Slashdot Mirror


Famous Hawking Black Hole Bet Resolved?

Mick Ohrberg writes "In 1997 the three cosmologists Stephen Hawking, Kip Thorne and John Preskill made a famous bet as to whether information that enters a black hole ceases to exist -- that is, whether the interior of a black hole is changed at all by the characteristics of particles that enter it. It now looks like Stephen Hawking and Kip Thorne may owe John Preskill a set of encyclopedias of his choice, since physicists at Ohio State University 'have derived an extensive set of equations that strongly suggest that the information continues to exist -- bound up in a giant tangle of strings that fills a black hole from its core to its surface.'"

26 of 400 comments (clear)

  1. Hawking radiation by Space+cowboy · · Score: 5, Informative

    Steven had posited in the 70's that the black holes leak (Hawking radiation), but the paradox is that they radiate a 'black-body' spectrum (entirely thermal radiation) in inverse proportion to their mass (so as they get smaller, the radiation increases). The problem here is that all the information went in, but it's very difficult to infer information from a black-body radiated spectrum (!). Steven therefore thinks that information is lost forever.

    The article though is a bit hand-wavy over why the information is preserved in this new theory... (I guess Nth dimensional maths doesn't appeal to the reporter :-). I don't think the fact that the string-theory radius matches the black-hole radius is sufficient to prove the case, though it's an interesting pointer, a curious coincidence if indeed it is such ...

    Effectively this is a conjecture - if the strings continue to exist, then they'd have the same size as the black hole appears to have. The throwaway statement " That means a black hole can be traced back to its original conditions, and information survives." seems a bit of a stretch though :-)

    Simon

    --
    Physicists get Hadrons!
    1. Re:Hawking radiation by CAlworth1 · · Score: 5, Informative

      IANATP (theoretical physicist), but I think I may be able to shed a bit of light on the last question.

      As I understand it, the idea is that the particle and the anti-particle come into being at the same place, moving in different dirrectsion, and the anti-particle is more prone to being pulled in somehow due it its being the opposite of the other mass in the black hole. The particle escapes, generating the black-body radiation, and the anti-particle enters the black whole and collides with a corresponding particle, leaving existance as the original particles came into existance - messed up I know.

      If anyone is curious, (stolen from The Universe in a Nutshell by Stephen Hawking, the temp of a black hole is

      Temp = (h * c^3)/(8 * pi * k * G * M)

      where h is planck's constant, c is the speed of light, G is Newton's gravitational constant, k is Boltzman's costant,T is temp, and M is the mass of the black hole.

    2. Re:Hawking radiation by imsabbel · · Score: 3, Informative

      Well, you are mostly right.
      BUT:
      If an anti-particle enters the black hole, it LOSES mass. So its a process in which energy is emitted outside of the event horizon and the mass inside the event horizon is decreased. That no mass actually transfered out of the black hole is only a semantic problem (like tunneling, ect).

      I cant really speak about the asymetry that enables this process, because its a few years about my quantum physics level, but it could be possible.

      Btw: There are theories that the resulting radiation isnt REALLY blackbody radiation, but only "shaped" like BR, but with an "overlayed" information contend.

      --
      HI O WISE PRINCE. WHT TOOK U SO DAM LONG?
    3. Re:Hawking radiation by nihilogos · · Score: 4, Informative
      The article though is a bit hand-wavy over why the information is preserved in this new theory...

      The abstract from the NPB article is

      • It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends to the 3-charge extremal system, we construct a perturbation on the D1-D5 geometry that carries one unit of momentum charge P. The perturbation is found to be regular everywhere and normalizable, so we conclude that at least this state of the 3-charge system behaves like the 2-charge states. The solution is constructed by matching (to several orders) solutions in the inner and outer regions of the geometry. We conjecture the general form of `hair' expected for the 3-charge system, and the nature of the interior of black holes in general.


      If your institution is a subscriber you can get the full text from here

      --
      :wq
    4. Re:Hawking radiation by ralphclark · · Score: 5, Informative
      Because the escapeing particle was never in the event horizon to begin with, it can contain no information from within the black hole.

      Except that the pair of virtual particles are an entangled pair and if one catches the escaped one and measures its quantum state, one then knows the quantum state of the one that fell in. Catch enough of them and you know about an appreciable fraction of the black hole (in theory!)

