Essay Abstract

I argue that goals emerge when we pass from a microscopic to a macroscopic description of the world. I claim that this emergence is no mystical process in which the microscopic laws of nature suddenly cease to be valid when a certain number of atoms or molecules is gathered in one place. Instead I explain, that macroscopic theories are necessary in order to describe the world on a larger scale, and that these theories, even when they display qualitatively new features, are fully compatible with microscopic descriptions from which the very same features are absent. I explore under which conditions goal-oriented behavior of macroscopic entities can emerge from goal-free microscopic dynamics. I conclude that under these circumstances mindless mathematical laws can give rise to aims and intention.

Author Bio

Stefan Keppeler is a mathematical physicist who works on semiclassical analysis, quantum chaos, diagrammatic representation theory, and interior-boundary conditions. He teaches mathematics at the University of Tübingen.

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I have one main criticism of your essay. I would level the same criticism at the behaviourist's program. You seem to be advocating that laws that explain or that underlie macroscopic behaviour can satisfy our quest for laws explaining goal-orientation. Not to belittle that important endeavour, what, I propose, we seek to know is a deeper question as to where goal-orientation comes from--in a world of objective physical interaction--rather than determine laws that align with its consequences, namely, the behaviours arising from goal-orientation.

    That's interesting. The contest's title is "Wandering towards a goal: How can mindless mathematical laws give rise to aims and intention?"

    I interpret this as follows:

    * Apparently there is goal-driven behavior.

    * The laws, which we believe describe our world, are free from goals/aims/intentions.

    * How can that be?

    This is the question which I address. Do you say that the topic could, or even should, be interpreted in a different way?

    Dear Professor Stefan Keppeler

    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

    Dear Keppeler,

    Your observations are excellent...

    1. In the abstract you said, "I explore under which conditions goal-oriented behavior of macroscopic entities can emerge from goal-free microscopic dynamics. I conclude that under these circumstances mindless mathematical laws can give rise to aims and intention," very nicely.

    2. Your starting sentences of the essay are very good... "Descriptions of the macroscopic world typically feature goal-oriented dynamics. A virus attaches itself to a host cell in order to subsequently make it produce more viruses. A plant may grow leaves in a way such that it can collect more sunlight for photosynthesis"

    3. Macroscopic entities, in the context of this essay, may be as large as humans and other mammals or as small as bacteria and viruses.

    4. Or imagine me filming anything happening around me and playing back the movie for you forwards or backwards. You will be able to tell within seconds whether I chose the wrong time-direction.As common as this observation is it may appear paradoxical when examining more closely the physical laws which ultimately govern the observed processes. These laws, think, e.g., of the laws of classical mechanics, exhibit no preferred direction of time: If a certain sequence of events is a solution to the equations of motion, then the reversed sequence is also a solution to these equations of motion

    I got some observations please...

    You can play the movie in reverse direction. May be classical mechanics support direction of time in reverse direction, like the story of H G Wells on time machine... But in reality time will not move backwards. It never happened and nobody witnessed. Dynamic Universe Model does not support time moving backwards.

    Another Example ...in my essay... "Distances, Locations, Ages and Reproduction of Galaxies in our Dynamic Universe" Galaxy reproduction is the largest reproduction in the Universe. It is described in a MACRO way. Here the reproduction of Galaxies was described with many supporting papers and observations. Now you gave another support. Thank you very much.

    For your information Dynamic Universe model is totally based on experimental results. Here in Dynamic Universe Model Space is Space and time is time in cosmology level or in any level. In the classical general relativity, space and time are convertible in to each other. That is one of the differences in both the models....

    Many papers and books on Dynamic Universe Model were published by the author on unsolved problems of present day Physics, for example 'Absolute Rest frame of reference is not necessary' (1994) , 'Multiple bending of light ray can create many images for one Galaxy: in our dynamic universe', About "SITA" simulations, 'Missing mass in Galaxy is NOT required', "New mathematics tensors without Differential and Integral equations", "Information, Reality and Relics of Cosmic Microwave Background", "Dynamic Universe Model explains the Discrepancies of Very-Long-Baseline Interferometry Observations.", in 2015 'Explaining Formation of Astronomical Jets Using Dynamic Universe Model, 'Explaining Pioneer anomaly', 'Explaining Near luminal velocities in Astronomical jets', 'Observation of super luminal neutrinos', 'Process of quenching in Galaxies due to formation of hole at the center of Galaxy, as its central densemass dries up', "Dynamic Universe Model Predicts the Trajectory of New Horizons Satellite Going to Pluto" etc., are some more papers from the Dynamic Universe model. Four Books also were published. Book1 shows Dynamic Universe Model is singularity free and body to collision free, Book 2, and Book 3 are explanation of equations of Dynamic Universe model. Book 4 deals about prediction and finding of Blue shifted Galaxies in the universe.

