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1

Katanaev, M. O. "Passing the Einstein–Rosen bridge." Modern Physics Letters A 29, no. 17 (2014): 1450090. http://dx.doi.org/10.1142/s0217732314500904.

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A test particle moving along geodesic line in a spacetime has three physical propagating degrees of freedom and one unphysical gauge degree. We relax the requirement of geodesic completeness of a spacetime. Instead, we require test particles trajectories to be smooth and complete only for physical degrees of freedom. Test particles trajectories for Einstein–Rosen bridge are proved to be smooth and complete in the physical sector, and particles can freely penetrate the bridge in both directions.
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2

Balbinot, R. "Crossing the Einstein-Rosen bridge." Lettere Al Nuovo Cimento Series 2 43, no. 2 (1985): 76–80. http://dx.doi.org/10.1007/bf02747062.

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3

Dokuchaev, V. I., and K. E. Prokopev. "GENERALIZED EINSTEIN – ROSEN BRIDGE INSIDE BLACK HOLES." Журнал экспериментальной и теоретической физики 165, no. 6 (2024): 800–806. http://dx.doi.org/10.31857/s0044451024060063.

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4

Guendelman, Eduardo, Alexander Kaganovich, Emil Nissimov, and Svetlana Pacheva. "Einstein–Rosen “bridge” needs lightlike brane source." Physics Letters B 681, no. 5 (2009): 457–62. http://dx.doi.org/10.1016/j.physletb.2009.10.062.

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5

Popławski, Nikodem J. "Radial motion into an Einstein–Rosen bridge." Physics Letters B 687, no. 2-3 (2010): 110–13. http://dx.doi.org/10.1016/j.physletb.2010.03.029.

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6

Naschie, Mohamed S. El. "Einstein-Rosen Bridge (ER), Einstein-Podolsky-Rosen Experiment (EPR) and Zero Measure Rindler-KAM Cantorian Spacetime Geometry (ZMG) Are Conceptually Equivalent." Journal of Quantum Information Science 06, no. 01 (2016): 1–9. http://dx.doi.org/10.4236/jqis.2016.61001.

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7

Lobo, Francisco S. N. "From the Flamm–Einstein–Rosen bridge to the modern renaissance of traversable wormholes." International Journal of Modern Physics D 25, no. 07 (2016): 1630017. http://dx.doi.org/10.1142/s0218271816300172.

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We consider the possibility of multiply-connected spacetimes, ranging from the Flamm–Einstein–Rosen bridge, geons, and the modern renaissance of traversable wormholes. A fundamental property in wormhole physics is the flaring-out condition of the throat, which through the Einstein field equation entails the violation of the null energy condition (NEC). In the context of modified theories of gravity, it has also been shown that the normal matter can be imposed to satisfy the energy conditions, and it is the higher order curvature terms, interpreted as a gravitational fluid, that sustain these n
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8

BEREZIN, V. A., V. A. KUZMIN, and I. I. TKACHEV. "O(3)-INVARIANT PROCESSES AT FALSE VACUUM DECAY IN GENERAL RELATIVITY." International Journal of Modern Physics A 05, no. 24 (1990): 4639–59. http://dx.doi.org/10.1142/s0217751x90001951.

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We derived a general formula for the action for O(3)-invariant tunneling processes at false vacuum decay in general relativity. A general classification of bubble shell Euclidean trajectories is elaborated and explicit expressions for bounces for a number of processes like spontaneous vacuum creation of a double bubble (in particular in the vicinity of a black hole), subbarrier creation of the Einstein-Rosen bridge, tunneling of a black hole to the state of a wormhole, creation from nothing of two Minkowski worlds connected by a shell, etc., are given.
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Joshi, Amrit Prasad, and Kamal Sharma. "The Interplay of Fantasy and Physics in King’s The Dark Tower: The Gunslinger: A Physicist’s Perspective." SCHOLARS: Journal of Arts & Humanities 6, no. 2 (2024): 102–9. http://dx.doi.org/10.3126/sjah.v6i2.68744.

