Hi James,

I appreciate your comments.

> Any sort of universe is a "something." Vacuum fluctuations, the string landscape, etc., are all something.

This is exactly what I said.

> Nothing = no universe. No universe = no mathematics.

I take it that you refer to mathematics as a tool discovered/invented by humans. To see what I understand by mathematical structure, you can read my previous essay, and then read again my argument about something rather than nothing, and see if your syllogism still holds. In that essay I explained in more detail the logic behind the omnipresence of mathematical structures. This also answers the part related to mathematics from your other two comments. Of course, even then, you don't have to agree with me.

> where I try to validate our subjective experience without reducing it to matter or mathematics, or vice versa

To me, matter is nothing like classical physics matter, mathematical structures are nothing like a set of axioms and proof that fit in a human brain, and I don't think I try to reduce subjective experience to these or vice-versa. I compare different possible positions, including that there is only one stuff which is all three at the same time. I am satisfied without knowing the answers to unanswerable questions and without reducing things that we don't understand to other things that we also don't understand :)

Best regards,

Cristi

Hi Cristi,

I very much enjoyed your essay, and I have a couple of questions.

The first is that you mention free will as being possibly "compatible with the determinism of the Schrödinger equation". This is an issue that I wish I had touched on more than the short paragraph it got in my essay, so I can't resist expanding a little bit here. Simply: I wonder if looking at free will in terms of determinism isn't by necessity an impasse, but if (as you seem to be leading towards as well) it would not be more fruitful to define it in terms of the specific nature of the determinism that is involved.

If we accept that individuality can be characterised by information-theoretic relations (that make it possible to establish a clear but porous boundary between an organism and its environment), then an array of measurements for different aspects of this individualised organism's relationship with its environment becomes available. This provides a framework within which to define how and to what degree an organism's behaviour is controlled by its environment. Autonomy, openness, etc. could then lead to a satisfying description of free will.

I wonder how you would see this view as relating to yours on this topic?

The other is the classic question you bring up of "What breathes fire into the equations?" I wonder -- and this is way more speculative even than the previous part -- if mathematics doesn't admit a lower level of description that is entirely processual/functional, and that the static, timeless relations we have extracted above that are not "simply" special cases that happen to lend themselves to such static-oriented analysis. Notably I have been wondering how many paradoxes vanish if mathematical statements are taken to be transformative operations in which the output cannot conflict with the input since the world has changed by that very operation (eg. the barber shaves those who did not shave themselves in the current time step -- in the next step they will have shaved themselves and therefore will not do so again, etc.). In other words, the fire has always been there, we just took it out.

Admittedly this notion is barely in its infancy and might require just a little bit more work ;-)

Thanks a lot for sharing your essay!

    Dear Christi

    I found your essay very thought provoking. I like your open-mindedness, posing more questions than you provide answers to: "I am satisfied without knowing the answers to unanswerable questions and without reducing things that we don't understand to other things that we also don't understand." I also appreciate your point that mathematics as a tool may leave us short of a unified explanation of reality: "The lowest level of the pyramid of physics seems to be imperfectly rooted in the ground of mathematics" - and your use of the Hawking quote along similar lines.

    The view, a la Tegmark, that mathematics can describe all would seem to lead us astray from the fundamental question of why there is something rather than nothing. I say this because I think that the question is better posed as "why do we have THIS universe rather than nothing", and this universe has a set of laws which seem to be finely tuned to complexity. As the Hawking quote points out, why the universe would be inclined to create complexity is likely a question beyond maths. In my essay "From nothingness to value ethics" I try to explain why this tendency should be a fundamental consequence of existence from nothing - to create not only a when and a where, but also a WHAT. I would be interested in your opinion of this.

    Best regards

    Gavin

      Christinel,

      The tablet of the law is the theory of everything, something you suggest is fundamentally simple, but your tablet of metalaw sounds like metalegal principles applying to all intelligent creatures of the universe, relating to Kant's Categorical Imperative based on natural law theory. Critics say it depends on subjective or relative concepts of good and bad. Does that relate to your tablet of metalaw?

      My essay surveys the zoom-dependent nature of the universe and entropy as an independent law of nature, citing the Jeremy England flavor. I find the issue we are exploring somewhat difficult to scrutinize.

      Enjoyed exploring your ideas and views.

      Regards,

        Dear Lawrence,

        Thank you for your comment.

        You said "I know that you have worked to dethrone spacetime singularities."

        Yes, I worked a lot in spacetime singularities in (classical) general relativity, but not to dethrone them. I actually love them and wanted to understand them. They exist (if no quantum or other kind of effect doesn't remove them), but I provided a description of them which is free of infinities, while still making geometrical and physical sense. They are still singular, and I think this may be useful, because they have dimensional reduction effects which may be useful in quantum gravity.

        Bet regards,

        Cristi

        Hi Robin,

        Thank you for the comments and the very interesting questions.