    With axioms like... No Isotropy; No Homogeneity; No Space-time continuum; Non-uniform density of matter(Universe is lumpy); No singularities; No collisions between bodies; No Blackholes; No warm holes; No Bigbang; No repulsion between distant Galaxies; Non-empty Universe; No imaginary or negative time axis; No imaginary X, Y, Z axes; No differential and Integral Equations mathematically; No General Relativity and Model does not reduce to General Relativity on any condition; No Creation of matter like Bigbang or steady-state models; No many mini Bigbangs; No Missing Mass; No Dark matter; No Dark energy; No Bigbang generated CMB detected; No Multi-verses etc.

    Many predictions of Dynamic Universe Model came true, like Blue shifted Galaxies and no dark matter. Dynamic Universe Model gave many results otherwise difficult to explain

    Have a look at my essay on Dynamic Universe Model and its blog also where all my books and papers are available for free downloading...

    http://vaksdynamicuniversemodel.blogspot.in/

    Best wishes to your essay.

    For your blessings please................

    =snp. gupta

      Dear Satyavarapu,

      > You can play the movie in reverse direction. (...)

      > But in reality time will not move backwards. It

      > never happened and nobody witnessed. Dynamic

      > Universe Model does not support time moving

      > backwards.

      I agree, time doesn't move backwards. In order to understand this no novel theories are required. Statistical mechanics à la Boltzmann does the job.

      Cheers, Stefan

      Dear Professor Keppeler,

      Thank you for your well-written and interesting essay.

      In general, I agree with your arguments and your conclusions. Of course, this opens the door for investigations into the relationship between the micro- and macro-level descriptions of the world. How and why do both levels of complexity exist? Have you addressed this?

      Yours,

      William

      If you have time, i would appreciate any feedback you might have for my own essay.

      http://fqxi.org/community/forum/topic/2790

        Dear Kigen,

        I'm not sure if you'll consider this an answer to your question but let me try. Macroscopic systems are composed of microscopic components. If we know the laws according to which the microscopic components evolve, then we can in principle (though typically not in practice) describe the behavior of the macroscopic system in terms of its microscopic components - but then me might as well not speak about the macroscopic system at all. A macroscopic description, without reference to every single microscopic component, is not only convenient but mandatory in order to understand the world at a macroscopic scale. This macroscopic description may turn out to be radically different from the description of the microscopic components. Yet, both descriptions can be shown to be compatible.

        Cheers, Stefan

        Hi Stefan,

        Good point. And I wish FQXi.org would have used you formulation of the question.

        Don Limuti

        What I was trying to say is that a law that explains, say behaviour, is not the same as a law that explains the orientation to behave.

        The former is a law explaining a objective observation. The latter is a law explaining something that underlies the observation itself... whatever that might be.

        The criticisms of behaviourism kind of come to the same thing. The criticism is that however clever the observation and the laws explaining them, the underlying nature of their existence are not addressed...

        I'm not quite sure that I understand what "a law that explains the orientation to behave" is. Do you have an example for such a law?

        Anyway, I think I'm be quite happy with theories "explaining objective observations".

        Hi Stefan! Well I finally got around to it, and I agree about as much as I expected to. Rather than offer criticisms of your argument, since I basically agree with it, I think I would suggest places where we might extend and add further detail to the argument. I think Mark mentioned this but it would be nice to be able to say a little more about under what conditions "aims and intentions" do emerge from microscopic dynamics and when they dont. The glass of water vs the human body example is an excellent starting point, and I like the concept of rigidity in describing the 'many degenerate macrostates' of something like the configuration space of the human body. That's a great point, but can we actually give a mathematical criteria for when the amount of macrostate degeneracy leads an "aims and intentions" desciption to be more efficient than a thermodynamic description? If it does somehow scale with the number of macrostates which for which we can't assign probabilities from inspection of the observables of microstates, what is the actual scaling relationship? I'm definitely not criticizig because I don't think I know the answer either, but it seems like it would be fun to think about.

        Finally, great job describing Boltzmann's ideas. You hear people get Boltzmann wrong so often it's really refreshing to see it done well! :)

        --Joe Brisendine

          Dear Joe, these are excellent questions! The answers are not in my essay, simply because I don't know them. In order to find the answers one should probably first study toy models and then more realistic systems. Either would have been beyond the scope of my essay. Concerning Boltzmann - well, I summarized a good summary (Lebowitz) but I'm glad you liked it! Cheers, Stefan

          Dear Mark,

          apparently I didn't properly understand your remark - maybe I got it now, let me try:

          Do you say that I am only (i) explaining how goal-oriented behavior of any kind can be compatible with underlying goal-free laws, but that I am (ii) not explaining what the goals are or who sets the goals?

          If that was your criticism then you're absolutely right.

