Hello Stephen

I think the Universe working as a bistable multivibrator 01010101......

Regards

Yuri

Stephen,

What I wanted to ask is "how can we use your principles to give us something we can test and use?"

What you said might be correct, but can it be confirmed?

Jeff

Hello Jeff

You set me an interesting question! Several interesting branches arise. Firstly, say experiment does not align with the implications of higher dimensional interpretations of the Harmony Set. Then the experiment is suspect! Why? Because we know that the Harmony Set is necessarily a proper model. This may seem to reverse the order of acceptance of a theory, but the evidence from our physical world has a lesser epistemological status that that of the rationalist world. That said, one does not expect that there would be any irreconcilable differences.

Secondly, to time. I have shown that a timelike metronome exists for our universe. That does not mean it is the time we measure, which I think is an effect brought by change of structures relative to each other within the physical universe. This 'physics time' is a vestige of the structure of the fabric of our spacetime background, which would at minimum be closely aligned to expectations of Special Relativity, as best I can read at this early stage.

Our challenge is clear: develop a physical model of the universe in a suitable topology based on the Harmony Set. If such a model shows that the world must be a certain way, then it rests with the investigator to come to understand how the world connects with the model, not necessarily the other way around.

In the end, there must be an interpretation of the Harmony Set that is an exact model of our world.

Best wishes

Stephen Anastasi.

Hi Yuri

Your point being? Justified by? Justification of that justification?

I want, indeed we all want, a causal rather than descriptive theory. That is what I have supplied.

Hello again Akinbo

Thanks for this post, which I missed among the others. Some comments:

This essay was a story about (or, more strictly, an account of) the origin of the world, meaning all that is. It was also a story about the origin of the physical universe, why and how it comes to be at all and, in so far as one essay could contain it, why and how it comes to be as it is. It is not a story about the first three minutes. It is not a story about the first seven days. To talk about these latter things we must first find a basis for time, space, physics, mathematics and perhaps religion. These latter things quickly reveal themselves to us once proper foundations have been laid.

Only then can we touch on the initial evolution of structure at the beginning of time, existence of physical structures like galaxies, stars and planets, people and minds.

In other words my essay aims to illuminate First Cause, a supposedly impossible task. First Cause means the first cause of everything; the thing that brought everything else into existence, including ideas of position and spacetime. Why we expect there to be First Cause is because, while there is a world, there might have been no world, or it might have been different to how it is. As such, the world as we find it is what is known as a contingent being. All contingent beings ultimately depend on a necessarily existing thing, meaning a thing that cannot not-be, a necessary being, for its existence or the form of its existence. This being may or may not have been a 'being' as we think of beings, or it might me a condition of the world, some inescapable law or fact of the universe. It was shown to be an inescapable principle of equivalence.

For our work to be more than just supposition, I had to answer the question:

Is there any knowledge in the world that is so certain that no reasonable person can doubt it? (Russell 1978)

because certainty is the prime requirement if we are to claim that a condition is necessarily the case. Otherwise it just 'might be' the case. So anything less is not an answer at all, for if there is doubt, then our efforts are no more than conjecture. Presently, despite the illusion of knowledge through physics, mathematics and indeed any discipline, all is conjecture, as the philosopher is keen to point out.

Holding a principle that can only be the case, independent of human centered notions, changes the import of inquiry. Rather than considering how the world might be and looking for evidence to support it, as is the way of science, we ought to admit that we hold a model of an actual condition of the world, to which the world must comply. Then the development becomes active, rather than passive. More than this, we found that this condition of the universe is the engine that drives the world, drives change. Proving the necessary truth of such principle is, of course, the same kind of challenge as that which faced René Descartes in proving the particular, 'I think, therefore I am,' and, being endpoint skeptics, I applied his method of doubt.

Moreover, it became clear that holding such knowledge provided very direct methods of inquiry and allowed us to turn our back on our everyday world for a while and get to the heart of things. This ability to turn our back on the world as it appears to be to us, is essential if a person wants to get at truth. The idea that studying the spacetime objects of our world, as do physicists (of which I am one), can in any way inform on the nature of that which gave rise to these objects, is a flawed idea, for it is to seek cause from effect, and this can at best only be a guess, as the philosopher David Hume argued with reasonable effect in the 1700's.