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The paper aims to explore the existence of many worlds and their interconnections in Stephen King’s The Dark Tower: The Gunslinger. It draws on theoretical physicist Brian Greene’s concept of parallel universes. It also draws on the theoretical concept of Albert Einstein and Nathan Rosen as they have discussed in ‘Einstein-Rosen Bridge Theory’. This theory is commonly known as wormholes that connect different regions of space-time, enabling the journey from one world to another and back. Greene's theoretical underpinnings, proposing a vast ensemble of universes with distinct properties, find e
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10

GUENDELMAN, EDUARDO, ALEXANDER KAGANOVICH, EMIL NISSIMOV, and SVETLANA PACHEVA. "SPHERICALLY SYMMETRIC AND ROTATING WORMHOLES PRODUCED BY LIGHTLIKE BRANES." International Journal of Modern Physics A 25, no. 07 (2010): 1405–28. http://dx.doi.org/10.1142/s0217751x10047762.

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Lightlike p-branes (LL-branes) with dynamical (variable) tension allow simple and elegant Polyakov-type and dual to it Nambu–Goto-like worldvolume action formulations. Here we first briefly describe the dynamics of LL-branes as test objects in various physically interesting gravitational backgrounds of black hole type, including rotating ones. Next we show that LL-branes are the appropriate gravitational sources that provide proper matter energy–momentum tensors in the Einstein equations of motion needed to generate traversable wormhole solutions, in particular, self-consistent cylindrical rot
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11

ELLIS, HOMER G. "EINSTEIN'S REAL "BIGGEST BLUNDER"." International Journal of Modern Physics D 21, no. 11 (2012): 1242022. http://dx.doi.org/10.1142/s0218271812420229.

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Albert Einstein's real "biggest blunder" was not the 1917 introduction into his gravitational field equations of a cosmological constant term Λ, rather was his failure in 1916 to distinguish between the entirely different concepts of active gravitational mass and passive gravitational mass. Had he made the distinction, and followed David Hilbert's lead in deriving field equations from a variational principle, he might have discovered a true (not a cut and paste) Einstein–Rosen bridge and a cosmological model that would have allowed him to predict, long before such phenomena were imagined by ot
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12

De Raedt, H., M. I. Katsnelson, and K. Michielsen. "Quantum theory as plausible reasoning applied to data obtained by robust experiments." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2068 (2016): 20150233. http://dx.doi.org/10.1098/rsta.2015.0233.

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We review recent work that employs the framework of logical inference to establish a bridge between data gathered through experiments and their objective description in terms of human-made concepts. It is shown that logical inference applied to experiments for which the observed events are independent and for which the frequency distribution of these events is robust with respect to small changes of the conditions under which the experiments are carried out yields, without introducing any concept of quantum theory, the quantum theoretical description in terms of the Schrödinger or the Pauli eq
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13

Tiwari, S. C. "Anomalous magnetic moment and vortex structure of the electron." Modern Physics Letters A 33, no. 31 (2018): 1850180. http://dx.doi.org/10.1142/s0217732318501808.

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The electron magnetic moment decomposition calculated in QED is proposed to have origin in a multi-vortex internal structure of the electron. This proposition is founded on two important contributions of this work. First, a critical review on Weyl model of electron, Einstein–Rosen bridge and Wheeler’s wormholes leads to a new idea of a topological defect in cylindrical spacetime geometry as a natural representation of the electron. A concrete realization of this idea in terms of the derivation of a new vortex-metric, and its physical interpretation to establish the geometric origin of the elec
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14

Harikant, Aruna, Sanjeevan Singha Roy, and Deep Bhattacharjee. "Computing the temporal intervals by making a Throne-Morris wormhole from a Kerr black hole in the context of f(R,T) gravity." International Journal of Scientific Research and Management 9, no. 07 (2021): 72–92. http://dx.doi.org/10.18535/ijsrm/v9i07.aa01.