      Now, how the black hole doesn't gain mass from the anti-particle I'm not quite sure

      The energy that was used to create the virtual pair came from the black hole's gravitational field, thus robbing the hole temporarily of mass. For each "virtual" particle that escapes as Hawking radiation, that mass is lost permanently so the mass of the hole goes down, over time. Now remember that this loss can only happen at the event horizon; if the black hole is very large, the tidal force (the gravity gradient) at the event horizon will be weak and thus the rate of particle loss will be very low. For very small black holes the tidal force at the event horizon will be enormous and almost all virtual pairs close to the boundary will separate in this way.

      So large black holes will simmer coldly, shrinking only with glacial slowness if at all, and small ones will be hot and shrink very rapidly indeed - finally disappearing altogether in an brief, intense burst of radiation, according to Hawking's theory.

    5. Re:Hawking radiation by krlynch · · Score: 4, Informative

      Now, how the black hole doesn't gain mass from the anti-particle I'm not quite sure...

      The black hole doesn't gain mass, because the particle that fell in has negative energy. Remember, you can't create energy from nowhere, but you can "borrow" some from the vacuum temporarily ... that's where the virtual pairs come from. They borrow energy from the vacuum, which they have to give back after a time (roughly) Delta T < hbar/E, where E is the energy of the particle pair.

      Now, if one half of the pair falls across the event horizon, it isn't coming back. The particle that escapes the hole becomes "real" because it has no one to annihilate with, so it carries off energy E/2. But since you can't yank energy out of the vacuum indefinitely, the particle that fell in had to be carrying energy -E/2 ... which isn't a problem, because it isn't a "real" particle, so it's energy need not be consistent with your expectations from freshman physics.

      So, where does that energy E/2 that goes into the escaping particle come from? The only place it can: the black hole. Remember, a negative amount of energy fell in. So the hole has to lose some mass in the process. Which is why we say that the black hole "emits" particles.

      The mathematical details are, of course, much nastier than that, but that's the gist of things...

    6. Re:Hawking radiation by rpresser · · Score: 4, Informative

      You misunderstand.

      A particle and an antiparticle both have a positive mass. The "virtual particle" mechanism means that for periods of times short enough, the measurement of the space right outside the hole is uncertain enough that there "might" be a pair of antiparticles there. So they are there. While they're there, one of them falls into the hole - it doesn't matter which one - while the other gains potential energy from its mate falling in, and escapes. Yaay.

      But you can't get something from nothing. Some mass escaped from the vicinity of the hole, so some mass has to disappear from the vicinity of the hole. So the hole loses mass.

      How's that for handwavy?

    7. Re:Hawking radiation by Anonymous Coward · · Score: 2, Informative

      First, virtual pairs are created due to Heisenberg Uncertainty Principle (Et>=h/4pi variant) even in absence of any gravitational field.


      Yeah, but they're virtual. You need a horizon to produce real particles from the vacuum.


      Second, if a virtual pair can rob black hole temporarily, what mechanism prevents it doing so permanently creating a real p -p pair?


      Energy conservation. It works with horizons, because horizons allow one real particle to acquire a positive energy relative to an external observer, and the other (the one that falls in) to acquire a counterbalancing negative energy relative to that same observer -- the fact that the horizon separates the infalling particle from the observer is what allows the particle to have negative energy. The net energy remains zero. If there's no horizon, that can't happen.
    8. Re:Hawking radiation by Sivaram_Velauthapill · · Score: 2, Informative

      So, once the object goes past the event horizon, it's being accellerated _faster_ than the speed of light toward the center of the black hole.

      I'm not an astrophysist but I think that's wrong. I don't think anything is accelerated beyond the speed of light--even within a black hole!!! Can someone else shed some light on this? I don't see why something would pass speed of light inside a black hole...

      ... on the event horizon as physics breaks down.

      I think that is not correct either. Physics does NOT break down at the event horizon (from what I know). Rather, physics breaks down at the singularity deep within the black hole. I think the event horizon is well understood. (Actually you may mean something else--in which case you would be right. You are correct if you say that Newtonian Physics breaks down at the event horizon. However, Einstein's Relativity Theory can be used at the event horizon. However, inside the singularity, everything breaks down. We* need quantum gravity, which merges quatum physics and relativity. We haven't developed quatum gravity yet).

