerical convergence tests in the sound-channel section. We have also added a brief discussion of higher-order gradient corrections and non-hydrodynamic modes, noting that within the hydrodynamic regime the exponential decay remains the leading behavior. We have clarified the scope of the claim to reflect the approximations employed. revision: yes

Circularity Check

1 steps flagged

Fitted ANEC power-law and parameter-tuned traversability reduce to chosen inputs

specific steps
  1. fitted input called prediction [Abstract]
    "For the shear channel, we consider three different coupling configurations, whereas for the sound channel, we vary both the speed of sound and the attenuation constant, as these parameters control the wormhole traversability. Furthermore, we obtain late-time power-law factor in the ANEC using fitting function and present a generalization that applies to both shear and sound channels."

    Speed of sound and attenuation are varied precisely because they set traversability duration; the late-time ANEC power-law is then extracted via fitting function rather than derived, so the claimed generalization is a re-description of the fitted behavior under those same control parameters.

full rationale

The derivation obtains late-time ANEC behavior by fitting a power-law to numerical results from varying sound speed and attenuation constant, then presents the fit as a generalization applying to both channels. These parameters are explicitly chosen because they control the duration of traversability, so the reported opening of the wormhole and the late-time scaling are direct consequences of the input choices rather than independent first-principles outputs. The central claim of traversability via gravitational perturbations therefore rests on this controlled variation and post-hoc fit, producing partial circularity (score 6) while the hydrodynamic setup itself remains non-circular.

Axiom & Free-Parameter Ledger

3 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of the AdS/CFT dictionary for double-trace deformations, the hydrodynamic limit for metric perturbations, and the assumption that second-order backreaction can be computed without resumming higher orders.

free parameters (3)
  • speed of sound
    Scanned to control wormhole opening duration and late-time decay behavior in the sound channel.
  • attenuation constant
    Varied together with sound speed to tune traversability.
  • coupling configuration
    Three discrete choices for the shear-channel double-trace coupling.
axioms (2)
  • domain assumption Hydrodynamic approximation holds for first-order gravitational perturbations
    Invoked to justify the treatment of shear and sound channels.
  • domain assumption Double-trace deformation induces non-local gravitational coupling between boundaries
    Core input that sources the perturbations leading to ANEC violation.

pith-pipeline@v0.9.0 · 5575 in / 1473 out tokens · 37866 ms · 2026-05-17T21:45:12.699389+00:00 · methodology

discussion (0)

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

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 1 Pith paper

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

  1. Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation

    hep-th 2026-05 unverdicted novelty 7.0

    Fermionic double-trace deformation modifies the two-point function in Kerr/CFT to supply negative energy that opens a traversable wormhole, with traversability peaking at early times and increasing with near-extremal ...

Reference graph

Works this paper leans on

80 extracted references · 80 canonical work pages · cited by 1 Pith paper · 7 internal anchors

  1. [1]

    The linearized Einstein’s equation R(1) MN−1 2(RgMN )(1)−ΛhMN = 0,(43) gives us coupled second-order differential equations

    Green’s Function Calculations To obtain the bulk-to-boundary propagators, we first need to solve the classical equations of motion forhtx and hzx. The linearized Einstein’s equation R(1) MN−1 2(RgMN )(1)−ΛhMN = 0,(43) gives us coupled second-order differential equations. We also consider the Fourier modes of the tensor fields, htx(r,t,z) = ∫ dωd3k (2π)4 h...

    work page

  2. [2]

    The first-order Green’s function for Case I is then given by G(1) tx,tx(x;x′) =i ∫ t′ t0 dt1d3x1A(t1)KW tx,tx(x′;−t1−iβ/2,⃗ x1)Kret

    Violation of the ANEC After calculating the bulk-to-boundary propagators, we are now ready to see the violation of the ANEC. The first-order Green’s function for Case I is then given by G(1) tx,tx(x;x′) =i ∫ t′ t0 dt1d3x1A(t1)KW tx,tx(x′;−t1−iβ/2,⃗ x1)Kret. tx,tx(x;t 1,⃗ x1) +x↔x′ (79) =−VV ′ 8πT ∫ V′ V0 dV1 V1 A(V1) ∫ d3k (2π)3 D4 T sin ( DTk2 2T ) k4ei⃗...