        As you know, there is a position that tries to reconcile free-will with determinism, called compatibilism, which perhaps is just what you refer to by "it would not be more fruitful to define it in terms of the specific nature of the determinism that is involved". The position that I mentioned in the essay is different. Schrodinger's equation is a fundamental law governing the wavefunction, and its success in describing the behavior of particles and atoms is overwhelming. But to reconcile it with the definite outcomes of measurements, it is supposed than the wavefunction should collapse. This leads to some problems: it breaks a fundamental law like Schrodinger's equation, it violates the conservation laws, and escapes a causal description. My proposal is to resolve the tension between clasical macro and quantum micro (also at the origin of the measurement problem) by selecting from the Hilbert space only the solutions that work like this. But this leads to moving the collapse on the initial conditions of the universe, in an apparent retrocausality. The solutions are then still deterministic according to the Schrodinger equation, without collapse, but the probabilities are moved to the initial conditions. So we have both determinism and randomness. I argued that this provides a compatibility between determinism and free-will, although I leave it here, since I am not sure what free-will really is. Of course, even the input from QM is too small to be able to account for what we feel free-will is, so in all cases one should add to the description what you said, "Autonomy, openness, etc.".

        About your question about a lower level description of mathematics. I think any sort of description of any sort of thing, if it is consistent and rigorous, it becomes mathematical. I agree that we can conceive worlds in which the propositions change from being true to being false and vice-versa, but this happens by change, as in the example you provided, and maybe this is time. So if I understand it well, I think this is still a dynamical system. But who knows, I may be surprised someday by learning about something more fundamental than mathematics. If you advance with the idea, please let me know!

        Best regards,

        Cristi

        Dear Gavin,

        Thank you for reading my essay and providing interesting comments and questions.

        I agree with you that "why do we have THIS universe rather than nothing" is indeed a better question. But maybe if we break it into smaller questions, we increase or chances to advance. The smaller questions may be (1) "why do we have THIS universe rather than something else" and (2) "why do we have something rather than nothing". Then, what I did was to break (2) into (2') "what can't not exist?" and (2'') "what else do we need for what can't not exist to make up a world?". I think that the answer to (2') is "mathematical structures". MUH states that the answer to (2'') is "this is enough", but not everyone is satisfied. Also, Tegmark can be understood as proposing to reformulate (1) as (1') "why is this particular mathematical structure our universe rather than any other structure", and to addressing it by anthropic reasoning. I think the latter part is subject to some critical remarks based on computational equivalence which I described in And the math will set you free.

        You made me curious about your essay "From nothingness to value ethics", and I am looking forward to read it.

        Best regards,

        Cristi

        Dear Cristinel Stoica,

        I highly appreciate and completely support thoughts and the approach, stated in your essay. It's magnificent and very topical material. I hope that you will find concrete attempts of transition to the following level of physical laws in my work.

        Best Regards,

        Vladimir A. Rodin

          Hi James,

          Thank you for the comments. Yes, the table of the law contains the fundamental laws. In the essay I try to not use the words "theory of everything" about this, since it would be about the fundamental laws only. It is not evident at all that the higher level of organizations can be reduced to the fundamental laws, and I gave several reasons about this. Of course the table of the law underlies them, but there are limits of computability, logical completeness (by finite length proof) etc. In addition, the higher level may do stuff that is not visible in the low level ones, and may even constrain them (as I argue it happens in quantum mechanics). The table of the metalaw include no-go theorems, emergent laws that are independent on the fundamental ones, like entropy for instance, etc. I did not discuss ethics, but I think it should be connected to the metalaw too. I agree, these are all difficult, some problems may be impossible to even define.

          Best regards,

          Cristi

          Dear Vladimir Rodin,

          Thank you for the comments, and I am interested to see your attempts of transition to the following level of physical laws.

          Best regards,

          Cristi

          Cristi Stoica,

          You wrote a very interesting essay that touches on a number of thought provoking points and questions. However, I do not see where you addressed the supposed theme of the essay, 'How can mindless mathematical laws give rise to aims and intention?' Can you summarize in a few sentences or a couple of paragraphs how your essay addresses this theme?

          There are several ideas discussed that certainly seem to relate to the theme, but I do not see where you pulled them all together to respond to the question posed by the theme. Now, that does not mean that you did not do this, it may just be beyond me. But, I felt that I pretty much understood most of what you discussed, and, in the end, just did not come away with a good feel for your position on the matter.

          Obviously, based on the posts and ratings, others are more in tuned with your approach, which further points to my probable lacking. You can tell from my essay that I approached the theme in a more rudimentary way. I attempted to lay out how the evolution from subatomic particles, that are at the will of physics, to a living cell, that has a will of its own, might have occurred. Still, I want to know your point; so please bear with me. Thanks.

          Best regards,

          Bill Stubbs.

            Dear Bill,

            Thanks for reading my essay and for the comments and questions.

            You said "I do not see where you addressed the supposed theme of the essay, 'How can mindless mathematical laws give rise to aims and intention?' Can you summarize in a few sentences or a couple of paragraphs how your essay addresses this theme?".