      Having said that, we don't know what happens inside the black hole. Since nothing can escape, we have practically no observational evidence of anything inside. So all we have are theories.

      BTW, someone correct me if I'm wrong in any of this. I am not 100% sure either--since I'm not in the field :(

      (* When I say 'we', I'm talking about humanity. I'm not saying *I* am part of this whole thing. I never even took physics in university :| )

      Sivaram Velauthapillai

      --
      Sivaram Velauthapillai
      Seeking the meaning of life... @slashdot of all places ;)
    9. Re:Hawking radiation by Scott+Carnahan · · Score: 2, Informative

      The black hole doesn't gain mass, because the particle that fell in has negative energy. Remember, you can't create energy from nowhere, but you can "borrow" some from the vacuum temporarily ... that's where the virtual pairs come from.

      The virtual particle approach to Hawking radiation seems to be more of a perturbative approximation that has caught on in the popular press than a reasonable description of reality. It may be more natural to describe the radiation in terms of the Unruh effect, which predicts a thermal spectrum around uniformly accelerating bodies - quasistationary objects near the event horizon are bathed in thermal radiation, and this is gravitationally redshifted as it propagates to the distant observer.

      This avoids the rather cumbersome notions of negative energy and virtual particles which people tend to find counterintuitive. I have a recent post here which gives some relevant information and links.

      --
      "Your notation sucks!" -- Serge Lang (1927-2005)
    10. Re:Hawking radiation by Scott+Carnahan · · Score: 2, Informative

      As I understand it, the idea is that the particle and the anti-particle come into being at the same place, moving in different dirrectsion, and the anti-particle is more prone to being pulled in somehow due it its being the opposite of the other mass in the black hole.

      Unfortunately for your theory, particles and antiparticles behave essentially identically near a heavy object, so neither type is favored and (assuming the particle description of the mechanism is accurate - which it isn't) you can expect an equal number of particles and antiparticles to fall in. At least, Hawking's calculations didn't take your proposed mechanism into account.

      The particle escapes, generating the black-body radiation, and the anti-particle enters the black whole and collides with a corresponding particle, leaving existance as the original particles came into existance - messed up I know.

      If an antiparticle were to enter a black hole, it would add to the mass. If it were to collide with a corresponding particle whilst in transit, there would be some kind of radiation released into the hole, conserving total mass-energy. The perturbative explanation people like to give explains the mass theft in terms of the particle-antiparticle pair "borrowing" energy from the vacuum in order to exist, and the event horizon splitting them before they can recombine, causing the energy debt to be furnished by the black hole.

      --
      "Your notation sucks!" -- Serge Lang (1927-2005)
    11. Re:Hawking radiation by dillon_rinker · · Score: 2, Informative

      "Proof" #1:
      a=b+c (step 1) implies that a-b-c=0
      Thus the division that occurs between step 5 and step 6 is division by zero.

      "Proof" #2:
      Step 4 - (I've an interest in mathematical vocabulary and notation, so this makes me curious. In the US we call this the "binomial" formula. What's your nationality?)
      In going from step 4 to step 5, you are misapplying the following theorem:

      If x>0 and y>0, and if x^2=y^2, then x=y.

      Clearly in step 4, the expression on the right-hand side of the equality is negative. There is no other theorem that lets you "take the square root of both sides of an equation.

      [/pedant]

  2. Re:status of string theory by illuvata · · Score: 3, Informative

    string theory does not predict anything that could be tested, so there is nno evidence for/against it.
    this is also why quite a few people feel its more philosphy than science

  3. Re: encyclopaediae by Raul654 · · Score: 2, Informative
    --


    To make laws that man cannot, and will not obey, serves to bring all law into contempt.
    --E.C. Stanton
  4. Re:Simple question maybe by benna · · Score: 5, Informative

    Why not consult Official String Theory Web site :)

    --
    "It is not how things are in the world that is mystical, but that it exists." -Ludwig Wittgenstein
  5. I'm sure the bet will be collected... by BigBadBus · · Score: 1, Informative

    when Professor Hawking is released from hospital following a recent health scare...and also when the police have finished their investigation into who has been abusing and torturing him for months now.