    work page

  3. [3]

    ¯D 1 2 T 1 P(V,V 0) ∫ umax 0 u 7 2 sin(πu)P(V,V0)udu, Case I Case II Case III 0 2 4 6 8 10 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0.0 V0 8 π GN i  -1 ∫ 〈TVV 〉 dV FIG. 2. The normalized ANEC as a function of insertion timeV 0 for Case I, II, and III that ends atV= +∞. Here, we use ¯a=−1 andumax = 1/2. We can see, the earlier the deformation is turned on the more ...

    work page

  4. [4]

    now becomes umax

    Once we generalize the speed of sound,u max. now becomes umax. =v sfs. Therefore, one could expect that models with lower speed also lead to narrower wormhole open- ing. The plot of the normalized energy–momentum tensor as a function of the coordinateVand the ANEC as a function of the insertion timeV 0 for the sound channels is shown in Figure 3. It can b...

    work page

  5. [5]

    Flamm, Traversable wormholes: Some simple exam- ples, Physikalische Zeitschrift XVII , 448 (1916)

    L. Flamm, Traversable wormholes: Some simple exam- ples, Physikalische Zeitschrift XVII , 448 (1916)

    work page 1916

  6. [6]

    Einstein and N

    A. Einstein and N. Rosen, The particle problem in the general theory of relativity, Phys. Rev.48, 73 (1935)

    work page 1935

  7. [7]

    R. W. Fuller and J. A. Wheeler, Causality and multiply connected space-time, Phys. Rev.128, 919 (1962)

    work page 1962

  8. [8]

    M. S. Morris, K. S. Thorne, and U. Yurtsever, Worm- holes, time machines, and the weak energy condition, Phys. Rev. Lett.61, 1446 (1988)

    work page 1988

  9. [9]

    Barcel´ o and M

    C. Barcel´ o and M. Visser, Traversable wormholes from massless conformally coupled scalar fields, Physics Let- ters B466, 127–134 (1999)

    work page 1999

  10. [10]

    F. S. N. Lobo, Phantom energy traversable wormholes, Phys. Rev. D71, 084011 (2005)

    work page 2005

  11. [11]

    S. A. Hayward, Wormholes supported by pure exotic ra- diation, Phys. Rev. D65, 124016 (2002)

    work page 2002

  12. [12]

    Armend´ ariz-Pic´ on, On a class of stable, traversable lorentzian wormholes in classical general relativity, Phys

    C. Armend´ ariz-Pic´ on, On a class of stable, traversable lorentzian wormholes in classical general relativity, Phys. Rev. D65, 104010 (2002)

    work page 2002

  13. [13]

    Sushkov, Wormholes supported by a phantom energy, Phys

    S. Sushkov, Wormholes supported by a phantom energy, Phys. Rev. D71, 043520 (2005)

    work page 2005

  14. [14]

    O. B. Zaslavskii, Exactly solvable model of a wormhole supported by phantom energy, Phys. Rev. D72, 061303 (2005)

    work page 2005

  15. [15]

    E. F. Eiroa, Thin-shell wormholes with a generalized chaplygin gas, Phys. Rev. D80, 044033 (2009)

    work page 2009

  16. [16]

    K. A. Bronnikov and A. M. Galiakhmetov, Wormholes without exotic matter in einstein–cartan theory, Gravita- tion and Cosmology21, 283 (2015)

    work page 2015

  17. [17]

    Godani and G

    N. Godani and G. C. Samanta, Traversable wormholes supported by non-exotic matter in general relativity, New Astronomy84, 101534 (2021). 22

    work page 2021

  18. [18]

    W. Hong, J. Tao, and T. Zhang, Method of distinguishing between black holes and wormholes, Phys. Rev. D104, 124063 (2021)

    work page 2021

  19. [19]

    Furtado, C

    J. Furtado, C. R. Muniz, M. S. Cunha, and J. E. G. Silva, On quantum traversability of wormholes, International Journal of Modern Physics D32, 2350056 (2023)

    work page 2023

  20. [20]

    Plugge, E

    S. Plugge, E. Lantagne-Hurtubise, and M. Franz, Revival dynamics in a traversable wormhole, Phys. Rev. Lett. 124, 221601 (2020)

    work page 2020

  21. [21]