In that light, the idea of position assumes an idea of and existing background space. The Endpoint Skeptic is not in a position to accept that space is well-founded. Indeed, when placed in the possible ontology, every 'position' is different from every other, and there is no connection sustainable between them (see my comments on Grupp in the essay).

Zeno's paradoxes are generalized in my wider argument. His argument was against the possibility of infinitesimals. Mathematics purports to deal with this through the introduction of limits. But Hilbert highly doubts this as a proper solution, recognizing that it just shifts the problem on step to the left. I agree with Hilbert and find that my argument is global. Of course, Zeno's paradox and other aspects are all founded on a human-centered assumption of a background space/spacetime, where my work generalizes the problem beyond spacetime concepts. It doesn't matter what background one assumes, the system freezes and indeed degenerates to my so-called minimally simple omnet, thence generating a new world with extension. The extension is in the interactions of the system, and the idea of monad, if one wants to retain the idea, needs to accommodate/be made to conform to the structure of the Harmony Set and its equivalent descriptions in other dimensional interpretations.

One needs to be very careful with this last idea of different but equivalent interpretations, and I have wrestled with these for some time. In three space, one has to, loosely speaking, 'spin' the vectors into the space, which creates fuzzy objects, meaning the values of the vectors are spread into space, and the negative pointing vectors incorporate square root minus one, not evident in the lower dimensional Set. These seem to be interacting fuzzy balls, in a simplistic interpretation. I guess if one flipped the vectors, the positive would become negative and vice versa, so one would say it has spin 1/2, maybe. Just typing as I think here. Haven't really considered these as being equivalent to electrons before, and they probably aren't. Probably...

Hi Stephen,

As I promised in my Essay page, I have read your Essay. I have found it interesting, also from the philosophical point of view. It is surely a good thing that your model is consistent with the Holographic Principle. I had a lot of fun in reading your Essay. Thus, I will give you s high score.

Cheers,

Ch.

Dear Stephen,

You have offered an interesting and attractive written essay. And for me more valuable that you have critical and realistic position, which are close to me. I will reading it more carefully then I will tell you some more certainly. I hope my work ESSAY may deserve your attention because it also call to realism. I think we can have many common points. I hope on your response in my forum.

Sincerely,

George

    • [deleted]

    Dear Stephen,

    I did not yet rated your essay, but now I will quickly do it (on good nine point!) You see as it better for you! (And were from you known the Armenians?)

    All the Best!

    George

    Stephen!

    Thank you for your good attitude. I have some atherantes also; if you see it will reasonable then I will recomended them your work. Kindly let me know.

    Sincerely,

    George

    Dear Stephen

    Just impressed by Penrose

    http://www.ideasroadshow.com/issues/roger-penrose-2013-07-12

    http://www.amazon.com/gp/product/0307278468/ref=as_li_qf_sp_asin_il_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0307278468&linkCode=as2&tag

    Yuri

    I am very keen to bring other people on board with this project. The next steps are even harder than working out the one dimensional model. For example, how does one spin a one dimensional solution into 3-space while maintaining equivalence (I have some ideas)? So any assistance would be welcome.

    So thanks!

    Dear Stephen,

    Your essay is clear, relevant and pleasant to read. The omnet vs asset distinction works well if one considers Wheeler's approach.

    Reading you, I have tried to recognize omnets and assets in my model of quantum observables/measurements

    http://fqxi.org/community/forum/topic/1789

    and it is clear that one cannot identify the dessin/omnet (see for example Fig. 1 (b) and 3 (b)) to its resulting geometry/asset (see for example Fig. 1 (a) and 3 (a). There is no bijection between the omnets and assets, right? In my case there is not bijection. To any simplex (not shown) correspond several unequivalent dessins.

    Good luck,

    Michel

      Hello Michel

      I am working at the moment, so will read your paper and consider your thoughts in that light, tonight, then I will get back to you.

      Hello Michel

      I responded to you on your own page, as a start

      The danger in aligning dessin with omnet is that one may easily forget the distinction between omnets as 'just anything' (what I call possible omnets because the thing we call an omnet, if based on empiricism is not well-founded) and omnets of the actual ontology, being omnets that are well-founded, meaning existing as a consequence of the action of the GPE noumenon upon the possible and actual ontology. Your dessin, if I read you correctly, are models of structures we believe to exist based on empirical studies. They may be a correct description, but would not be well-founded for the Endpoint Rationalist or Endpoint Skeptic.

