Hi Christian,

"But we must be careful on which 'time' we are referring to. In fact, singularities can be time-like too."

Exactly so. Which is the precise reason I pointed out that Baez is wrong to dismiss Mitra's "metric of a test particle" on the event horizon of a black hole. For if the trajectory of a massless particle traces a timelike curve of measure zero on that trapped surface, and a distant free observer receives back a frozen image -- the observer's time relative to the test particle is also measure zero. Thus the singularity {0,0} is a complex point between the observer's spacelike state and the timelike curve on the event horizon -- a pure quantum spacetime relation.

As Hawking explained many years ago, imaginary time in complex space is just as real as the linear time we experience under our ordinary low energy conditions. At the extremis of black hole dynamics, time becomes space and -- because the observer cannot go "north of the North Pole" as Hawking so elegantly put it -- all singularities are extinguished in finite time. The freely falling observer will eventually join the 1-dimension information channel (Bekenstein-Mayo) described by the metric trace, and all information of observer interaction with the test particle trajectory will fall into an ordered line.

All best,

Tom

Thank you for your response.

I do not look at the other posts before I post because I want to see if I can understand an essay on my own. Sorry that I made you repeat past statements.

I do find the topic of this contest is not clear. Your theme is clear and concise. My trouble making the connection has more to do with contest theme than your essay theme.

All the best,

Jeff

Dear Christian,

On Jul. 2 you wrote to Stuart Heinrich: "the great scientist who coined the phrase "It from bit or Bit from It?" in the 1950s, i.e. John A. Wheeler, was the same scientist who popularized the term "black hole" in the 1960s.

On Jul. 4 I asked you: Did Wheeler really already coin "the phrase "It from bit or Bit from It?" in the 1950s"? If so I have to correct my essay ..."

On Jul. 7 you wrote to me: "Actually, I did not know when Wheeler coined the phrase It from Bit or Bit from it.

On Aug. 1 you wrote again to Jeffrey Schmitz: "the great scientist who coined the phrase It from bit or Bit from It? in the 1950s, i.e. John A. Wheeler ..."

Well, there are many other reasons for me do distrust the Wheeler glorification, and I appreciate your courage to try and defend his idol against my endnotes. In particular I am waiting for your reply concerning unitarity.

When you did not take issue concerning Gupta's question concerning singularity, I see this justified because he equated black holes with singularities. However, don't singularities have measure zero like anything that does not exist?

By the way, did you read Schroedinger's reasoning in the fourth of his original papers? He made a trick that reduced an equation of fourth order to second order. And he got famous because this correctly described the spectrum of hydrogen - without Einstein's relativity.

Cheers,

Eckard

Having read so many insightful essays, I am probably not the only one to find that my views have crystallized, and that I can now move forward with growing confidence. I cannot exactly say who in the course of the competition was most inspiring - probably it was the continuous back and forth between so many of us. In this case, we should all be grateful to each other.

If I may, I'd like to express some of my newer conclusions - by themselves, so to speak, and independently of the logic that justifies them; the logic is, of course, outlined in my essay.

I now see the Cosmos as founded upon positive-negative charges: It is a binary structure and process that acquires its most elemental dimensional definition with the appearance of Hydrogen - one proton, one electron.

There is no other interaction so fundamental and all-pervasive as this binary phenomenon: Its continuance produces our elements - which are the array of all possible inorganic variants.

Once there exists a great enough correlation between protons and electrons - that is, once there are a great many Hydrogen atoms, and a great many other types of atoms as well - the continuing Cosmic binary process arranges them all into a new platform: Life.

This phenomenon is quite simply inherent to a Cosmos that has reached a certain volume of particles; and like the Cosmos from which it evolves, life behaves as a binary process.

Life therefore evolves not only by the chance events of natural selection, but also by the chance interactions of its underlying binary elements.

This means that ultimately, DNA behaves as does the atom - each is a particle defined by, and interacting within, its distinct Vortex - or 'platform'.

However, as the cosmic system expands, simple sensory activity is transformed into a third platform, one that is correlated with the Organic and Inorganic phenomena already in existence: This is the Sensory-Cognitive platform.

Most significantly, the development of Sensory-Cognition into a distinct platform, or Vortex, is the event that is responsible for creating (on Earth) the Human Species - in whom the mind has acquired the dexterity to focus upon itself.

