Hi Peter,

Nice to re-meet you here.Thanks for your kind words on my Essay. Yes, I agree with you that there may have been more reasons for the passing over of my essay last year than just failed understanding of BH information retention. I suspect that there were "political reasons".

OK, I am going to read, comment and score your Essay in next days. Best of luck in the contest also to you.

Cheers,

Ch.

First off I found the following essay very interesting. I gave this a 9, and while that pulls the essay way ahead of the rest of ours this hits a lot of nails on the head. It has nothing to do with physics, but with sociopaths (he calls psychopaths) in power as psychocracy. Due to personal circumstances I have almost an advanced degree in the psychology of sociopaths.

The deviation from the Bekenstein bound is due to I think an error correction code system. The interior of black holes is entangled with the exterior, and this leads to troubles with quantum information. The old standby idea of the EPR particle pair near the horizon implying that Hawking radiation entanglement with the BH means the BH runs out of quantum information at about half its mass, or with certain modifications at the Page time. The additional quantum entanglement with the interior permits a quantum error correction code (ECC) to run, but this runs into troubles as the number of occupation states with the Hilbert space for the ECC increases beyond the Bekenstein bound.

The interior spacetime of the BH has curious properties, such as winding of geodesics that are on Cauchy horizons. From an information mechanics perspective it means this is a hyper-Turning machine. This quantum machine can compute second order λ-calculus, which is beyond the power of Turing machines or quantum computers. There is an entanglement between these states and the exterior. The exterior states are ordinary quantum machines, but their limited power is entangled with a second order λ-calculus system. This makes the system an "open system" which is able to overcome the problem of the ECC limitation.

I'll send some references to ideas along these lines.

Cheers LC

Thanks LC, I am going to read the suggested Essay. I also look forward to see the cited references.

Cheers, Ch.

Dear professor Corda,

The solution of the almost insurmountable problem of unifying SR and quantum physics is surely one of the corner stones for humanity to build a new comprehension of our reality.

Your progressive thinking is surely helping us further forward, together with Stephen Hawking and the new perception of Carlo Rovelli (Planck Stars as the core of Black holes) I think we make an approach to a fresh way of thinking.

I thank you for your submission and hope that there will be this time more understanding for your insurgent thinking.

I also thank you for your comprehensive comment on my essay.

good luck this time with the FQXi judges.

Wilhelmus

    Dear Wilhelmus,

    Thanks for your kind words on my Essay. Yes, I think that the approach of quasi-normal modes by myself and collaborators and the approach of Planck Stars by Rovelli and collaborators are both important and open new perspectives in quantum gravity. Maybe that approaches could have some common point.

    Thanks again and best luck for the Contest.

    Cheers, Ch.

    Hi Christian,

    Nice to see you in the essay contest forum again. I have not had time to read over your entire essay yet but I did have two comments/questions from the early part which I read which I wanted to already ask.

    The first is a quibble in that "Will it really help humanity if we understand BH radiation, get a theory of quantum gravity, etc.?" In other words how important is the really? Note I am playing devil's advocate (the same thing I mentioned on Phil Gibbs) discussion, since as a theoretical physicist I spend a large percentage of my time thinking about these things. And then if people ask me what I do *and* if they stick around for the full answer the response from them is usually "Can you build a better iPhone, flat screen TV, etc. with this knowledge?" To which the answer is "Yes, maybe eventually, but isn't this of intrinsic interest without the need from some kind of gadget as the outcome?"

    OK now to the second more substantive question -- in equation (3) you are proposing a modification of the usual Fermi-Dirac and Bose-Einstein distributions and therefore (I think) this would mean some modification of the underlying FD and BE statistics. Might not this lead to some observable consequences. For example, white dwarfs and neutron stars are held up by Fermi degeneracy pressure. If one modifies the statistics this might lead to a potentially observable chance in the mass-radius relationship of such objects. Or maybe one might be able to see a deviation from BE statistics in systems which exhibit such behavior (although usually in such system as superconductors or superfluid helium gravity is a completely ignorable interaction so that the astrophysical objects might be a better bet in regard to looking for deviations.

    Anyway good luck and I will more fully read and comment in less than a week (I hope since now we are entering the end of semester gauntlet).

    Best,

    Doug

      Dear Christian,

      Congratulations for the results! I read your essay with much interest, and I think that quantum black holes should indeed be similar to Bohr's model, at least semi-classically. As your work shows, this would explain some results which otherwise seem to be disconnected, concerning BH thermodynamics, the entropy, its (approximate) proportionality with the area etc. One of my future plans is, at some point, to invest more time in the problem of quantum behavior of black holes, and to study more thoroughly yours and other results. I am happy to see your progress, and how this research spreads in the community.

      Best regards,

      Cristi

        Hi Doug,

        Nice to re-meet you here in FQXi Contest.

