Surface/state correspondence and Happily, as Susskind and his colleagues observed1 in 1995, nature seemed to sidestep any such violation by making it impossible to see both copies at once: an observer who remains outside the horizon cannot communicate with one who has fallen in.
Imagine an object floating somewhere outside the black hole.
Complexity of the Einstein-Born-Infeld-massive black holes.
Corresponding Author. AGORA, HINARI, OARE, INASP, CrossRef and COUNTER. According to general relativity, Susskind and Maldacena noted, two black holes can be many light years apart yet still have their interiors connected by a space-time tunnel known as a wormhole. Maldacena, J.
The 74-year-old Susskind, a theorist at Stanford University in California, has long been a leader in efforts to unify quantum mechanics with the general theory of relativity â Albert Einstein's framework for gravity. D 52, 6997 (1995). Holographic interpretation of Shannon entropy of coherence of quantum pure states. The text has been corrected to reflect this. Topological invariants of the Ryu-Takayanagi (RT) surface used to observe holographic superconductor phase transition.
. Susskind is the first to admit that such ideas by themselves are only provocative suggestions; they do not make up a fully fledged theory.
Operator approach to complexity: Excited states.
âI regard what they did as one of the more remarkable syntheses of physics and computer science that I've seen in my career,â he says. Furthermore, Susskind noticed, the computational complexity tends to grow with time. © 2019 Macmillan Publishers Limited, part of Springer Nature. Evolutions of entanglement and complexity after a thermal quench in massive gravity theory. Holographic complexity under a global quantum quench. If AMPS's theory is true, says Raphael Bousso, a theoretical physicist at the University of California, Berkeley, âthis is a terrible blow to general relativityâ. Universal pieces of holographic entanglement entropy and holographic subregion complexity. The full text of this article hosted at iucr.org is unavailable due to technical difficulties. For the best commenting experience, please login or register as a user and agree to our Community Guidelines.
As Aaronson puts it, âthe black hole's interior is protected by an armour of computational complexityâ. But not everyone is convinced. . Simulating lattice gauge theories within quantum technologies. In this addendum to [arXiv:1402.5674] two points are discussed. Authors: Adam R. Brown, Daniel A. Roberts, Leonard Susskind, Brian Swingle, Ying Zhao. Circuit complexity for generalized coherent states in thermal field dynamics. Learn more. But in 2012, four physicists at the University of California, Santa Barbara â Ahmed Almheiri, Donald Marolf, Joseph Polchinski and James Sully, known collectively as AMPS â spotted a dangerous exception to this rule2.
Yet this two-way flow could violate a key law of quantum mechanics known as the no-cloning theorem, which dictates that making a perfect copy of quantum information is impossible. Chaotic Strings in Leonard Susskind. When physicist Leonard Susskind gives talks these days, he often wears a black T-shirt proclaiming âI ⥠Complexityâ.
61, 781–811 (2013).
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They found a scenario in which an observer could decode the information in the radiation, jump into the black hole and then compare that information with its forbidden duplicate on the way down. The quest for the elusive unified theory has led him to advocate counter-intuitive ideas, such as superstring theory or the concept that our three-dimensional Universe is actually a two-dimensional hologram. In general we find that while creating firewalls is possible, it is extremely difficult and probably impossible for black holes that form in sudden collapse, and then evaporate.
The relation between growth of complexity and Page's “Extreme Cosmic Censorship” principle is also remarked on.
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