Hi Mauro, nice one. Like the idea that quantumness is required for the emergence of space-time at the automaton level. I've always been a believer of classicization of a default quantum theory rather than the other way around. I'd like to see how the automaton formulation relates to the Frobenius algebras which correspond with the dots in our graphical language. They represent classical context of which space is one. We can discuss this in Barbados next year!

    Dear Giacomo Mauro D\'Ariano,

    I have taken a quick look at your essay. I love that it is written very clearly in comprehensible language and that it is set out into easily digestable sections. You examine the way in which ideas are considered in physics, making it very relevant to the essay question. It strikes me as an essay that I must return to, to read thoroughly, as there is a lot I could learn from it. Well done, Good luck in the contest, Georgina : )

      If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is [math]R_1 [/math] and [math]N_1 [/math] was the quantity of people which gave you ratings. Then you have [math]S_1=R_1 N_1 [/math] of points. After it anyone give you [math]dS [/math] of points so you have [math]S_2=S_1+ dS [/math] of points and [math]N_2=N_1+1 [/math] is the common quantity of the people which gave you ratings. At the same time you will have [math]S_2=R_2 N_2 [/math] of points. From here, if you want to be R2 > R1 there must be: [math]S_2/ N_2>S_1/ N_1 [/math] or [math] (S_1+ dS) / (N_1+1) >S_1/ N_1 [/math] or [math] dS >S_1/ N_1 =R_1[/math] In other words if you want to increase rating of anyone you must give him more points [math]dS [/math] then the participant`s rating [math]R_1 [/math] was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process. I hope the FQXI community will change the rating process.

      Sergey Fedosin

        Dear Giacomo

        A very interesting essay. I find particularly interesting your purification principle: "that irreversibility and mixing can be always regarded as the result of discarding an environment, otherwise everything being describable in terms of pure states and reversible transformations." The question is who or what decides what is included or discarded, and by what mechanism is this implemented? This is some process or choice that takes place at a different level from that of the dynamics itself. So how does this happen?

        I fully agree with your view on infinity: "Richard Feynman himself is reported to like the idea of nite information density, because he felt that there might be something wrong with the old concept of continuous functions. How could there possibly be an in finite amount of information in any finite volume?" Yes indeed.

        George Ellis

          Thank you Bob. The quantum nature of the causal network is crucial for getting the isotropy of space for relativistic momenta, and this is because informations flows in a superposition of paths. Otherwise, if you want the causal network to be classical, you need it to be random, as in the Rafael Sorking approach. But then you loose the nice automaton framework for Dirac. In my knowledge, by no way you can get the same physics of Dirac by a classical random walk. The analogy with your Frobenius algebra is exactly the same as with the operational boxes of Giluio me and Paolo in our informational derivation of quantum theory. We should discuss about this at length in person, and Barbados could be a very inspiring place!

          See you soon

          My best

          Mauro

          Thank you Bob. The quantum nature of the causal network is crucial for getting the isotropy of space for relativistic momenta, and this is because informations flows in a superposition of paths. Otherwise, if you want the causal network to be classical, you need it to be random, as in the Rafael Sorking approach. But then you loose the nice automaton framework for Dirac. In my knowledge, by no way you can get the same physics of Dirac by a classical random walk. The analogy with your Frobenius algebra is exactly the same as with the operational boxes of Giluio me and Paolo in our informational derivation of quantum theory. We should discuss about this at length in person, and Barbados could be a very inspiring place!

          See you soon

          My best

          Mauro

          Dear Georgina,

          thank you very much for your compliments, which are exactly what desired most to hear, namely that the essay is easily understandable and every point is made clear. I thought for now many years about the issue of reformulating physics on more solid principles. What I consider amazing about the principles proposed in my essay is the fact that by just pursuing them, and without anything else, one can derive so much physics! I strongly believe in this quantum automata program: we are now four people working on it, temporary with no funds, and I hope that this essay will help the program to take off.

          Dear Sergey

          I understand your point, the rating is just the average, but nobody knows the average, so many essay are overestimated, because in order to get them up then people vote 10. I'm not sure, but maybe you are right in proposing the rating being visible. I saw indeed big fluctuations in mine. Last nigth was at the 5th place, now is at the 15th ... I hope that it will remain before 35th, and will not miss the opportunity of a judgement from Referees!

          Dear George,

          thank you for your interesting post, which gives to me more opportunity of talking about the principles of Quantum Theory (my joint work with Chiribella and Perinotti). Indeed, what we learn at school is that unitariety of Quantum theory is a rule, but this indeed is not true: the theory can survive without the requirement of unitariety keeping perfect thorough logical coherence, and using quantum channels (completely positive trace-preserving maps) instead. Also the motivation for unitariety that "transformations must be reversible for a closed system" is false, since, strictly speaking, for this purpose one needs the evolution to be just isometric. Requiring that the reverse of the reversible transformation is also reversible is a matter of simplicity. I think that unitariety is just for historical reasons, due to the Schroedinger equation, which, however, is needed for the "mechanics" of the theory, quantization rules and so on. If one wants a theory that is autonomous from the classical one (but from which classical mechanics emerges from pure quantum theory of systems, as for the quantum cellular automaton), then unitariety is not strictly needed for the logical coherence and closure of the theory. In the automaton, however, unitariety is dictated by the requirement of having the Dirac field emerging at the Fermi scale.