        Thanks for two intriguing comments/questions, here are my replies:

        1) I well understand that you are playing devil's advocate as BH radiation, quantum gravity, etc. are also among your research fields. In any case, I think that an important way we can really help humanity is to improve our knowledge of the fundamental laws of nature. In my opinion, two fundamental points are that we well understand what are space and time and how must we handle quantum objects. Quantum gravity is the synthesis of these two issues. More, various researcher think that understanding quantum gravity should be also important for realizing quantum computers, which should be the future of collecting and handling information. On the other hand, I think that, without basic research in physics, we cannot have further progress in medicine, technology, nuclear power, nano-structures etc.

        2)Your observations about the deviations of the usual Fermi-Dirac and Bose-Einstein distributions that I have found in BH radiance are extremely intriguing. In my opinion the key point is: do perfect black bodies exist in nature? Even cosmic background radiation shows little deviations from perfect thermality. Hawking discovery of BH radiance appeared to show that BH are perfect black bodies. On the other hand, Parikh and Wilczek showed that energy conservation generates a deviation from the strict thermality instead. More in general, do perfect thermal system exist in nature? For example, considering your example: are white dwarfs and neutron stars really held up by an EXACT Fermi degeneracy pressure? Of course, that model is an excellent approximation but, as you correctly stressed, deviations could open interesting perspectives for the search of new physics from both of the theoretical and observable points of you. As you are an expert on Hawking radiation as tunnelling, you can be interested to my rigorous derivation of equation (3) in Ann. Phys. 337, 49 (2013).

        Thanks again for your comments and best luck for the Contest. I am going to read, comment and score your Essay in next days.

        Cheers,

        Ch.

        Hi Cristi,

        You know that I have a great consideration of you and you research. Thus, I am very honoured by your kind words on my work.Let me know when you will start to work on quantum black holes. Maybe we could collaborate or, in any case, have some exchange of ideas.

        Thanks again and best luck in the Contest, I am going to read, comment and score your Essay in next week.

        Cheers, Ch.

        Dear Christian,

        Your essay is excellent, so my words are well deserved. My admiration to your work is great, and I would be deeply honored if we will collaborate, or at least exchange ideas. I wish you all the best and good luck with the contest.

        Best regards,

        Cristi

        Ch,

        I would be curious to know which of the essays in last year's program are the one's you think are rubbish.

        I seem to be doing pretty well this year. I think this is better than the previous attempts. There is no guarantee that will translate into winning anything.

        Cheers LC

        Dear Colin,

        The key point is that Equivalence Principle prevents to find the relativistic gravitational potential energy function with the sole exception of the perfect spherical symmetry.

        I any case, I wish you best luck in the Contest. I will read your Essay in next days.

        Cheers, Ch.

        Also the experimental test for these fundamental theories generates not only jobs but a host of heretheto unknown technologies that benefit everyone. The touch screen, internet etc came from cern and other research centers. So yes there are benefits to be derived from investing in fundamental research.

        Regards

        Stuart

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        • Post #40

        Ch

        If nothing is allowed to fall into a BH then we do not have the information paradox and firewall problems.Recall that it is the surface area of a BH that is important and not its volume.So from my investigations a BH is BEC of planck sized BHs wich constitute the surface of a BH.

        regards

        Stuart

          Thanks Stuart, I completely agree with you. On the other hand, as I wrote in Jonathan J. Dickau's page, although the notion that knowledge has value for its own sake is unpopular these days, it is my life philosophy.

          Cheers,

          Ch.

          Hi Christian,

          I have taken a look at your essay : ) Unfortunately I lack the education to understand most of what you have written. Please can you explain how your answer is related to the essay question. "How should humanity steer the future?"

            Ch

            I will be coming to a town close to you. I am participating at a workshop http://www.sissa.it/app/esqg2014/participants.php on Quantum gravity. Hope to see you there.

            regards

            Stuart

              Dear Stuart,

              Why do you claim that nothing is allowed to fall into a BH? In my knowledge it exactly the opposite, at least at the classical level, i.e. nothing is allowed to escape from a BH. I suppose that for BEC you mean Bose-Einstein Condensation. But in that case, I do not understand how planck sized 3-dimensional BHs can constitute the surface of a 2-dimensional macroscopic BH. Please, can you kindly clarify these points?

              Cheers,

              Ch.

              Hi Georgina,

              Thanks for taking a look to my Essay. Concerning your question, I think that an important way humanity can steer the future is to improve our knowledge of the fundamental laws of nature. Two fundamental points are that we well understand what are space and time and how must we handle quantum objects. Quantum gravity is the synthesis of these two issues. Also, various researchers think that understanding quantum gravity is also important for realizing quantum computers, which should be the future of collecting and handling information. Realizing a definitive model of quantum BH is fundamental for this task, as it is a general opinion that BHs are the fundamental bricks of quantum gravity in the same way that atoms are the fundamental bricks of quantum mechanics. It is also my conviction that, without basic research in physics, we cannot have further progress in medicine, technology, nuclear power, nano-structures etc.

              I will read your Essay in next days.

              Cheers, Ch.