            To answer this, please allow me to point you to section 8 for goals, 9,11 for consciousness, to section 12 for a conclusion, and to sections 1-7,10 for the mindless mathematical laws, on which I build the other sections, and which contain elements that I used there. I gave more attention to principles than to specific models of goals and agents for the following reasons: (1) agents with goals are pretty much understood in older results that I mention in section 8. By contrast, (2) I think that consciousness is very little understood, and I personally am not satisfied with the current models, and also I don't have a better one. I think this is due to the lack of understanding of fundamental principles, which I divide into "laws" and "metalaws". I think for the theme of the contest metalaws are most relevant, but at the same time, since fundamental science works by reductionism, I had to show the relations between laws and metalaws, and the strengths and limits of reductionism. To the perspective I intended to present with respect to the theme, I think this was the best approach. There is a long way to answer properly these questions, and without knowing what physical laws allow us to do, I think that there is little hope to answer them.

            You said you "did not come away with a good feel for your position on the matter", which means that I don't rush to conclusions, which I consider would be premature.

            You said "based on the posts and ratings, others are more in tuned with your approach, which further points to my probable lacking". I think that the comments I receive are self-explanatory of what others saw in my essay, good or bad, and the ones that gave very small ratings probably didn't comment, so perhaps it's impossible to learn from their feedback.

            Best regards,

            Cristi

            Christinel,

            "Why is there something rather than nothing?" A good question.

            Is so-called empty space the cusp of reality, alternatively something then nothing?

            How do you make this physics foundation solid ? of the pyramid?

            Jim

            Dear Cristinel Stoica

            I invite you and every physicist to read my work "TIME ORIGIN,DEFINITION AND EMPIRICAL MEANING FOR PHYSICISTS, Héctor Daniel Gianni ,I'm not a physicist.

            How people interested in "Time" could feel about related things to the subject.

            1) Intellectuals interested in Time issues usually have a nice and creative wander for the unknown.

            2) They usually enjoy this wander of their searches around it.

            3) For millenniums this wander has been shared by a lot of creative people around the world.

            4) What if suddenly, something considered quasi impossible to be found or discovered such as "Time" definition and experimental meaning confronts them?

            5) Their reaction would be like, something unbelievable,... a kind of disappointment, probably interpreted as a loss of wander.....

            6) ....worst than that, if we say that what was found or discovered wasn't a viable theory, but a proved fact.

            7) Then it would become offensive to be part of the millenary problem solution, instead of being a reason for happiness and satisfaction.

            8) The reader approach to the news would be paradoxically adverse.

            9) Instead, I think it should be a nice welcome to discovery, to be received with opened arms and considered to be read with full attention.

            11)Time "existence" is exclusive as a "measuring system", its physical existence can't be proved by science, as the "time system" is. Experimentally "time" is "movement", we can prove that, showing that with clocks we measure "constant and uniform" movement and not "the so called Time".

            12)The original "time manuscript" has 23 pages, my manuscript in this contest has only 9 pages.

            I share this brief with people interested in "time" and with physicists who have been in sore need of this issue for the last 50 or 60 years.

            Héctor

            Hi James,

            > Is so-called empty space the cusp of reality, alternatively something then nothing?

            No, I didn't say this.

            > How do you make this physics foundation solid ? of the pyramid?

            I am not sure what you mean. If you refer to the universe as a mathematical structure, maybe consistency is enough. I am not sure what is "solid", since there is no such thing in reality. Solid objects only appear to be so. Or "solid" as a thing that can't be destroyed? What can destroy a mathematical structure? Or perhaps I am missing what you mean.

            Best regards,

            Cristi

            Hi Cristi,

            I send you my congrats not only for this new, intriguing Essay, but also for your recent remarkable results in general relativity, particle physics and quantum mechanics.

            Concerning your Essay, you wrote "Suppose we will find the unified theory of the fundamental physical laws. Then what?". This is a fundamental question. Your statement that "if the wave-function is real rather than mere probability, causality as we know it has to be reconsidered" is intriguing and opens various doors. Finally you wrote: "A bottom-up approach may never lead to the understanding of the higher levels, and a top-down approach is not enough." This shows how small we are with respect to the gigantic Nature.

            Your Essay is a remarkable contribution which deserves the highest score that I am going to give you. Good luck in the Contest.

            Cheers, Ch.

              Hi Christian,

              Thank you for your kind comments, I am very honored. I hope this essay contest will catalyse the rigorous research of the connections between the fundamental laws and the emergent systems. While I too dedicate most of my time to researching the fundamental law, in this essay I wanted to emphasize the necessity to also consider the metalaws. I wish you good luck with the contest!

              Cheers,

              Cristi

              Dear Cristinel Stoica,

              Please excuse me for I have no intention of disparaging in any way any part of your essay.

              I merely wish to point out that "Everything should be made as simple as possible, but not simpler." Albert Einstein (1879 - 1955) Physicist & Nobel Laureate.

              Only nature could produce a reality so simple, a single cell amoeba could deal with it.

              The real Universe must consist only of one unified visible infinite physical surface occurring in one infinite dimension, that am always illuminated by infinite non-surface light.

              A more detailed explanation of natural reality can be found in my essay, SCORE ONE FOR SIMPLICITY. I do hope that you will read my essay and perhaps comment on its merit.

              Joe Fisher, Realist