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In the paper we will proceed towards taking the larger root of and make it equal to zero to remove the event horizon of a Kerr black hole (BH) in Boyer-Lindquist coordinates with a prevalent ring type singularity that can be smoothen by a tunneling approach of a spherinder thereby proceeding safely towards the Cauchy horizon with the deduced intervals computed in detail for the time travel in the Throne-Morris wormhole (WH) approach under gravity without the presence of any exotic matter at the WH mouth thereby preserving the asymptotically solutions of flaring out conditions and mouth opening
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15

Majumder, Bivash, Maxim Khlopov, Saibal Ray, and Goutam Manna. "Geodesic Structure of Generalized Vaidya Spacetime through the K-Essence." Universe 9, no. 12 (2023): 510. http://dx.doi.org/10.3390/universe9120510.

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This article investigates the radial and non-radial geodesic structures of the generalized K-essence Vaidya spacetime. Within the framework of K-essence geometry, it is important to note that the metric does not possess conformal equivalence to the conventional gravitational metric. This study employs a non-canonical action of the Dirac–Born–Infeld kind. In this work, we categorize the generalized K-essence Vaidya mass function into two distinct forms. Both the forms of the mass functions have been extensively utilized to analyze the radial and non-radial time-like or null geodesics in great d
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16

Seefeld, Florian. "EPR Paradox, Einstein-Rosen bridges and teleportation." McGill Science Undergraduate Research Journal 16, no. 1 (2021): 74–81. http://dx.doi.org/10.26443/msurj.v16i1.64.

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In this review, we go over the bases of quantum teleportation, ER bridges in General relativity, and the foundational work on the hypothesis ER=EPR and summarize the resulting wormhole teleportation protocol. We then discuss that − resulting from ER=EPR − certain wormholes have to be either traversable or at the very least let information permeate, resulting in the exploration of the possibility that incoming matter might change the metric outside of wormhole throats. In this study, made in the Schwarzschild metric with the original coordinate system, we managed to find a non-zero energy-momen
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17

Zafiris, Elias, and Albrecht von Müller. "The “ER = EPR” Conjecture and Generic Gravitational Properties: A Universal Topological Linking Model of the Correspondence between Tripartite Entanglement and Planck-Scale Wormholes." Universe 8, no. 3 (2022): 189. http://dx.doi.org/10.3390/universe8030189.

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The “ER = EPR” conjecture, conceived by Maldacena and Susskind, is grounded on the notion that a gravitational theory in the bulk is dual to the corresponding quantum field theory on the boundary in accordance to the AdS/CFT correspondence. The conjecture pertains to the idea that Einstein-Rosen (ER) spacetime bridges and Einstein-Podolsky-Rosen (EPR) quantum entanglement may be considered as dually equivalent. Since ER bridges refer to the connectivity between black holes, the “ER = EPR” conjecture implies that black holes connected by ER bridges are entangled, and conversely, that entangled
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18

Shatskii, A. A. "Einstein-Rosen bridges and the characteristic properties of gravitational lensing by them." Astronomy Reports 48, no. 7 (2004): 525–33. http://dx.doi.org/10.1134/1.1777271.

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19

Nakao, Ken-ichi, Kazuhiro Yamamoto, and Kei-ichi Maeda. "The apparent horizons of Einstein-Rosen bridges in the space-time with a cosmological constant." Vistas in Astronomy 37 (January 1993): 453–56. http://dx.doi.org/10.1016/0083-6656(93)90073-s.

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20

Alsaleh, Salwa, and Lina Alasfar. "ER = EPR and non-perturbative action integrals for quantum gravity." International Journal of Geometric Methods in Modern Physics 14, no. 10 (2017): 1750138. http://dx.doi.org/10.1142/s0219887817501389.