          I didn't even try to answer questions of type (ii) in my essay. Not because I don't think that they can't be answered. I think we will eventually be able to answer questions of this kind. I also think that the ideas about (i) which I outline in my essay are a first step in this direction. Answering the questions of type (ii) will require a considerable amount of research. I also write this somewhere:

          Have we derived goal-oriented dynamics from goal-free microscopic evolution, as Boltzmann has derived macroscopic irreversibility from reversible microscopic dynamics? Not quite. (...) In order to put our understanding of goal-oriented behavior on a similar footing as our understanding of irreversibility, we would first have to formulate precise mathematical models for at least some simple examples of goal-oriented dynamics. Only then could we try to derive the equations for such models from microscopic theories invoking sufficient rigidity and flexibility. However, what our analysis shows is that, in contrast to what one might have expected, macroscopic theories containing elements of goal-oriented dynamics are not automatically at variance with goal-free microscopic laws!

          Did I finally understand your remark?

          Cheers, Stefan

          Dear Stefan Keppeler

          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, Stefan,

          thanks for the good read, I truly enjoyed your essay! And I agree, our ideas are very much aligned. Let me list a few thoughts that have crossed my mind while reading your essay. By all means, don't take this as a critique, I just want to share with you what you generate:

          1- The second law of thermodynamics seems to be both weaker and stronger than the more fundamental laws. Weaker, because (even if its fans will hate me for saying this) it is approximate. One cannot deduce it from microscopic dynamics, precisely because when reversing all velocities (and parity, or whatever else QM may need) the backward trajectory exists, so no mechanistic deduction is possible. Bolzmann derived irreversibility assuming particles had independent positions and velocities after each collision, which is ultimately not true. He thereby introduced irreversibility. If one discards this assumption, irreversibility does not arise. I do not want to be hard on the 2nd law, however. If we accept that it emerges (overwhelmingly!) from a probabilistic (as opposed to mechanistic) reasoning, it is extremely powerful. In fact, it is in a way stronger than the fundamental laws because, as you point out, it is independent of the nature of the underlying laws, it just emerges from large numbers. It would also arise in many other universes composed of many particles obeying different fundamental laws - probably not all such universes, but a good fraction of them.

          2- I do think we have some mathematical models of goals, I should look them up to be sure. But I know that people working on insect behavior, for example, can reproduce their actions to a remarkable precision, they truly behave as tiny robots. I also believe that the whole topic of neural networks, where local plasticity rules give rise to global oriented behavior are good examples. One can argue that these are just simulations, but that brings me to the third thought.

          3- I liked your search for conditions about rigidity and fluidity. I would be very curious to know how far these concepts can be pushed. One class of systems that clearly exhibits goal-directed behavior is artificial intelligence (including neural networks), with or without some hardware (robot) performing the actions. So even if I can picture your conditions of rigidity and fluidity in biological images, I am sure one can frame those conditions in a substrate-independent fashion, which you have started to do: I have the impression that your comments about the relation between a larger-scale structure, and the lower-level components are relevant in this regard. But I do not quite know whether there needs to be a sharp distinction between these two scales, or something more or less gradual would suffice. What is, ultimately, a sharp distinction? What exactly is a macro-structure? I need to think more about it ...

          So, again, thanks a lot for putting my brain into motion!

          inés.

            Hi Stefan - your essay is eminently clear and sensible... I entirely agree that macroscopic theories are needed to describe the emergent features of larger-scale entities, and that they're fully compatible with microscopic descriptions from which these same features are absent. In fact, as I suggest in my essay, even classical physics is such a macroscopic theory, containing important features that are absent from the quantum description. Evidently the two are compatible, though the relationship is a bit more mysterious than in the Boltzmann case, which you present very well.

            Is classical physics then in some sense goal-directed? Not as we usually think of it. But I argue that empirically, we know that the determinacy of macroscopic physics depends on the possibility of physical measurement (not necessarily by human observers). And I argue that physics is indeed structured just so as to keep on making more measurements possible.

            If that makes sense, then the physical world might reasonably by described as having the "goal" of measuring and communicating itself, somewhat as living organisms have the goal of reproducing, and species the goal of evolving. This isn't to ascribe any mysterious source of agency... rather, in each case there's a "mindless" recursive process that operates because it keeps on generating the conditions for its own success, subject to natural selection when it fails. (This isn't at all obvious in the case of physics, because we tend to take it for granted that things are measurable. But I argue that that the physics of our universe has to be quite complex and finely-tuned to make any kind of measurement possible.)

            Sorry, this wanders from the theme of your essay. You quite rightly point out that the emergence of higher-level behavior is only possible if there's a degree of flexibility in the higher-level structure... but not so much that relevant information can't be maintained over time. Beyond that, I would say the important thing is to be able to keep on repeating the same information and making it relevant in new contexts - which we see happening in very different ways in both physics and biology.

            Thanks for contributing - Conrad