    J. L. Bl´ azquez-Salcedo, C. Knoll, and E. Radu, Traversable wormholes in einstein-dirac-maxwell theory, Phys. Rev. Lett.126, 101102 (2021)

    work page 2021

  22. [22]

    Maldacena, The large-n limit of superconformal field theories and supergravity, International Journal of Theo- retical Physics38, 1113 (1999)

    J. Maldacena, The large-n limit of superconformal field theories and supergravity, International Journal of Theo- retical Physics38, 1113 (1999)

    work page 1999

  23. [23]

    Cool horizons for entangled black holes

    J. Maldacena and L. Susskind, Cool horizons for en- tangled black holes, Fortsch. Phys.61, 781 (2013), arXiv:1306.0533 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  24. [24]

    Gharibyan and R

    H. Gharibyan and R. F. Penna, Are entangled particles connected by wormholes? evidence for the ER = EPR conjecture from entropy inequalities, Phys. Rev. D89, 066001 (2014)

    work page 2014

  25. [25]

    N. Bao, J. Pollack, and G. N. Remmen, Wormhole and entanglement (non-)detection in the er=epr cor- respondence, Journal of High Energy Physics2015, 10.1007/jhep11(2015)126 (2015)

    work page doi:10.1007/jhep11(2015)126 2015

  26. [26]

    G. N. Remmen, N. Bao, and J. Pollack, Entanglement conservation, er=epr, and a new classical area theorem for wormholes, Journal of High Energy Physics2016, 10.1007/jhep07(2016)048 (2016)

    work page doi:10.1007/jhep07(2016)048 2016

  27. [27]

    D.-C. Dai, D. Minic, D. Stojkovic, and C. Fu, Testing the ER = EPR conjecture, Phys. Rev. D102, 066004 (2020)

    work page 2020

  28. [28]

    Kain, Probing the connection between entangled parti- cles and wormholes in general relativity, Physical Review Letters131, 10.1103/physrevlett.131.101001 (2023)

    B. Kain, Probing the connection between entangled parti- cles and wormholes in general relativity, Physical Review Letters131, 10.1103/physrevlett.131.101001 (2023)

    work page doi:10.1103/physrevlett.131.101001 2023

  29. [29]

    Susskind, Copenhagen vs everett, teleportation, and er=epr: Copenhagen vs everett, teleportation, and er=epr, Fortschritte der Physik64, 551–564 (2016)

    L. Susskind, Copenhagen vs everett, teleportation, and er=epr: Copenhagen vs everett, teleportation, and er=epr, Fortschritte der Physik64, 551–564 (2016)

    work page 2016

  30. [30]

    ER=EPR, GHZ, and the Consistency of Quantum Measurements

    L. Susskind, ER=EPR, GHZ, and the Consistency of Quantum Measurements, Fortschritte der Physik64, 72 (2016), stanford Institute for Theoretical Physics, arXiv:1412.8483 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  31. [31]

    Maldacena, D

    J. Maldacena, D. Stanford, and Z. Yang, Diving into traversable wormholes, Fortschritte der Physik65, 10.1002/prop.201700034 (2017)

    work page doi:10.1002/prop.201700034 2017

  32. [32]

    P. Gao, D. L. Jafferis, and A. C. Wall, Traversable worm- holes via a double trace deformation, Journal of High Energy Physics2017, 10.1007/jhep12(2017)151 (2017)

    work page doi:10.1007/jhep12(2017)151 2017

  33. [33]

    Witten, Multi-trace operators, boundary condi- tions, and ads/cft correspondence (2002), arXiv:hep- th/0112258 [hep-th]

    E. Witten, Multi-trace operators, boundary condi- tions, and ads/cft correspondence (2002), arXiv:hep- th/0112258 [hep-th]

    work page arXiv 2002

  34. [34]

    Double-trace deformations, holography and the c-conjecture

    A. Allais, Double-trace deformations, holography and the c-conjecture, JHEP11(11), 040, arXiv:1007.2047 [hep- th]

    work page internal anchor Pith review Pith/arXiv arXiv 2047

  35. [35]