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In this paper, we construct and calculate non-perturbative path integrals in a multiply-connected spacetime. This is done by summing over homotopy classes of paths. The topology of the spacetime is defined by Einstein–Rosen bridges (ERB) forming from the entanglement of quantum foam described by virtual black holes. As these “bubbles” are entangled, they are connected by Planckian ERBs because of the [Formula: see text] conjecture. Hence, the spacetime will possess a large first Betti number [Formula: see text]. For any compact 2-surface in the spacetime, the topology (in particular the homoto
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21

Viennot, David. "Fuzzy Schwarzschild (2 + 1)-spacetime." Journal of Mathematical Physics 63, no. 8 (2022): 082302. http://dx.doi.org/10.1063/5.0091364.

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We present a toy model of a fuzzy Schwarzschild space slice (as a noncommutative manifold), in which quantum mean values and quantum quasi-coherent states (states minimizing the quantum uncertainties) have properties close to the classical slice of ( r, θ) Schwarzschild coordinates (the so-called Flamm’s paraboloid). This fuzzy Schwarzschild slice is built as a deformation of the noncommutative plane. Quantum time observables are introduced to add a time quantization in the model. We study the structure of the quasi-coherent state of the fuzzy Schwarzschild slice with respect to the quasi-cohe
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22

Yershov, Vladimir N. "Elliptical Space with the McVittie Metrics." Universe 10, no. 4 (2024): 165. http://dx.doi.org/10.3390/universe10040165.

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The main feature of elliptical space—the topological identification of its antipodal points—could be fundamental for understanding the nature of the cosmological redshift. The physical interpretation of the mathematical (topological) structure of elliptical space is made by using physical connections in the form of Einstein-Rosen bridges (also called “wormholes”). The Schwarzschild metric of these structures embedded into a dynamic (expanding) spacetime corresponds to McVittie’s solution of Einstein’s field equations. The cosmological redshift of spectral lines of remote sources in this metric
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23

Jusufi, Kimet, Emmanuel Moulay, Jonas Mureika, and Ahmed Farag Ali. "Einstein-Rosen bridge from the minimal length." European Physical Journal C 83, no. 4 (2023). http://dx.doi.org/10.1140/epjc/s10052-023-11465-3.

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AbstractWe use a string T-duality corrected pair of regular black holes to construct an Einstein-Rosen (ER) bridge with the wormhole throat proportional to the zero-point (Planck) length. This may be a geometric realization of quantum entanglement for particle/antiparticle pairs. We point out that for an extreme mass configuration consisting of a black hole pair, one can have an ER bridge with a horizon area that coincides with the Bekenstein minimal area bound along with a wormhole mass proportional to the Planck mass. This could be related to gravitational self-completeness with quantum mech
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24

Mirjalali, Mirmani, Seyed Ali Hosseini Mansoori, Leila Shahkarami, and Morteza Rafiee. "Probing inside a charged hairy black hole in massive gravity." Journal of High Energy Physics 2022, no. 9 (2022). http://dx.doi.org/10.1007/jhep09(2022)222.

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Abstract In this paper, we investigate the internal structure of a charged hairy black hole solution in the non-linear massive gravity. We first consider the impact of various configurations of massive gravity on the condensate operator and then probe the black hole interior dynamics. Like a standard holographic superconductor system, just below the critical temperature, the interior evolves through several distinct epochs, including a collapse of the Einstein-Rosen bridge, Josephson oscillations of the scalar field, and finally a Kasner (or Kasner inversion) cosmology. However, for the large
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25

Liu, Yan, and Hong-Da Lyu. "Interior of helical black holes." Journal of High Energy Physics 2022, no. 9 (2022). http://dx.doi.org/10.1007/jhep09(2022)071.

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Abstract We study the interior structure of five dimensional neutral helical black holes in Einstein gravity and charged helical black holes in Einstein-Maxwell gravity. Inside the neutral helical black holes, the systems evolve to a stable spacelike Kasner singularity. The metric field related to the helical deformation strength exhibits oscillation behavior close to the horizon at low temperature and small helical deformation strength. Inside the charged helical black holes, we show that the inner Cauchy horizon can not exist. The systems also evolve from the horizon to a stable Kasner singu
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26

Banerjee, Souvik, Pablo Basteiro, Rathindra Nath Das, and Moritz Dorband. "Geometric quantum discord signals non-factorization." Journal of High Energy Physics 2023, no. 8 (2023). http://dx.doi.org/10.1007/jhep08(2023)104.