      I will need to think more on the concept of bijection.

      Thanks for your interest.

      Stephen Anastasi

      Dear Stephen,

      It seems that I am still far from understanding philosophical categories. But it is unimportant here.

      I am preparing a response to your questions and later, if you wish, we can continue our exchange by email.

      I am very glad that you are enthusiastic.

      All the best,

      Michel

      Dear Stephen,

      As you gave a perfect summary of what I did, I don't have much to say.

      You write

      1. "not only does the universe collapse to a single minimally simple omnet, all of mathematics went down the tube with it.",

      The translation of this sentence would be the Belyi theorem (see the step 3 in my Sec. 2 giving the definition of a child's drawing) and the property that the child's drawing D itself is the preimage of the segment [0,1], that is D=f^-1([0,1]), where the Belyi function f corresponding to D is a rational function. All black vertices of D are the roots of the equation f(x)=0, the multiplicity of each root being equal to the degree of the corresponding vertex. Similarly, all white vertices are the roots of the quation f(x)=1. Inside each face, there exits a single pole, that is a root of the equation f(x)=\infty. Besides 0, 1 and \infty, there are no other critical value of f.

      Sorry about the technicalities.

      2. "the thought that a compatibility (i. e., commutativity) diagram of observables has a kind of engine that drives it: a dessin d'enfant (a child's drawing). "

      Yes, exactly. I leave you free to translate it in the GPE language. The point is that you can have many 'engines' for a given compatibility diagram, a kind of redundancy. For your example of the 3-simplex, e.g. the tetrahedron, I just checked that there are 6 distinct dessins/engines, for the 4-simplex, e.g. the 5-cell, there are 13 distinct dessins/engines that can be built with the cartographic group C2+ as the constructor [my equation(1)]. It would be interesting to understant what means this non-bijection in your approach.

      3. Orientabilty: we need an oriented surface like the Riemann sphere, or a torus, not a Möbius strip (that is not oriented). Thus the dessin is more than a graph and corresponds to a permutation group P with two generators, as given in my step 2 of Sec. 2.

      One needs to develop some familiarity with these concepts, then they become natural.

      I anticipate an unexpected and fascinating complementarity between your approach an the one based on Grothendieck's concepts.

      Thank you for your enthusiasm about this work.

      Michel

      Hello Stephan

      Richard Feynman in his Nobel Acceptance Speech (http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html)

      said: "It always seems odd to me that the fundamental laws of physics, when discovered, can appear in so many different forms that are not apparently identical at first, but with a little mathematical fiddling you can show the relationship. And example of this is the Schrodinger equation and the Heisenberg formulation of quantum mechanics. I don't know why that is - it remains a mystery, but it was something I learned from experience. There is always another way to say the same thing that doesn't look at all like the way you said it before. I don't know what the reason for this is. I think it is somehow a representation of the simplicity of nature."

      I too believe in the simplicity of nature, and I am glad that Richard Feynman, a Nobel-winning famous physicist, also believe in the same thing I do, but I had come to my belief long before I knew about that particular statement.

      The belief that "Nature is simple" is however being expressed differently in my essay "Analogical Engine" linked to http://fqxi.org/community/forum/topic/1865 .

      Specifically though, I said "Planck constant is the Mother of All Dualities" and I put it schematically as: wave-particle ~ quantum-classical ~ gene-protein ~ analogy- reasoning ~ linear-nonlinear ~ connected-notconnected ~ computable-notcomputable ~ mind-body ~ Bit-It ~ variation-selection ~ freedom-determinism ... and so on.

      Taken two at a time, it can be read as "what quantum is to classical" is similar to (~) "what wave is to particle." You can choose any two from among the multitudes that can be found in our discourses.

      I could have put Schrodinger wave ontology-Heisenberg particle ontology duality in the list had it comes to my mind!

      Since "Nature is Analogical", we are free to probe nature in so many different ways. And you have touched some corners of it.

      Best,

      Than Tin