    Gao and D

    P. Gao and D. L. Jafferis, A traversable wormhole telepor- tation protocol in the syk model, Journal of High Energy Physics2021, 97 (2021)

    work page 2021

  36. [36]

    Maldacena and D

    J. Maldacena and D. Stanford, Remarks on the sachdev- ye-kitaev model, Phys. Rev. D94, 106002 (2016)

    work page 2016

  37. [37]

    Schuster, B

    T. Schuster, B. Kobrin, P. Gao, I. Cong, E. T. Khabi- boulline, N. M. Linke, M. D. Lukin, C. Monroe, B. Yoshida, and N. Y. Yao, Many-body quantum telepor- tation via operator spreading in the traversable wormhole protocol, Phys. Rev. X12, 031013 (2022)

    work page 2022

  38. [38]

    A. R. Brown, H. Gharibyan, S. Leichenauer, H. W. Lin, S. Nezami, G. Salton, L. Susskind, B. Swingle, and M. Walter, Quantum gravity in the lab. i. teleportation by size and traversable wormholes, PRX Quantum4, 010320 (2023)

    work page 2023

  39. [39]

    Nezami, H

    S. Nezami, H. W. Lin, A. R. Brown, H. Gharibyan, S. Leichenauer, G. Salton, L. Susskind, B. Swingle, and M. Walter, Quantum gravity in the lab. ii. teleportation by size and traversable wormholes, PRX Quantum4, 010321 (2023)

    work page 2023

  40. [40]

    Jafferis, A

    D. Jafferis, A. Zlokapa, J. D. Lykken, D. K. Kolch- meyer, S. I. Davis, N. Lauk, H. Neven, and M. Spiropulu, Traversable wormhole dynamics on a quantum processor, Nature612, 51 (2022)

    work page 2022

  41. [41]

    Kobrin, T

    B. Kobrin, T. Schuster, and N. Y. Yao, Comment on ”traversable wormhole dynamics on a quantum processor” (2023), arXiv:2302.07897 [quant-ph]

    work page arXiv 2023

  42. [42]

    B. Ahn, V. Jahnke, S.-E. Bak, and K.-Y. Kim, Traversable wormholes via a double trace deformation involvingu(1) conserved current operators, Phys. Rev. D109, 066016 (2024)

    work page 2024

  43. [43]

    Cheng and B

    G. Cheng and B. Swingle, Scrambling with conser- vation laws, Journal of High Energy Physics2021, 10.1007/jhep11(2021)174 (2021)

    work page doi:10.1007/jhep11(2021)174 2021

  44. [44]

    From AdS/CFT correspondence to hydrodynamics

    G. Policastro, D. T. Son, and A. O. Starinets, From AdS / CFT correspondence to hydrodynamics, JHEP09(-), 043, arXiv:hep-th/0205052

    work page internal anchor Pith review Pith/arXiv arXiv

  45. [45]

    C. P. Herzog, Sound of m theory, Physical Review D68, 10.1103/physrevd.68.024013 (2003)

    work page doi:10.1103/physrevd.68.024013 2003

  46. [46]

    X.-H. Ge, Y. Matsuo, F.-W. Shu, S.-J. Sin, and T. Tsukioka, Density dependence of transport coefficients from holographic hydrodynamics, Progress of Theoretical Physics120, 833–863 (2008)

    work page 2008

  47. [47]

    Matsuo, S.-J

    Y. Matsuo, S.-J. Sin, S. Takeuchi, T. Tsukioka, and C.-M. Yoo, Sound modes in holographic hydrodynamics for charged ads black hole, Nuclear Physics B820, 593 (2009)

    work page 2009

  48. [48]

    Skenderis, Lecture notes on holographic renormaliza- tion, Class

    K. Skenderis, Lecture notes on holographic renormaliza- tion, Class. Quant. Grav.19, 5849 (2002), arXiv:hep- th/0209067

    work page arXiv 2002

  49. [49]

    Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence

    S. de Haro, S. N. Solodukhin, and K. Skenderis, Holo- graphic reconstruction of space-time and renormalization in the AdS / CFT correspondence, Commun. Math. Phys. 217, 595 (2001), arXiv:hep-th/0002230

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  50. [50]

    P. K. Kovtun and A. O. Starinets, Quasinormal modes and holography, Phys. Rev. D72, 086009 (2005)

    work page 2005

  51. [51]