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Abstract We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-v
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27

Gao, Ling-Long, Yan Liu, and Hong-Da Lyu. "Internal structure of hairy rotating black holes in three dimensions." Journal of High Energy Physics 2024, no. 1 (2024). http://dx.doi.org/10.1007/jhep01(2024)063.

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Abstract We construct hairy rotating black hole solutions in three dimensional Einstein gravity coupled to a complex scalar field. When we turn on a real and uniform source on the dual CFT, the black hole is stationary with two Killing vectors and we show that there is no inner horizon for the black hole and the system evolves smoothly into a Kasner universe. When we turn on a complex and periodic driving source on the dual CFT with a phase velocity equal to the angular velocity of the black hole, we have a time-dependent black hole with only one Killing vector. We show that inside the black h
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28

Iizuka, Norihiro, Akihiro Miyata, and Tomonori Ugajin. "A comment on a fine-grained description of evaporating black holes with baby universes." Journal of High Energy Physics 2022, no. 9 (2022). http://dx.doi.org/10.1007/jhep09(2022)158.

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Abstract We study a partially fine-grained description of an evaporating black hole by introducing an open baby universe with a boundary. Since the Page’s calculation of the entropy of Hawking radiation involves an ensemble average over a class of states, one can formally obtain a fine-grained state by purifying this setup. For AdS black holes with a holographic dual, this purification amounts to introducing an additional boundary (i.e., baby universe) and then connecting it to the original black hole through an Einstein-Rosen bridge. We uncover several details of this setup. As applications,
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29

Brown, Adam R., Hrant Gharibyan, Geoff Penington, and Leonard Susskind. "The Python’s Lunch: geometric obstructions to decoding Hawking radiation." Journal of High Energy Physics 2020, no. 8 (2020). http://dx.doi.org/10.1007/jhep08(2020)121.

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Abstract According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole — specifically to the exponential of
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30

Hartnoll, Sean A., Gary T. Horowitz, Jorrit Kruthoff, and Jorge E. Santos. "Gravitational duals to the grand canonical ensemble abhor Cauchy horizons." Journal of High Energy Physics 2020, no. 10 (2020). http://dx.doi.org/10.1007/jhep10(2020)102.

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Abstract The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes — for example Reissner- Nordström-AdS — can have Cauchy horizons that render the classical gravitational dynamics of the black hole interior incomplete. We show that a (spatially uniform) deformation of the CFT by a neutral scalar operator generically leads to a black hole with no inner horizon. There is instead a spacelike Kasner singularity in the interior. For relevant deformations, Cauchy horizons never form. For certain irrelevant deformations, Cauchy h
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31

Hartnoll, Sean, Gary Horowitz, Jorrit Kruthoff, and Jorge Santos. "Diving into a holographic superconductor." SciPost Physics 10, no. 1 (2021). http://dx.doi.org/10.21468/scipostphys.10.1.009.

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Charged black holes in anti-de Sitter space become unstable to forming charged scalar hair at low temperatures T < T_\text{c}T<Tc. This phenomenon is a holographic realization of superconductivity. We look inside the horizon of these holographic superconductors and find intricate dynamical behavior. The spacetime ends at a spacelike Kasner singularity, and there is no Cauchy horizon. Before reaching the singularity, there are several intermediate regimes which we study both analytically and numerically. These include strong Josephson oscillations in the condensate and possible `Kasner in
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32

Carballo, Javier, Ayan K. Patra, and Juan F. Pedraza. "Diving inside holographic metals." Journal of High Energy Physics 2025, no. 5 (2025). https://doi.org/10.1007/jhep05(2025)072.

