Essay Abstract

Beginning with Nothing and employing one operation/relation -- Difference -- we show how the foundations of space and time naturally emerge. By simply counting discrete differences properly, a natural definition of position and velocity, a maximum velocity, and relativistic addition of velocities are derived. When differences are arranged in self-referring reentrant expressions, core elements of dynamics also emerge including memory and clocks.

Author Bio

Richard Shoup received his B.S. in Electrical Engineering and Ph.D. in Computer Science from Carnegie Mellon University. He is currently President of the non-profit Boundary Institute in San Jose, California (a non-profit research group similar to Perimeter Institute, but without all that distracting funding), where his research interests include foundations of physics, mathematics, and computer science.

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Hi Richard,

As you know Wolfram and Conaway have tried similar ideas, your idea is another "trick" that seems to work. Actually your thought process is very much what had lead me to discover my system. I started with an idea that I thought it would be fun to see what happens, but with an extraordinary luck my system directly lead to the known physics.

I have been in the computer field for 25 years as CIO/CTO. I guess we the engineers have intuitive feel for how nature works because it is like a system. Physicist seem to look at it as if it is a football game where they have to deduce the rules.

Please check out my essay, you will be very pleased. You can run the JavaScript programs(which are so easy) and see how quantum mechanic naturally arise. And maybe you can get some idea to further develop your system.

Essay

Thanks and good luck.

Hi Richard,

This is a worthy contribution to the contest. It is nice to see an essay whose theme resonates with my thinking. I believe like you that we should start from the most primitive and build our physics up from there. Since I agree with a lot of what you wrote, let me only point out some of the areas that need clarification leading to agreement or disagreement.

1. In Fig.2, if 'Nothing' separates the ordinal or cardinal sequence of 'NotNothing', then we may have OneThing. Discreteness may not be explainable.

2. I agree that "The first and smallest possible step away from Nothing is ... NotNothing". Since Nature is economical, I propose in my essay that not only is this the first and smallest step, but it is the ONLY step Nature uses to create the illusion of multiplicity.

3. It is suggested in your essay but you did not state it categorically. Is ' NotNothing' eternally existing or can it perish?

It is on these three areas that we may have differences in opinion.

Best regards and all the best in the competition,

Akinbo

Richard,

Your initial idea is the classic concept of differentiation of the primal self-existent "Void" into various phenomenal worlds. Your later development is creatively clever, I haven't previously seen an attempt to relate probability logic to relativistic velocity transformations etc. My own essay engages the relativistic dynamics of charged systems in spaces of various dimensions, in an attempt to explain why our space has three. Best.

Hi Richard,

I love how you start with a very simple, discrete model. No need to complicate things if there isn't a reason.

I have a question though... Does the order of your + and - sequences in the two velocities play a role in how much time has passed when they are added together? From your relativistic addition of velocities formula, it seems as though it won't affect the added velocity. But is it true that if a + and - in one of the velocities was swapped, 5 moments would pass instead of 7, but the result would still be the same added velocity?

Also, not to inject continuous mathematics into the discussion, but some of your offsetting +s and -s reminded me a little of destructive interference in waves. Any thoughts?

Please check out my Digital Physics movie essay if you have the time.

Thanks,

Jon

I think I have a ToE. I've succeeded at uniting the big and small. and explaining many mysteries within the model. Well, it is still developing. My current effort is single photon interference.

I started for physical concepts Is there such a thing as ``a void'' between objects. My first concept was there must be 2 components whose interaction produces the universe. One doesn't do it - no interaction. Your difference produces a void - which I think is not existent in our universe.

Hello Richard,

I have a little trouble getting something from nothing and will let others take care of that origin problem. But I do know where the physical regulator of time is located and how it works. Every speck of the Universal Vacuum is locked at the same pace by the dynamic shape that packs best.

Richard - Thanks for an interesting essay! You and I see creation beginning with the identical distinction --- one from Void. Although I get there by following the metaphysical holes in math and physics and would not agree that the process can bootstrap itself.

Regards - George Gantz

Dear Richard,

The scope of your essay is certainly very ambitious, and you present some intriguing ideas. In the spirit of constructive criticism, allow me to mention an issue that I have noticed.

In reference to your initial void, you say "It has no consequences or effects, and cannot be named, referenced, or pointed to", then you introduce as "The first and smallest possible step away from Nothing" NotNothing and say that "in discussing emergence of space and time, we will need only this most-basic primitive--Difference--in order to begin the emergence of both space and time below."

I believe that there is a logical problem here, and showing this involves treating two cases.

First, suppose NotNothing is to be parsed as (neg)Nothing where (neg) is the negation operator. But that would mean that the negation operator has a referent, it refers to Nothing, or the Void. But above you said that the Void"cannot be referenced, or pointed to".

That rules out the possibility that NotNothing is (neg)nothing and brings us to the only other possible alternative, which is the second case: That NotNothing is "something" considered as a whole. But if "Notnothing" is considered as "something" as a whole, it is not definable in terms of anything more basic (in particular, not definable in terms of (neg)Nothing because that has already been ruled out). But then that means Notnothing is a primitive by the definition of what a primitive is, namely, something undefinable in terms of something more basic. But this contradicts your claim that the most basic primitive is the difference between NotNothing and Nothing.