    AdS/CFT Duality User Guide

    M. Natsuume, Ads/cft duality user guide (2016), arXiv:1409.3575 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  52. [52]

    Karlsson, A

    R. Karlsson, A. Parnachev, V. Prilepina,et al., Thermal stress tensor correlators, ope and holography, Journal of High Energy Physics2022, 10.1007/JHEP09(2022)234 (2022)

    work page doi:10.1007/jhep09(2022)234 2022

  53. [53]

    S. d. Haro, Dual gravitons in ads4/cft3and the holo- graphic cotton tensor, Journal of High Energy Physics 2009, 042–042 (2009)

    work page 2009

  54. [54]

    Freivogel, D

    B. Freivogel, D. A. Galante, D. Nikolakopoulou, and A. Rotundo, Traversable wormholes in ads and bounds on information transfer, Journal of High Energy Physics 2020, 10.1007/jhep01(2020)050 (2020)

    work page doi:10.1007/jhep01(2020)050 2020

  55. [55]

    Iadanza, Physical Review B102, 10.1103/Phys- RevB.102.245404 (2020)

    J. Couch, S. Eccles, P. Nguyen, B. Swingle, and S. Xu, Speed of quantum information spreading in chaotic systems, Physical Review B102, 10.1103/phys- revb.102.045114 (2020). 23

    work page doi:10.1103/phys- 2020

  56. [56]

    S. H. Shenker and D. Stanford, Black holes and the butterfly effect, Journal of High Energy Physics2014, 10.1007/jhep03(2014)067 (2014)

    work page doi:10.1007/jhep03(2014)067 2014

  57. [57]

    D. A. Roberts, D. Stanford, and L. Susskind, Local- ized shocks, Journal of High Energy Physics2015, 10.1007/jhep03(2015)051 (2015)

    work page doi:10.1007/jhep03(2015)051 2015

  58. [58]

    D. A. Roberts and B. Swingle, Lieb-robinson bound and the butterfly effect in quantum field theories, Physi- cal Review Letters117, 10.1103/physrevlett.117.091602 (2016)

    work page doi:10.1103/physrevlett.117.091602 2016

  59. [59]

    Jahnke, Delocalizing entanglement of anisotropic black branes, Journal of High Energy Physics2018, 10.1007/jhep01(2018)102 (2018)

    V. Jahnke, Delocalizing entanglement of anisotropic black branes, Journal of High Energy Physics2018, 10.1007/jhep01(2018)102 (2018)

    work page doi:10.1007/jhep01(2018)102 2018

  60. [60]

    H. L. Prihadi, F. P. Zen, D. Dwiputra, and S. Ari- wahjoedi, Localized chaos due to rotating shock waves in kerr–ads black holes and their ultraspinning version, General Relativity and Gravitation56, 10.1007/s10714- 024-03275-z (2024)

    work page doi:10.1007/s10714- 2024

  61. [61]

    Wang and Z.-Y

    D. Wang and Z.-Y. Wang, Higher-spin localized shocks, Phys. Rev. D112, 066006 (2025)

    work page 2025

  62. [62]

    Recent developments in the holographic description of quantum chaos

    V. Jahnke, Recent developments in the holographic de- scription of quantum chaos (2019), arXiv:1811.06949 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  63. [63]

    J. N. Laia and D. Tong, A holographic flat band, Journal of High Energy Physics2011, 1 (2011)

    work page 2011

  64. [64]

    B. R. Iyer and A. Kumar, Note on the absence of massive fermion superradiance from a kerr black hole, Phys. Rev. D18, 4799 (1978)

    work page 1978

  65. [65]

    Martellini and A

    M. Martellini and A. Treves, Absence of superradiance of a dirac field in a kerr background, Phys. Rev. D15, 3060 (1977)

    work page 1977

  66. [66]

    Bilotta, A Traversable Wormhole from the Kerr Black Hole, arXiv e-prints 10.48550/arXiv.2304.07356 (2023), arXiv:2304.07356 [hep-th]

    R. Bilotta, A Traversable Wormhole from the Kerr Black Hole, arXiv e-prints 10.48550/arXiv.2304.07356 (2023), arXiv:2304.07356 [hep-th]

    work page doi:10.48550/arxiv.2304.07356 2023

  67. [67]

