Sorry for absence.

I was at various conferences (Oxford on Quantum and Cosmology, Nottingham on Relativistic Quantum Information, GR20 in Warsaw, and LOOPS13 in Canada).

Now I am back, and I read agin the posts.

Carlo

Hi Dough.

Von Neumann entropy is quintessential "relative" information, of the kind I am talking. It is not just "entropy of a system": it is entropy to a system relative to another. I am trying to work out the precise relation in these days.

Best, Carlo

Careful, "Relative information at the foundation of physics" does NOT imply that physics is nothing else than relative information. Foundations are often large and rich. Information is one of the ingredients for better understanding the world. I do not think (nor know) if it is the only one...c

"In a recent article you have, in effect, pronounced that the future of our world is already fixed and set in stone. Game over. In the face of the likelihood of catastrophic climate change, your's is an uninspiring position."

Oh no! If this is what you read in my article, I really have not been able to explain my ideas !!

carlo

No, I do not. Shannon has provided a very strait-forward and well defined way to understand the meaning of "the same information". c

Carlo,

please help me to understand: does ANYTHING change future outcomes? What DOES change future outcomes?

(Obviously I'm not referring to the issue of complexity, which means that future outcomes in real life usually cant be predicted)

Lorraine

Thanks so much Carlo for replying. Your reply suggests then that what determines whether two constantly related bodies will experience centrifugal force is in their local environment? If so, since it cannot be the bodies themselves it must be in space even if you may want to call this a field.

Following additional insights I have gained from interacting with FQXi community members, including your respected self (on Jun 26 and other days), perhaps you will like to view the judgement in the case of Atomistic Enterprises Inc. vs. Plato & Ors delivered on Jul. 28, 2013 @ 11:39 GMT. Thanks

I wish I had full access to the Wheeler article I mentioned before. I understand he compared his elementary quantum phenomenon to monads.

All the best, sir

Akinbo

Dear Carlo,

I thank you for your excellent analysis making a fascinating essay. But I find an apparent contradiction I wish to resolve.

The finiteness at the Planck length I can agree as wavelength gamma, then you seem to assume this is equivalent to the binary 0,1 of Shannon. But then you also find, (agreeably) that; "it is always possible to acquire new information about a system." Leaving the apparent dichotomy. As the signals we use as far from gamma, might it be that all that new information is coded in the 'noise' limiting the channel capacity?

I very much liked your comment; "The interactions between spacetime regions are exchanges of informations across spacial regions. These are quantized and discrete. The quantum discreetness, united to the fact that the geometry of spacetime is dynamical, and therefore quantized, leads immediately to the discretization of space," Which I've considered in a more realist and mechanistic way for the last two years

I hope you may be able to advise me on the veracity of my related proposal this year, of an underlying mechanism giving the the 'missing element' you identify, by decoding that 'noise as distributions 'between' cardinals, so 'curved' not linear, (and 3D+t not 2D+t waves). Still finite but filling a massive gap with that 'new information' which I suggest how we may "acquire".

I love the Democritus quote, but suggest more. Do you know of any observable physical entities entirely identical? I propose A=A is fine for maths but that the = sign is metaphysical, so in reality we can't have Aristotle=Aristotle as there is only one real Aristotle. Are even stem cells really identical? And do particles really have zero complex structure as QM assumes?

I hope you may also comment on my finding explaining of the anomalies in Alain Aspects data, offering an EPR resolution without FTL. fqxi; The Intelligent Bit.

Very best wishes.

Peter

    Dear Carlo,

    You have written an entertaining essay but I think that things could be greatly simplified if theoretical physicists would be a bit more adventurous with subversive ideas.

    For example, Hawking and Bekenstein showed that the entropy of a black hole is proportional to the area of its event horizon. t'Hooft and Susskind then came up with the Holographic principal but can't find a proper working scenario for it. The "divided by 4" in the BH entropy formula is giving us a clue.

    I believe that a black hole is in fact a plain circle and its entropy is proportional to the area of the circle (there goes the "divided by 4").

    Why don't you try to use your LQG in the context of successive 2D frames ?

    (each 2D frame representing the "present" information for an internal observer in the frame, each frame being a scaled up version of the previous one and the "present" information is moving through the frames at the speed of light).

    I have done this in my simple theory and I got some great results. I am only an amateur physicist, so I am sure that you would discover a lot more if you tried that approach.

    For example, I have discovered (and I can show) that the proton's diameter is just a scaled up version of the Planck Length and that the proton's mass is just a scaled down version of the Planck mass.

    By using this simple "holographic" principle and a simple scaling rule, I concluded that Dirac was correct when he came up with his Large Numbers Hypothesis, unfortunately not many current physicists want to even consider that he was right.

    I know that you like to question the fundamentals (that's why I am one of your fans), so, please be even more adventurous and at least consider some of my ideas even if I am a nobody.