Humans affect, and are affected by, the binary field of Sensory-Cognition: We can ask specific questions and enunciate specific answers - and we can also step back and contextualize our conclusions: That is to say, we can move beyond the specific, and create what might be termed 'Unified Binary Fields' - in the same way that the forces acting upon the Cosmos, and holding the whole structure together, simultaneously act upon its individual particles, giving them their motion and structure.

The mind mimics the Cosmos - or more exactly, it is correlated with it.

Thus, it transpires that the role of chance decreases with evolution, because this dual activity (by which we 'particularize' binary elements, while also unifying them into fields) clearly increases our control over the foundational binary process itself.

This in turn signifies that we are evolving, as life in general has always done, towards a new interaction with the Cosmos.

Clearly, the Cosmos is participatory to a far greater degree than Wheeler imagined - with the evolution of the observer continuously re-defining the system.

You might recall the logic by which these conclusions were originally reached in my essay, and the more detailed structure that I also outline there. These elements still hold; the details stated here simply put the paradigm into a sharper focus, I believe.

With many thanks and best wishes,

John

jselye@gmail.com

    Dear Dr. Corda. I enjoyed your paper very much. An original idea and very competent description. In my view, this is one of the best papers in the contest.

    It was perhaps an accident that I read your paper back to back with the essay by Carlo Rovelli, in which he says something very similar (to your description in the technical endnotes). I mentioned this to him on his site. You might find it useful to review his essay also.

    My favorite paragraph in your essay:

    "In principle, a process in which pure states evolve in completely mixed states does not contradict the laws of quantum mechanics because the apparent information loss is instead hidden by quantum entanglement. The term entanglement means that the quantum state of a quantum system composed by two (or more) subsystems depends on the quantum state of each subsystem even if they are spatially separated. When one sums up the information in the two subsystems the result will be less than the information in the original system. The apparent information loss results hidden inside correlations between the subsystems."

    In my essay I introduced a very similar idea that the apparent information loss is hidden by quantum entanglement. I described a "background free" conceptualization of time where subtime flows only down the 1-dimensional path, e.g. The flow of a photon between an emitter and absorber atom. And that this subtime will be reversed in all ontological respects if the energy/information in that photon is now returned to the original atom.

    A trapped photon bouncing back and forth between two atoms will therefore trap energy/information and for all intents and purposes will be "dark"; i.e. outside of (classical) time. It appears to me that this description is capable of yielding similar measured results of entanglement, and I have thus described it so (even though I imagine I may endure the wrath of a conventional quantum mechanic).

    I believe there may be congruence between our ideas, and I would thus be honored by your comments on my essay if you have time.

    Kind regards, Paul

    Dear Paul,

    Thanks for your kind words. Your idea on a "background free" conceptualization of time looks quite intriguing. I am going to surely read, comment and score your Essay in next days. Thanks also for signalling me the Essay by Rovelli. I will read it in next days too.

    Cheers,

    Ch.

    Dear Christian,

    I risk to be naive, but I must ask you. I'm skeptical, what's going on Schwarzschild radius. All just talk about gravity. As if on that radius, repulsion indifferently waiting, what do attraction? Acording Rudjer Bošković maby there are chaingin of atraction/repulsion not only once.

    Regards,

    Branko

      Dear John,

      Thanks for your comments. I will surely read, comment and rate your Essay before the vanishing of the deadline of Community Rating.

      Cheers,

      Ch.

      Dear Christian,

      Congratulations on maintaining a clear lead as the number one essay. I've read your essay and had several questions which have been covered in comments above, so I will simply convey my congratulations. I did very much appreciate your summary of the problem and recent results on pages 2 and 3. In light of Coleman's remark, I find it fascinating that it has taken until now to perform a QNM analysis of the problem. Again congratulations on formulating the Schrodinger approach.

      I found the comments on this page very stimulating and enlightening and add very much to your essay. I've read Susskind and many other papers (including Susskind and Maldecena's latest on the "firewall") but have no expertise in, or strong opinion on, black holes. I do rather have an interest and theory of non-linearity of gravito-magnetism and a new approach as outlined in my current essay, which I hope you find the time to read.

      Best regards,

      Edwin Eugene Klingman

        Dear Corda,

        We are at the end of this essay contest.

