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ER = EPR

ER = EPR is a conjecture in physics stating that two entangled particles (a so-called Einstein–Podolsky–Rosen or EPR pair) are connected by a wormhole (or Einstein–Rosen bridge)[1][2] and is thought by some to be a basis for unifying general relativity and quantum mechanics into a theory of everything.[1]

Overview edit

The conjecture was proposed by Leonard Susskind and Juan Maldacena in 2013.[3] They proposed that a wormhole (Einstein–Rosen bridge or ER bridge) is equivalent to a pair of maximally entangled black holes. EPR refers to quantum entanglement (EPR paradox).

The symbol is derived from the first letters of the surnames of authors who wrote the first paper on wormholes (Albert Einstein and Nathan Rosen)[4] and the first paper on entanglement (Einstein, Boris Podolsky and Rosen).[5] The two papers were published in 1935, but the authors did not claim any connection between the concepts.[2]

Conjectured resolution edit

This is a conjectured resolution to the AMPS firewall paradox. Whether or not there is a firewall depends upon what is thrown into the other distant black hole. However, as the firewall lies inside the event horizon, no external superluminal signalling would be possible.

This conjecture is an extrapolation of the observation by Mark Van Raamsdonk[6] that a maximally extended AdS-Schwarzschild black hole, which is a non-traversable wormhole, is dual to a pair of maximally entangled thermal conformal field theories via the AdS/CFT correspondence.

They backed up their conjecture by showing that the pair production of charged black holes in a background magnetic field leads to entangled black holes, but also, after Wick rotation, to a wormhole.

Susskind and Maldacena envisioned gathering up all the Hawking particles and smushing them together until they collapse into a black hole. That black hole would be entangled, and thus connected via wormhole, with the original black hole. That trick transformed a confusing mess of Hawking particles—paradoxically entangled with both a black hole and each other—into two black holes connected by a wormhole. Entanglement overload is averted, and the firewall problem goes away.

— Andrew Grant, "Entanglement: Gravity's long-distance connection", Science News[7]

This conjecture sits uncomfortably with the linearity of quantum mechanics. An entangled state is a linear superposition of separable states. Presumably, separable states are not connected by any wormholes, but yet a superposition of such states is connected by a wormhole.[8]

The authors pushed this conjecture even further by claiming any entangled pair of particles—even particles not ordinarily considered to be black holes, and pairs of particles with different masses or spin, or with charges which aren't opposite—are connected by Planck scale wormholes.

The conjecture leads to a grander conjecture that the geometry of space, time and gravity is determined by entanglement.[2][9][10]

References edit

  1. ^ a b Staff (2016). "This New Equation Could Unite The Two Biggest Theories in Physics". futurism.com. Retrieved May 19, 2017.
  2. ^ a b c Cowen, Ron (16 November 2015). "The quantum source of space-time". Nature. 527 (7578): 290–3. Bibcode:2015Natur.527..290C. doi:10.1038/527290a. PMID 26581274. S2CID 4447880.
  3. ^ Maldacena, Juan; Susskind, Leonard (2013). "Cool horizons for entangled black holes". Fortschritte der Physik. 61 (9): 781–811. arXiv:1306.0533. Bibcode:2013ForPh..61..781M. doi:10.1002/prop.201300020. S2CID 119115470.
  4. ^ Einstein, A.; Rosen, N. (1 July 1935). "The Particle Problem in the General Theory of Relativity". Physical Review. 48 (1): 73–77. Bibcode:1935PhRv...48...73E. doi:10.1103/PhysRev.48.73.
  5. ^ Einstein, A.; Podolsky, B.; Rosen, N. (15 May 1935). "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?". Physical Review (Submitted manuscript). 47 (10): 777–780. Bibcode:1935PhRv...47..777E. doi:10.1103/PhysRev.47.777.
  6. ^ van Raamsdonk, Mark (2010). "Building up space-time with quantum entanglement". International Journal of Modern Physics D. 42 (14): 2323–2329. arXiv:1005.3035. Bibcode:2010IJMPD..19.2429V. CiteSeerX 10.1.1.694.9818. doi:10.1142/S0218271810018529.
  7. ^ Grant, Andrew (7 October 2015). "Entanglement: Gravity's long-distance connection". ScienceNews. Retrieved 6 May 2018.
  8. ^ "Entangled universe: Could wormholes hold the cosmos together?". Medium. 2016-03-13. Retrieved 2017-05-20.
  9. ^ Susskind, Leonard (2016). "Copenhagen vs Everett, Teleportation, and ER = EPR". Fortschritte der Physik. 64 (6–7): 551–564. arXiv:1604.02589. Bibcode:2016ForPh..64..551S. doi:10.1002/prop.201600036. S2CID 13896453. If we believe in the ambitious form of ER = EPR, this implies the presence of an Einstein–Rosen bridge connecting the superposed wave packets for a single particle.
  10. ^ Sean M. Carroll (July 18, 2016). "Space Emerging from Quantum Mechanics". A related notion is the ER = EPR conjecture of Maldacena and Susskind, relating entanglement to wormholes. In some sense, we're making this proposal a bit more specific, by giving a formula for distance as a function of entanglement.