    Best regards,

    Patrick

      • [deleted]

      Yes,

      http://intranet.catie.ac.cr/intranet/posgrado/Agrof-Cult-AyP/

      Curso%20SAF%20A%20y%20P%202011/Propedeutico%20Agroforestal/Lecturas%20optativas/The

      %20Measurement%20of%20Species%20Diversity.pdf

      Annual Reviews is cooperating with http://www.jstor.org

      Eckard

      The reason it is always possible to acquire new information is quantum mechanics. It is the same reason for which after you have measured the z-component of angular momentum you can still get new information by measuring its x-component. In doing so, the information about the z-component becomes irrelevant, therefore the new information is acquired without increasing the total amount of information available.

      This I think characterizes quantum theory. I do not think that we learn more by trying to connect this to some underlying quantum fluctuation. Like we did not learn more about the Maxwell equations by trying to guess some underlying mechanical explanation of these equations. We learnt more about them by realizing that they were simply describing some simple fact about nature, which we had discovered.

      c

      Hi Patrick.

      Nobody is "a nobody" in science. Remember the patent office clerk... I looked at your UB's and CBU's. Quite surprising indeed your numbers! Id didn't check out the arithmetic. Does it really give that? It should not have been easy to find these formulas... I'll try to see if there is something I can use... Best! carlo

      Hi Carlo,

      Thank you for your reply.

      Yes, the arithmetic is correct.

      No, it was fairly easy to find these formulas, it is all simple logic.

      Have you checked out the proton's diameter and the proton's mass formulas?

      If I am correct, wouldn't this give us a big clue about the current proton's radius measurement problem ?

      A

      Patrick

      • [deleted]

      Dear Carlo,

      Re your answer (28th July) to my post: doesn't your determinism mean that all future physical outcomes are already fixed and "set in stone"? (Obviously I'm not referring to the issue of complexity, which means that future physical outcomes in real life usually cant be predicted).

      Cheers,

      Lorraine

        Dear Carlo,

        Re your answer (28th July) to my post: doesn't your determinism mean that all future physical outcomes are already fixed and "set in stone"? (Obviously I'm not referring to the issue of complexity, which means that future physical outcomes in real life usually cant be predicted).

        Cheers,

        Lorraine Ford

          Well, the issue you mention is like that in christian theology: God knows everything, therefore He already knows if I will go to Even or to Hell. Therefore this is already fixed. Therefore why bother about being good?

          Where is the mistake?

          It is in mixing levels. Here you assume you can decide something (not doing anything) on the basis of the fact that you cannot decide anything. This obviously is contradictory.

          Either you discuss in the appropriate high level terms, where choice and responsibility make sense. Or you refer to the underlying physical deterministic evolution, in which case if you are trapped in this false logic you are jus a self destroying system and too bad for you ...

          In other words, it is a non sequitur. c

          Lorraine, I have answered to the previous post, without seeing you had corrected it with your name.

          c

          Dear Prof Rovelli,

          very interesting essay. I completely agree with you about the role of information in physics. It is the relation between the objects which counts.

          Your two principles (leading to quantum mechanics) are not totally new. von Weizsäcker also discussed the abstract derivation of quantum mechanics from finite Hilbert spaces (like C^2). I discuss it partly in my essay.

          Maybe one point of disagreement: In my opinion, the relation between the discrete structure of spacetime (like the area quantization of LQG) and the smooth spacetime is not well enough understand. Is it really necessary, that the spacetime itself is discrete? Using diffeomorphism invariance, the information contained in a smooth 4-manifold is discrete (as I explained in my essay). Also the substructures like surfaces are partly regid (see for instance a incompressible surface in a 3-manifold which can be a topological expression for area quantization). Do not misunderstand me, I'm not an oponent of the discrete spacetime but the relation between discrete and smooth is not really explored (in dimension 4 or lower any triangulation (or PL structure) is uniquely determed by a smooth structure and back).

          Maybe you have time to look in my essay.

          Best wishes

          Torsten

          Carlos,

          Interesting. Can you explain what a 'virtual photon' is, or why Snell's Law fails at Maxwell's near'Far field transformation along with Fresnel's refraction? We have to call the unexplained non-linear effect 'Fraunhofer' radiation and slip it under the carpet to be rationalised later! Unless you can offer an explanation?

          Do you not believe that understanding the underlying quantum mechanism to the transform will aid our comprehension, so remove the anomalies and paradoxes (including such as Kinetic Reverse Refraction, another well known effect from optical science with not consistent theoretical explanation).

          A mathematical identity is of course not a true or even absolutely precise 'explanation' of natures uncertainties, just a good approximation, Yes?

          So I am suggesting perhaps these are the things we DON'T yet fully understand, or do you truly believe we do?

          Peter