    Paul

  6. Re:It was a Playboy subscription... by kfg · · Score: 3, Informative

    Here is an actual reproduction of the bet document you are thinking of:

    Hawking/Thorne bet

    Ain' the web grand?

    Yeah, Stephen lost that one. Word has it that Kip's wife was a bit miffed about the payoff.

    KFG

  7. Re:Simple question maybe by Anonymous Coward · · Score: 2, Informative

    Look here for a series of clips discussing the string theory, the 'M' theory, and a lot of stuff that led up to it.

  8. Re:Almost - wrong bet though by frozen_kangaroo · · Score: 3, Informative
    I was pretty sure that it wasn't encyclopediae either ! (it was though.) For the truth about hawking's wagers see here (6th paragraph down):

    In 1975, he bet Kip Thorne a subscription to Penthouse (the loser would get it mailed to his home) that a celestial mystery named Cygnus X-1 would turn out to be a black hole.

  9. Re:Is it me by be-fan · · Score: 2, Informative

    I think the point is that while you may be able to understand physics, at an abstract level, can you understand it at a concrete level? Our real world experience is mainly a matter of the concrete. Things we can see, and touch, and hear. I drop something, it falls down. I push something, it moves, etc. Physics, however, is completely abstract. You can't see an atom --- you can't even visualize what it would look like if you could see it. The only way to truely understand it is to understand the mathematical model of it. But even when you have that understanding, you don't have something equivilent to your real world experiences. You still can't see it.

    --
    A deep unwavering belief is a sure sign you're missing something...
  10. Re:status of string theory by Anonymous Coward · · Score: 5, Informative

    Responding as I am taking a string theory course from Prof. Zwiebach here at MIT ...

    String theory certainly does predict a number of things that are easily testable ... just not right now. For instance, compactified extra dimensions (as SR includes) introduce additional energy terms to simple quantum problems (i.e. "particle in a box" problems, and SHOs). The problem is that these effects are very large; ergo, the energies necessitated to test these theories are somewhat higher than we can accomplish.

    Yes, it's a theory, yes it's kinda off-the-wall and feels a bit contrived, but, studying it, I gotta say that it's pretty if nothing else. It's elegant enough and compelling enough - in terms of what it promises to explain - that it's worth following until it's found to actually be wrong.

    A quantum theory of gravity might not be so motivating to you, but if you're a physicist, it's worth trying something wonky to get to it. (Speaking of which, Quantum Loop Gravity - also very wonky - is awesome).

    And, as for "quite a few people" finding it too philosophical ... well, quite a few people aren't physicists. *shrugs*

  11. Re:Is it me by wass · · Score: 4, Informative
    ike they're so determined to make something make sense, they blindly look for something that'll fit the problem, even if it's obvious that it's probably not right

    I actually recently responded to a similar accusation against physicsists, and you can read my reply here . That response has more examples listed of 'kludges' in physics, but I'll talk about a few in more depth in this post.

    What you've just described is known as phenomenology. In other words, trying to come up with some sort of basic theory to match the given data. Examples include Planck's original quantizing of radiation into discrete quanta, which turned out to be right. Another example is the Landau theory of 2nd-order phase transitions, where one builds a power-series expansion of the free energy in powers of something called the 'order parameter'. This is a total hack, but in many cases can adequately describe phase transitions (including superconductivity).

    In fact, there are many kinds of physics theories, some termed 'macroscopic' in which case they're phenomonoligical, and describe what's going on, but don't adequately describe the 'physics' of the system. Then there's the microscopic theories that talk specifically about particle interactions, and follow directly from quantum mechanics, statistical mechanics, E&M, etc. The goal is to make these two approaches mesh.

    For example, superconductivity could be described fairly well using the Ginzberg-Landau expansion, where the order parameter described above is complex, instead of real. Many things can be described this way, including Josephson Junctions and fluxoid quantization of superconducting loops. (Ginzberg just won the Nobel Prize in physics in 2003. Landau, if he were still alive, would have probably won it too, and it would have been his 2nd physics nobel prize). This approach worked fairly well, but physicists weren't sure why that was.

