Physics Bets, and Conversations with John
Transcript of Physics Bets, and Conversations with John
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Preskill FestCaltech, 15 March 2013
Kip
Physics Bets, and Conversations with John
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1971 Bet : Yakov Borisovich Zel’dovich
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A Spinning Black Holewill radiate all types of
particles
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• In water’s frame, ⇠ ⇠ exp[ik(x� vt)]
• Air’s (primed) frame, x = x
0+ V t so
⇠ ⇠ exp[ik(x
0 � (v � V )t]
• If V > v, then
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What Zel’dovich Knew That I Did Not
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Air
Waterv = (wave speed seen by water)
V = (water speed seen by air)
2π/k
* wave is dragged upstream by water* wave frequency has opposite sign in water frame and air frame* wave energy is positive in water frame, negative in air frame* sound waves in air: radiation reaction amplifies waves* incoming sound waves drive water waves, which amplify sound waves
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• Incoming EM waves with E ⇠ exp[i(m�� !t)]• In sphere’s (primed) frame � = �0
+ ⌦t soE ⇠ exp[im�� i(! �m⌦)t)]
• If m⌦ > !, then
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Rotating, electrically conducting sphere
* wave frequency has opposite sign in sphere’s and inertial frames
* energy of sphere’s currents > 0 as seen by sphere, < 0 in inertial frame
* incoming waves are amplified by sphere
Ω
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Zel’dovich’s Two Big Leaps Similarly, a spinning black hole must amplify incoming
classical waves ... and also incoming Fermion fields Incoming vacuum fluctuations will get amplified,
producing real particles - a spinning black hole will spontaneously radiate
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JETP Letters, 14, 180 (1971)
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Our Bet
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✦ Earnest Hemingway’s White Horse Scotch
✦ The Best Georgian Cognac
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1973 - Hawking & I to Moscow Zel’dovich showed Stephen his argument
Stephen went home and thought
1974: Stephen demonstrated that all black holes, rotating or nonrotating, must radiate all types of particles - Hawking Radiation
I conceded my bet to Zel’dovich
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Larry Smarr, 1971: Embedding Diagram for Horizon of a Kerr Black Hole
Bet with Chandrasekhar:Black-Hole Stability
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Chandrasekhar visiting Caltech
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onset ofinstability
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1973: Bill Press and Saul Teukolsky» numerical computation of eigenfrequencies of
quasinormal modes for l=2, l=3 and all m. » No sign of instability
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1988
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How Physicists’ Minds Work
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Chandrasekhar Zel’dovich
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How Physicists’ Minds Work
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Bet with Hawking: Is Cygnus X-1 a Black Hole?
1971
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1974-75 Stephen at Caltech
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1990
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1983: John moved to Caltech
1988: Feynman Died
1990: Mike Scott
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April 8-11, 1991 Trying to Recruit Stephen for Feynman Professorship
September/October 1991 - Stephen’s first visit
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September 24, 1991
Bet: Cosmic Censorship
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Six years later: 1997
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Matt Choptuik: Scalar-Wave Implosion
ψp
MBH / (p� p⇤)� , � ' 0.374
p > p⇤ : Black hole forms
scalar wave’s energy generates spacetime curvature, then wave interacts with the curvature
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p < p⇤ : Wave disperses�R↵���R
↵�����1/4
max
/ (p� p⇤)�
Organized Frothing
Discretely self-similarp = p⇤ :NAKED SINGULARITY
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The value of science bets
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RenewedBet
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Black-Hole Information Loss 1974-75: Hawking at Caltech
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VladimirBraginsky Kip Don
Page SandorKovacs
Carlton Caves
Kip
SteveSlutz Stephen David Lee
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Black-Hole Information Loss 1974-75: Hawking at Caltech
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*Retooling - to work on quantum gravity
*Trying to understand implications of Hawking radiation
*Information Loss!! Pure state evolves to mixed state
Great trouble getting hispaper through the referees!
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1975 - 1997 Two communities; two different views -
» Particle theory roots: Hamiltonian-based QM sacred; requires unitary evolution; no information loss
» Relativity roots [my version]: Why worry? Feynman path integral formulation can handle non-unitary evolution (Hartle Gell-Mann)
– if include histories with CTCs in path integral, it will have to be nonunitary.
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1997(the day after our renewed cosmic censorship bet)
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Seven Years Later Stephen caved in»Motivated largely (I think) by Maldacena
work In some (very few) histories, black hole
does not form» information gets out via those histories
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GRG Conference in Dublin, Ireland: 21 July 2004combined lecture, press conference, & bet signoff
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I have not conceded. Why?
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AMPS Firewall Conundrum
Southwest 3756, OAK - BUR February 22
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My Prime Source of Wisdom1968 - 1988
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1988 -*Chronology protection*Standard quantum limit *quantum nondemolition for LIGO
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Chronology Protection
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with Sung-Won Kim
*How strong is the divergence?*Will back-action destroy the wormhole before semiclassical theory fails?
*How affected by supersymmetry?*How universal?
h0|T renµ⌫ |0i diverges at Fountain F
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• Using Feynman path integrals, one can evolve quantum fields across a Chronology horizon, into and through a region with closed timelike curves (e.g. Hartle 1996), BUT
• The evolution is nonunitary (e.g. Politzer 1992) and pure states evolve into mixed states (e.g. Cassidy 1994)
• Nevertheless, probabilities are conserved
• But the two-point function is singular for free scalar field at some points on any compactly generated Chronology horizon (Kay, Radzikowski & Wald 1997)
A few highlights of subsequent research
Excellent review: Friedman & Higuchi, arXiv:0801.0735
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Thankyou, John!
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