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Abstract We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an electron cloud, undergo a holographic renormalization group flow. The inner (Cauchy) horizon is destroyed and the near-singularity metric instead adopts the form of a positive-p t Kasner cosmology, signaling the collapse of the Einstein-Rosen bridge. Previous studies have suggested that this collap
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33

An, Yu-Sen, Li Li, Fu-Guo Yang, and Run-Qiu Yang. "Interior structure and complexity growth rate of holographic superconductor from M-theory." Journal of High Energy Physics 2022, no. 8 (2022). http://dx.doi.org/10.1007/jhep08(2022)133.

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Abstract We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation o
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34

Goto, Kanato, Yuya Kusuki, Kotaro Tamaoka, and Tomonori Ugajin. "Product of random states and spatial (half-)wormholes." Journal of High Energy Physics 2021, no. 10 (2021). http://dx.doi.org/10.1007/jhep10(2021)205.

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Abstract We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total
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35

Yeom, Dong-han. "Two faces of Hawking radiation and thin-shell emission: pair-creation vs. tunneling." SciPost Physics Proceedings, no. 4 (August 13, 2021). http://dx.doi.org/10.21468/scipostphysproc.4.004.

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We first revisit Hartle and Hawking’s path integral derivation of Hawking radiation. In the first point of view, we interpret that a particle-antiparticle pair is created and the negative energy antiparticle falls into the black hole. On the other point of view, a particle inside the horizon, or beyond the Einstein-Rosen bridge, tunnels to outside the horizon, where this computation requires the analytic continuation of the time. These two faces of the Hawking radiation process can be extended to not only particles but also fields. As a concrete example, we study the thin-shell tunneling proce
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36

Myers, Robert C., Shan-Ming Ruan, and Tomonori Ugajin. "Double holography of entangled universes." Journal of High Energy Physics 2024, no. 7 (2024). http://dx.doi.org/10.1007/jhep07(2024)035.

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Abstract We employ double holography to examine a system of two entangled gravitating universes that live on two codimension-one branes in an asymptotically AdS3 spacetime with two disjoint conformal boundaries. There are distinct brane configurations depending on the temperature of the thermofield double (TFD) state between the left and right systems. The topology transition between two branes is naturally identified with the emergence of an Einstein-Rosen bridge connecting the two entangled universes. This doubly holographic construction offers a holographic perspective on gravitational coll
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37

Boruch, Jan, Henry W. Lin, and Cynthia Yan. "Exploring supersymmetric wormholes in $$ \mathcal{N} $$ = 2 SYK with chords." Journal of High Energy Physics 2023, no. 12 (2023). http://dx.doi.org/10.1007/jhep12(2023)151.

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Abstract A feature the $$ \mathcal{N} $$ N = 2 supersymmetric Sachdev-Ye-Kitaev (SYK) model shares with extremal black holes is an exponentially large number of ground states that preserve supersymmetry. In fact, the dimension of the ground state subsector is a finite fraction of the total dimension of the SYK Hilbert space. This fraction has a remarkably simple bulk interpretation as the probability that the zero-temperature wormhole — a supersymmetric Einstein-Rosen bridge — has vanishing length. Using chord techniques, we compute the zero-temperature Hartle-Hawking wavefunction; the results
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38

Van de Moortel, Maxime. "Violent Nonlinear Collapse in the Interior of Charged Hairy Black Holes." Archive for Rational Mechanics and Analysis 248, no. 5 (2024). http://dx.doi.org/10.1007/s00205-024-02038-z.

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AbstractWe construct a new one-parameter family, indexed by $$\epsilon $$ ϵ , of two-ended, spatially-homogeneous black hole interiors solving the Einstein–Maxwell–Klein–Gordon equations with a (possibly zero) cosmological constant $$\Lambda $$ Λ and bifurcating off a Reissner–Nordström-(dS/AdS) interior ($$\epsilon =0$$ ϵ = 0 ). For all small $$\epsilon \ne 0$$ ϵ ≠ 0 , we prove that, although the black hole is charged, its terminal boundary is an everywhere-spacelike Kasner singularity foliated by spheres of zero radius r. Moreover, smaller perturbations (i.e. smaller $$|\epsilon |$$ | ϵ | )
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39

Goto, Kanato, Ali Mollabashi, Masahiro Nozaki, Kotaro Tamaoka, and Mao Tian Tan. "Information scrambling versus quantum revival through the lens of operator entanglement." Journal of High Energy Physics 2022, no. 6 (2022). http://dx.doi.org/10.1007/jhep06(2022)100.