    But then in 1957 Bardeen/Cooper/Schrieffer came up with the BCS theory of superconductivity, which explicitly describes how the electrons can pair up into Cooper pairs. Electrons want to repel, but in the right crystal lattice an electron-phonon-electron interaction (ie, a local distortion of the lattice) can produce an attractive interaction. BCS describe how this attraction comes about, how the energy gap forms, and how the electron pairs can carry a resistanceless supercurrent. BCS won the Nobel Prize in Physics in 1972.

    This was microscopic vs macroscopic development of superconductivity. Two years later, physicist Gor'kov was able to show that the Ginzberg-Landau theory comes as a limiting case of the BCS theory. Hence, microscopic meets macroscopic, and everybody's happy.

    So yes, physicists do look for something to fit the problem, but they don't just stop there. They also try to make those hacks or kludges match up directly from physical laws of the universe. That's what physics is about.

    --

    make world, not war

  12. Re:I've often wondered if... by Anonymous Coward · · Score: 1, Informative

    Consider an extreme case, two black holes merging. Assume before they "see" each other, that their event horizons are spherical. As they approach each other, they feel each other's gravitional pull. The opposing pull has the effect of lessening the gravity at each BH's surface because the signs are reversed. As a result, the event horizon on each BH shrinks a bit.


    The event horizon of a black hole cannot shrink, except in the case of Hawking radiation, which is completely negligible for any stellar-sized black hole. In particular, if you put two black holes close to each other, their horizons will deform and grow in size. They will emit a bunch of gravitational (not Hawking) radiation in the process, because the final merged black hole is not as big as the sum of the two original holes (as measured in area).
  13. Re:Some questions from a non-physicist by Anonymous Coward · · Score: 2, Informative

    Tunneling effect - a particle has a certain chance of overcoming a potential barrier even if it doesn't have enough energy to do so. Why can't a particle from within a black hole escape it similarly?


    Real particles can't tunnel outside the light cone (faster than light), which is what would be necessary to get out of the horizon. If you're talking about the vacuum production picture of Hawking radiation, there is a sense in which it can be interpreted in terms of tunneling.


    Accumulation of mass/energy. What exactly prevents a black hole from exploding, after accumulating enough mass - what makes them so stable?


    Why should it explode? There is no limit to how much mass a black hole can contain. The more mass you dump in, the bigger it gets.


    Is it possible that the Big-Bang was an explosion of a huge black hole ?


    Not really.


    If a half of a quantum-entagled (EPR) pair enters the event horizon, can it somehow be used as a "probe" ?


    No. Quantum entanglement can't be used to transmit information, regardless of whether there is a black hole around.

    See also sections 9, 10, and 11 of this FTL FAQ.
  14. Re:Wait a second..? by maxwell+demon · · Score: 3, Informative
    The very foundation of this shrinking black hole theory depends on this mind boggling mass.

    This is where your mistake lies. The very foundation of the black hole is in it's mind boggling mass density. The absolute mass is important only in formation, because with too little mass gravitational forces are not able to compress matter enough to create the black hole.

    You could get a black hole (complete with event horizon and Hawking radiation) by compressing earth into a radius less than about 9mm. Indeed, the less mass a black hole has, the smaller it is, and the larger the space curvature is on it's event horizon. Therefore all effects coming from space curvature are stronger for them, which also includes Hawking radiation. This especially means that finally black holes "explode": the more it radiates, the faster it gets smaller, and therefore it radiates even more in even shorter time scales, until it radiated it's complete mass away.

    Of course, as soon as the black hole gets down to a size near the planck length (a mindboggling small length where quantum gravity effects are huge), we already know that all semiclassical reasoning must fail, therefore we cannot really say anything about what will happen at the last moment of a black hole, until we have a successfull theory of quantum gravity (or have watched black holes exploding, of course).
    --
    The Tao of math: The numbers you can count are not the real numbers.
  15. Re:Some questions from a non-physicist by NonSequor · · Score: 2, Informative

    One correction. Quantum entanglement can be used to transmit information, but only if you already have a classical (slower-than-light) information channel already running between the two places. Basically, if Alice and Bob each took half of an EPR pair then later if Alice has a qubit she wants to send Bob, there is a method by which she can perform operations and measurements and then send the results of the measurements to Bob who then acts on his half of the EPR pair which becomes the qubit that Alice wanted to send. There is no way to do this without the classical information channel though.

    --
    My only political goal is to see to it that no political party achieves its goals.