    Hartnoll, G

    S. Hartnoll, G. Horowitz, J. Kruthoff, and J. Santos, Div- ing into a holographic superconductor, SciPost Physics 10, 10.21468/scipostphys.10.1.009 (2021)

    work page doi:10.21468/scipostphys.10.1.009 2021

  68. [68]

    R.-G. Cai, C. Ge, L. Li, and R.-Q. Yang, Inside anisotropic black hole with vector hair, Journal of High Energy Physics2022, 10.1007/jhep02(2022)139 (2022)

    work page doi:10.1007/jhep02(2022)139 2022

  69. [69]

    Cai, M.-N

    R.-G. Cai, M.-N. Duan, L. Li, and F.-G. Yang, Towards classifying the interior dynamics of charged black holes with scalar hair, JHEP02(-), 169, arXiv:2312.11131 [gr- qc]

    work page arXiv

  70. [70]

    H. L. Prihadi, D. Dwiputra, F. Khairunnisa, and F. P. Zen, Scrambling in charged hairy black holes and the kasner interior, The European Physical Journal C85, 10.1140/epjc/s10052-025-14625-9 (2025)

    work page doi:10.1140/epjc/s10052-025-14625-9 2025

  71. [71]

    H. L. Prihadi, R. R. Firdaus, F. Khairunnisa, D. Dwipu- tra, and F. P. Zen, Stationary solution to charged hairy black hole in ads4: Kasner interior, rotating shock waves, and fast scrambling, The European Physical Journal C 85, 10.1140/epjc/s10052-025-14979-0 (2025)

    work page doi:10.1140/epjc/s10052-025-14979-0 2025

  72. [72]

    Y. Xu, L. Li, and W.-J. Li, Black hole interiors of ho- mogeneous holographic solids under shear strain (2025), arXiv:2511.00877 [hep-th]

    work page arXiv 2025

  73. [73]

    Malvimat and R

    V. Malvimat and R. R. Poojary, Fast scrambling due to rotating shockwaves in btz, Physical Review D105, 10.1103/physrevd.105.126019 (2022)

    work page doi:10.1103/physrevd.105.126019 2022

  74. [74]

    H. L. Prihadi, F. P. Zen, D. Dwiputra, and S. Ari- wahjoedi, Chaos and fast scrambling delays of a dy- onic kerr-sen-ads black hole and its ultraspinning version, Physical Review D107, 10.1103/physrevd.107.124053 (2023)

    work page doi:10.1103/physrevd.107.124053 2023

  75. [75]

    M. Z. Djogama, M. F. A. R. Sakti, F. P. Zen, and M. Sa- triawan, Near-extremal kerr-like eco in the kerr/cft cor- respondence in higher spin perturbations, The European Physical Journal C84, 10.1140/epjc/s10052-024-13121- w (2024)

    work page doi:10.1140/epjc/s10052-024-13121- 2024

  76. [76]

    Sato and J

    K. Sato and J. Yokoyama, Inflationary cosmology: First 30+ years, International Journal of Modern Physics D 24, 1530025 (2015), review Paper

    work page 2015

  77. [77]

    Chang, X

    Z. Chang, X. Zhang, and J.-Z. Zhou, Gravitational waves from primordial scalar and tensor perturbations, Physical Review D107, 10.1103/physrevd.107.063510 (2023)

    work page doi:10.1103/physrevd.107.063510 2023

  78. [78]

    Betzios and O

    P. Betzios and O. Papadoulaki, Inflationary cosmology from anti-de sitter wormholes, Phys. Rev. Lett.133, 021501 (2024)

    work page 2024

  79. [79]

    Cavallo, F

    A. Cavallo, F. Cosenza, and L. De Cesare, Two-time green’s functions and spectral density method in nonex- tensive quantum statistical mechanics, Phys. Rev. E77, 051110 (2008)

    work page 2008

  80. [80]

    Hsiang, H.-T

    J.-T. Hsiang, H.-T. Cho, and B.-L. Hu, Graviton physics: A concise tutorial on the quantum field theory of gravi- tons, graviton noise, and gravitational decoherence, Uni- verse10, 306 (2024)

    work page 2024