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Abstract In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially compact manifolds as the quantum state returns to its initial state which is a phenomenon known as quantum revival. We find that in CFTs such as the free fermion CFT, the operator mutual information exhibits quantum revival in accordance with the relativistic propagation of quasiparticles while in holographic CFTs, the operator mutual information doe
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40

Cai, Rong-Gen, Chenghu Ge, Li Li, and Run-Qiu Yang. "Inside anisotropic black hole with vector hair." Journal of High Energy Physics 2022, no. 2 (2022). http://dx.doi.org/10.1007/jhep02(2022)139.

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Abstract We study the internal structure of anisotropic black holes with charged vector hairs. Taking advantage of the scaling symmetries of the system, some radially conserved charges are found via the extension of the Noether theorem. Then, a general proof of no inner horizon of these black holes is presented and the geometry ends at a spacelike singularity. Before reaching the singularity, we find several intermediate regimes both analytically and numerically. In addition to the Einstein-Rosen bridge contracting towards the singularity, the instability triggered by the vector hair results i
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41

Jafferis, Daniel Louis, and Elliot Schneider. "Stringy ER = EPR." Journal of High Energy Physics 2022, no. 10 (2022). http://dx.doi.org/10.1007/jhep10(2022)195.

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Abstract The ER = EPR correspondence relates a superposition of entangled, disconnected spacetimes to a connected spacetime with an Einstein-Rosen bridge. We construct examples in which both sides may be described by weakly-coupled string theory. The relation between them is given by a Lorentzian continuation of the FZZ duality of the two-dimensional Euclidean black hole CFT in one example, and in another example by continuation of a similar duality that we propose for the asymptotic Euclidean AdS3 black hole. This gives a microscopic understanding of ER = EPR: one has a worldsheet duality bet
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42

Baiguera, Stefano, and Rotem Berman. "The cosmological switchback effect. Part II." Journal of High Energy Physics 2024, no. 8 (2024). http://dx.doi.org/10.1007/jhep08(2024)086.

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Abstract Recent developments in static patch holography proposed that quantum gravity in de Sitter space admits a dual description in terms of a quantum mechanical theory living on a timelike surface near the cosmological horizon. In parallel, geometric observables associated with the Einstein-Rosen bridge of a black hole background were suggested to compute the computational complexity of the state dual to a gravitational theory. In this work, we pursue the study of the complexity=volume and complexity=action conjectures in a Schwarzschild-de Sitter geometry perturbed by the insertion of a sh
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43

Mansoori, Seyed Ali Hosseini, Li Li, Morteza Rafiee, and Matteo Baggioli. "What’s inside a hairy black hole in massive gravity?" Journal of High Energy Physics 2021, no. 10 (2021). http://dx.doi.org/10.1007/jhep10(2021)098.

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Abstract In the context of massive gravity theories, we study holographic flows driven by a relevant scalar operator and interpolating between a UV 3-dimensional CFT and a trans-IR Kasner universe. For a large class of scalar potentials, the Cauchy horizon never forms in presence of a non-trivial scalar hair, although, in absence of it, the black hole solution has an inner horizon due to the finite graviton mass. We show that the instability of the Cauchy horizon triggered by the scalar field is associated to a rapid collapse of the Einstein-Rosen bridge. The corresponding flows run smoothly t
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44

Iliesiu, Luca V., Adam Levine, Henry W. Lin, Henry Maxfield, and Márk Mezei. "On the non-perturbative bulk Hilbert space of JT gravity." Journal of High Energy Physics 2024, no. 10 (2024). http://dx.doi.org/10.1007/jhep10(2024)220.