          Therefore, is up to you to believe that the purification actually exists. We know that Quantum Theory allows for purification of any transformation using an environment (and by the way the purification of the postulate is an isometry, which then we know can be further extended with a unitary). But you are not obliged to have the actual purification: everything works as if the purification exists. If now you ask me for "a mechanism" for such a purification (in case you believe that there is an actual environment), that's an interesting question. Maybe one should try to describe the "informaton" as an incompressible fluid, or something similar. By the way, if one believes that the purification always exists, than also the GRW spontaneous collapse is due to an environment! Which means that GRW is always the same quantum theory, but we just add another hidden quantum field (Bassi would say that it can be done with a classical field, but I'm not sure of this). The true point is to decide what is spontaneous, and what is not-the chicken and the egg again.

          Finally, let me say that I liked your essay very much (it was one of the first I read). I can agree with your idea of your top-down causation, within my definition of causality (axiom 1 of QT), and as a Bayesian, in the sense that since causal relations are established by parametric dependences of probabilities, in a Bayesian interpretation they are themselves "beliefs", and such they are established by us, as any theory is formulated (this also agrees with the Humean point of view of causation). And, as such, you are right when you say, "Understanding the emergence of genuine complexity out of the underlying physics depends on recognising this kind of causation".

          Thanks for that response, appreciated.

          "By the way, if one believes that the purification always exists, than also the GRW spontaneous collapse is due to an environment!" - yes indeed.

          "Which means that GRW is always the same quantum theory, but we just add another hidden quantum field (Bassi would say that it can be done with a classical field, but I'm not sure of this)." - well I think there is a god case that the "hidden variable: is the local context. It is hidden because its variables are located at the level above the one that one has in mind - and this environment is just taken for granted.

          George

          You mainstreamsians controle science for over 50 years. You mainstream and Hawking failed. The bad science is because of the Top-Down controle of the people like you. Why do you need money and fame from FQXI where the authors are mostly jobless, are mostly independent researchers, are mostly viXra.org authers? Do you need money and fame by controling jobless???

          I want to rate you 0!

          Dear Ben

          thank you very much for your support. I just discover today your really interesting reply to my post on your thread: I'm going to think about, and try to answer this same evening.

          As regards my position in the list, it is fluctuating, so let me cross fingers.

          My best to you,

          I'm happy that you are at the top.

          Mauro

          MAX PLANK:

          An important scientific innovation rarely makes its way by gradually winning over and converting its opponents; it rarely happens that Saul becomes Paul. What does happen is that its opponents gradually die out and that the growing generation is familiarized with the idea from the beginning.

            Sergey G Fedosin is bombing entrants' boards with the same "why your rating has dropped" message. They are all dated Oct. 4... same message.

            WTH? I've seen one fine essay drop 89 (eighty-nine) positions, in "Community Rating" in the past 24 hours, and "Sergey's note" came BEFORE it plummeted. Hmm.

            The vote/scaling of this contest is quite nebulous.

            "Hackers Rule!", I suppose!

            Well??? What else is one to think? The General Public is... Watching...

            Interesting but the spheres are better, the lattices disappear. The central sphere is the most important volume.

            The number of uniqueness is essential. The serie is a finite group. The decreasing spherical volumes give a pure universal serie. This number is the same than our number of cosmological spheres. The relativity of rotating 3D spheres become very relevant when we insert an universal gauge in 3D. the Planck scale implies that we have the central spheres at these walls separating the infinte light without motion and this physicality, the sphere in spherization. We have the same logic at the cosmological scale in 3D. The central sphere inside the universal sphere so imply that we have cosmological walls also connected with this light without motion. It is relevant when we consider so that more a sphere turns quickly, less is its mass. In logic the Universal sphere and the central cosmological sphere does not turn.See that for the quantum scale, it is the same relativistically speaking, so more a sphere turns, less is its mass. Considering the general point of vue of course.The volumes are relevant like the 3 motions of spheres of light inside the universal physical 3D sphere. In fact the rotation orbital, spinal and the linear motion of spheres of light considering the uniqueness serie imlply the rule of spherization and the properties of evolution spherization. So the light becomes mass on this entropical arrow of times. It is logic in fact. All can be classed if the universal finite number of spheres of the serie of uniqueness is known ! A phton is a relativistic foto of our universal sphere, the number is the same.

            Regards

            Hello

            You know , my pc is totally checked, people implies confusions. They even superimpose the algorythms for the strategy. They delete, they lie, they invent false name,.....In fact my theory is revolutionary, I can understand but there I need help because it is not integre and well this comportment.

            China, India, or USA. That is the question.

            Who imply this confusion? me I am ready to go in India, or China or USA.I will take the best proposition.

            ps I have invented the perpetual motion........solution:add of systems !!! results ok !!! revolutionary, yes as my humble theory of spherization posted since more than 8 years on net . I just share it in a total transparence , but even like that, it exists sharks without reason and universality.

            The most important is this universality and its evolution spherization optimization. The rest is vain after all.

            ps2:The hackers shall fall doawn in all case !!!

            Regards