        In conclusion, at the question to know if Information is more fundamental than Matter, there is a good reason to answer that Matter is made of an amazing mixture of eInfo and eEnergy, at the same time.

        Matter is thus eInfo made with eEnergy rather than answer it is made with eEnergy and eInfo ; because eInfo is eEnergy, and the one does not go without the other one.

        eEnergy and eInfo are the two basic Principles of the eUniverse. Nothing can exist if it is not eEnergy, and any object is eInfo, and therefore eEnergy.

        And consequently our eReality is eInfo made with eEnergy. And the final verdict is : eReality is virtual, and virtuality is our fundamental eReality.

        Good luck to the winners,

        And see you soon, with good news on this topic, and the Theory of Everything.

        Amazigh H.

        I rated your essay.

        Please visit My essay.

          Dear Amazigh,

          Thanks for your comments. I I am going to surely read, comment and rate your Essay before the vanishing of the deadline of Community Rating.

          Cheers,

          Ch.

          Dear Christian,

          Why to waste our brain power on just mathematical singularities, they are not real?

          I am asking you this as you did not get time to reply my question....

          Best

          =snp

          Hi Edwin Eugene,

          Thanks for your comments with kind congrats. I worked and still work on gravito-magnetism, see here for example. Thus, I am interested on your Essay and I will surely read, comment and rate it before the vanishing of the Community Rate's deadline.

          Cheers,

          Ch.

          Dear Satyavarapu Naga Parameswara Gupta,

          Actually, I did not forget your interesting questions. As I told you, they need time to be replied in detail. I will surely restart this interesting discussion with you after the vanishing of the deadline of Community Rating. In the meanwhile, I will surely read, comment and rate your Essay before such a deadline.

          Cheers,

          Ch.

          Professor Corda,

          Thanks so much for your kind words on my essay (http://www.fqxi.org/community/forum/topic/1914 ), I am very encouraged that the author of your wonderful paper finds my paper likeable! I am working through the mathematical presentation in yours and am learning much -- thank you for presenting it here and sharing and thank you for sharing your comments on my thread!

          Cheers and Best of Luck in the Contest -- you should not need it !

          Jennifer Nielsen

            Christian: I am so impressed to see another author tackle a long-held concept and challenge it, instead of just writing more feel-good metaphysics. (Not only that, but to take on an icon like Hawking! Good for you, we should not be idolators.) I too have challenged a long-held assumption in my paper: that quantum mixtures of the same density matrix are indistinguishable. In my essay (/1610) I propose an empirical way we could distinguish such mixtures (e.g., mix of H and V linear polarized photons from mix of R and L circular states.) It should be of particular interest to you because of the significance of the DM in both our papers. I hope you have time to read it over and perhaps comment. PS to everyone: voting ends at 11:59 tomorrow night EDT (presumed from "ET" in FQXi update.)

              Dear Christian,

              Thank you very much for your encouragement.

              You saw very fair.

              Actually I insist, as I know now, the first principle of all is duality.

              You'll find out, hopefully in a few months.

              Regarding the third point:

              « 3) What do you think on my Statement Regarding the duality betweens and bit it, ie" Information physics tells how to work. Physics tells how to information flow "? »

              If you permit, there is what I think:

              « Information tells Energy how to flow. Energy carries Information. »

              Here's how I see it, but not exactly. : Energy is the horse, the rider is Information.

              Because Information is organised Energy.

              In other words. All things in the Universe are information, even the space. Then, what information is ? It is the organized Energy.

              Ok, what is the Energy then?

              We know how it manifests itself, but we do not know what it is. This is the first reality, impossible to fundamentally explain or define.

              Good luck and best wishes,

              Amazigh H.

              This contest is about whether reality can be represented in a binary fashion, not about information in general disappearing down a black hole. I don't see the relevancy to the topic. This is a typical equation heavy science paper that would lose most readers past the first two pages. I can't see this being an article in Scientific American, so I don't see it as being of general interest.

                Hi Cristi,

                This happened also to me. In fact, yesterday my Community Rate had an average score of 6.1 with 60 rates. Today it has an average score of 5.9 with 59 rates. It seems that a score 10 has been deleted. I have just sent an email to Brendan asking clarifications.

                Cheers,

                Ch.