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Abstract What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter state, but with a non-trivial and highly degenerate inner product. We explicitly identify the null states, and discuss their importance for defining operators non-perturbatively. To highlight the power of the formalism we developed, we study the non-perturbative effects for two bulk linear
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45

Lin, Henry W., and Douglas Stanford. "A symmetry algebra in double-scaled SYK." SciPost Physics 15, no. 6 (2023). http://dx.doi.org/10.21468/scipostphys.15.6.234.

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The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions and their interaction number to infinity in a coordinated way. In this limit, two entangled copies of the SYK model have a bulk description of sorts known as the “chord Hilbert space”. We analyze a symmetry algebra acting on this Hilbert space, generated by the two Hamiltonians together with a two-sided operator known as the chord number. This algebra is a deformation of the JT gravitational algebra, and it contains a subalgebra that is a deformation of the \mathfrak{sl}_2𝔰𝔩2 near-horizon symmetries. The
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46

Auzzi, Roberto, Stefano Bolognesi, Eliezer Rabinovici, Fidel I. Schaposnik Massolo, and Gianni Tallarita. "On the time dependence of holographic complexity for charged AdS black holes with scalar hair." Journal of High Energy Physics 2022, no. 8 (2022). http://dx.doi.org/10.1007/jhep08(2022)235.

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Abstract In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordström black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1, 2]. We study the time-dependence of holographic complexity, both for the volume and for the action proposals, in a class of models with hairy black holes. Volume complexity can only probe a portion of the black hole interior that remains far away from the Kasner singularity. We provide numerical evidence that the Lloyd bound is satisfied by the volume complexity rate i
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47

Antonini, Stefano, Brianna Grado-White, Shao-Kai Jian, and Brian Swingle. "Holographic measurement in CFT thermofield doubles." Journal of High Energy Physics 2023, no. 7 (2023). http://dx.doi.org/10.1007/jhep07(2023)014.

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Abstract We extend the results of arXiv:2209.12903 by studying local projective measurements performed on subregions of two copies of a CFT2 in the thermofield double state and investigating their consequences on the bulk double-sided black hole holographic dual. We focus on CFTs defined on an infinite line and consider measurements of both finite and semi-infinite subregions. In the former case, the connectivity of the bulk spacetime is preserved after the measurement. In the latter case, the measurement of two semi-infinite intervals in one CFT or of one semi-infinite interval in each CFT ca
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48

Chamon, Claudio, Andrei E. Ruckenstein, Eduardo R. Mucciolo, and Ran Canetti. "Circuit complexity and functionality: A statistical thermodynamics perspective." Proceedings of the National Academy of Sciences 122, no. 23 (2025). https://doi.org/10.1073/pnas.2415913122.

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Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational concept in computer science. Determining circuit complexity is believed to be a hard computational problem. Recently, in the context of black holes, circuit complexity has been promoted to a physical property, wherein the growth of complexity is reflected in the time evolution of the Einstein-Rosen bridge (“wormhole”) connecting the two sides of an anti-de Sitter “eternal” black hole. Here, we are motivated by an independent set of considerations and explore lin
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49

Yu Juan, Zhang Yan, Wu Yin-Hua, Yang Wen-Hai, Yan Zhi-Hui, and Jia Xiao-Jun. "Experimental demonstration on the quantum coherence evolution of two-mode squeezed state." Acta Physica Sinica, 2022, 0. http://dx.doi.org/10.7498/aps.72.20221923.

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As one of the most remarkable features of quantum mechanics, quantum coherence is regarded as an important quantum resource in the quantum information processing. The one-mode squeezed state and the two-mode squeezed state (Einstein-Podolsky-Rosen entangled states) as the most representative examples of nonclassical states both have quantum coherence. The squeezing property of the squeezed state is described by the variance of quadrature components and the positive partial transposition (PPT) criterion is applied to describe the entanglement of the EPR entangled states. The research of the qua
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50

Javarone, Marco Alberto. "Low-temperature holographic screens correspond to einstein-rosen bridges." General Relativity and Gravitation 56, no. 12 (2024). https://doi.org/10.1007/s10714-024-03328-3.

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