External links edit

  • Susskind, Leonard. "ER = EPR" or "What's Behind the Horizons of Black Holes?". Stanford Institute for Theoretical Physics. November. 4, 2014.

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ER EPR is a conjecture in physics stating that two entangled particles a so called Einstein Podolsky Rosen or EPR pair are connected by a wormhole or Einstein Rosen bridge 1 2 and is thought by some to be a basis for unifying general relativity and quantum mechanics into a theory of everything 1 Contents 1 Overview 1 1 Conjectured resolution 2 References 3 External linksOverview editThe conjecture was proposed by Leonard Susskind and Juan Maldacena in 2013 3 They proposed that a wormhole Einstein Rosen bridge or ER bridge is equivalent to a pair of maximally entangled black holes EPR refers to quantum entanglement EPR paradox The symbol is derived from the first letters of the surnames of authors who wrote the first paper on wormholes Albert Einstein and Nathan Rosen 4 and the first paper on entanglement Einstein Boris Podolsky and Rosen 5 The two papers were published in 1935 but the authors did not claim any connection between the concepts 2 Conjectured resolution edit This is a conjectured resolution to the AMPS firewall paradox Whether or not there is a firewall depends upon what is thrown into the other distant black hole However as the firewall lies inside the event horizon no external superluminal signalling would be possible This conjecture is an extrapolation of the observation by Mark Van Raamsdonk 6 that a maximally extended AdS Schwarzschild black hole which is a non traversable wormhole is dual to a pair of maximally entangled thermal conformal field theories via the AdS CFT correspondence They backed up their conjecture by showing that the pair production of charged black holes in a background magnetic field leads to entangled black holes but also after Wick rotation to a wormhole Susskind and Maldacena envisioned gathering up all the Hawking particles and smushing them together until they collapse into a black hole That black hole would be entangled and thus connected via wormhole with the original black hole That trick transformed a confusing mess of Hawking particles paradoxically entangled with both a black hole and each other into two black holes connected by a wormhole Entanglement overload is averted and the firewall problem goes away Andrew Grant Entanglement Gravity s long distance connection Science News 7 This conjecture sits uncomfortably with the linearity of quantum mechanics An entangled state is a linear superposition of separable states Presumably separable states are not connected by any wormholes but yet a superposition of such states is connected by a wormhole 8 The authors pushed this conjecture even further by claiming any entangled pair of particles even particles not ordinarily considered to be black holes and pairs of particles with different masses or spin or with charges which aren t opposite are connected by Planck scale wormholes The conjecture leads to a grander conjecture that the geometry of space time and gravity is determined by entanglement 2 9 10 References edit a b Staff 2016 This New Equation Could Unite The Two Biggest Theories in Physics futurism com Retrieved May 19 2017 a b c Cowen Ron 16 November 2015 The quantum source of space time Nature 527 7578 290 3 Bibcode 2015Natur 527 290C doi 10 1038 527290a PMID 26581274 S2CID 4447880 Maldacena Juan Susskind Leonard 2013 Cool horizons for entangled black holes Fortschritte der Physik 61 9 781 811 arXiv 1306 0533 Bibcode 2013ForPh 61 781M doi 10 1002 prop 201300020 S2CID 119115470 Einstein A Rosen N 1 July 1935 The Particle Problem in the General Theory of Relativity Physical Review 48 1 73 77 Bibcode 1935PhRv 48 73E doi 10 1103 PhysRev 48 73 Einstein A Podolsky B Rosen N 15 May 1935 Can Quantum Mechanical Description of Physical Reality Be Considered Complete Physical Review Submitted manuscript 47 10 777 780 Bibcode 1935PhRv 47 777E doi 10 1103 PhysRev 47 777 van Raamsdonk Mark 2010 Building up space time with quantum entanglement International Journal of Modern Physics D 42 14 2323 2329 arXiv 1005 3035 Bibcode 2010IJMPD 19 2429V CiteSeerX 10 1 1 694 9818 doi 10 1142 S0218271810018529 Grant Andrew 7 October 2015 Entanglement Gravity s long distance connection ScienceNews Retrieved 6 May 2018 Entangled universe Could wormholes hold the cosmos together Medium 2016 03 13 Retrieved 2017 05 20 Susskind Leonard 2016 Copenhagen vs Everett Teleportation and ER EPR Fortschritte der Physik 64 6 7 551 564 arXiv 1604 02589 Bibcode 2016ForPh 64 551S doi 10 1002 prop 201600036 S2CID 13896453 If we believe in the ambitious form of ER EPR this implies the presence of an Einstein Rosen bridge connecting the superposed wave packets for a single particle Sean M Carroll July 18 2016 Space Emerging from Quantum Mechanics A related notion is the ER EPR conjecture of Maldacena and Susskind relating entanglement to wormholes In some sense we re making this proposal a bit more specific by giving a formula for distance as a function of entanglement External links editSusskind Leonard ER EPR or What s Behind the Horizons of Black Holes Stanford Institute for Theoretical Physics November 4 2014 Retrieved from https en wikipedia org w index php title ER 3D EPR amp oldid 1218768623, wikipedia, wiki, book, books, library,

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