Incidentally, the difference in and of itself is problematic because it has two referents, Notnothing and Nothing, and this conflicts again with your claim that Nothing is not a referent. I don't think it is possible to claim that the difference does not have referents because if that were the case, then the difference would lose its meaning. Consider that generally the meaning of a difference is such that the difference between two appropriately comparable objects is another comparable object. In your case of distances, the difference between two distances is another distance. So it seems that the difference without the referents of which it is meant to be the difference would simply fail to mean that. It is possible that you might have meant something like a difference operator, but then I think you should state that more clearly.

In fact, reframing your introduction in terms of a difference operator might possibly save your work from the apparent inconsistency above.

Again, I think you present some intriguing ideas, my criticism was given with the best possible intention, that we learn from each other. I hope you found it useful.

Best wishes,

Armin

    "Here we see the real nature of relative motion and the basis for the space and time dilation of relativity."

    Sorry I don't see anything like that in your essay. In 1905 Einstein informed the world that "the basis for the space and time dilation" is his constant-speed-of-light postulate.

    Pentcho Valev

    @shirazi: Thanks for the thoughtful comments. Yes, everyone says this at first, thinking of the usual idea of an "operator". I use that word only because I don't have a better one. Perhaps I should have made one up, or at least explained it better. The key thing is the idea of the boundary, not really an operator on one or two referents. The First Distinction IS the first object. This is always hard to get because it goes against our everyday classical experience with objects, and is one notch below it and prior to the usual logic or set theory starting places. -- Richard

    Dear Richard,

    Excellent and profound essay! I enjoyed reading yours. I do believe we need at least two to start an exchange between two fundamental element that is actual one element that splits itself up into two so that it can evolve and exchange with each other to fo-evolve and so one. It is bootstrapping itself. It is pure magic.

    I agree with you that "Mathematics is generative, dynamic, and alive." Yours deserved a high score and please look at mine and yes it is true we are searching for the fundamental truth.

    Best wishes,

    Leo KoGuan

    4 days later

    Dear Richard,

    Xuan Yuan about 4712 years ago already stated in The Four Canons, 11 explains how things come into beings, from the "Void" without distinction: "All things had been one whole before the Heaven and Earth split... with no distinction of day and night, Yin and Yang. Since Yin and Yang were not separated yet, it was not possible to name anything. Now that one is divided into two: Yin and Yang, and the four seasons distinguished... become the norm. The enlightened take it as the Dao, which is profound and subtle, and follow it in whatever they do. Following the Dao is the same as handling the relationship between the female and the male. When there is attraction between the two, then follows the union of the assertive and the receptive. They complement each other and give birth to new forms."

    Here another quotation from Zhuangzi Derived his thought from Xuan Yuan more than 2000 years before him that describes how a difference causes Existence, here is the quotation for your review: "Heaven, Earth, and I were produced together, and all things and I are one. Since they are one, can there be speech about them? But since they are spoken of as one, must there not be room for speech? One and Speech are two; two and one are three. Going on from this (in our enumeration), the most skillful reckoner cannot reach (the end of the necessary numbers), and how much less can ordinary people do so! Therefore from non-existence we proceed to existence till we arrive at three; proceeding from existence to existence, to how many should we reach? Let us abjure such procedure, and simply rest here." See Legge, James. trans. Zhuangzi, "The Adjustment of Controversies"; See also Watson, Burton. trans. Zhuangzi: Basic Writing, "All things equal."

    Yes, something more fundamental is change/difference itself as the source of Existence. However, they did not have the latest knowledge that we have, they had no theory with equations and numbers derived from those equations. KQID fixed these problems and stated that Existence has one Source Qbit(00, , -), one Principle Giving first Taking later; one theory bit is it; one Zeroth equation with one normalized number "1"; and one quantum entangled Existence.

    Thank you for your great contribution, I hope I can add mine.

    Truly yours,

    Leo KoGuan

    4 days later

    Dr. Shoup,

    Lucid paper. Challenging. Cogent and readable.

    When you discuss sqrt(-1) ("i" or "j") logic configurations you specify that these are "abstract." I'm assuming this usage is in the spirit of Turing discussing TMs or, maybe more appropriate here, non-deterministic TMs. Also I'm keeping in mind Venn's expressed doubt, contra Boole, that formal logic could ever pull off a move analogous to the square root of a negative number as contained in mathematics. Additionally, in the opposite direction, I'm aware of Spencer-Brown's four classes of statements (true, false, meaningless and imaginary). Anyway:

    In your opinion, is what in effect would be an "i" gate physically realizable and does it matter?

      Your work illumines with your co-ordinal authorship.

      -Sincerely,

      Miss. Sujatha Jagannathan

      Is a paradoxical statement (X=~X, or "This sentence is false") the same as an imaginary statement (per Spencer-Brown)?

      7 days later

      Dear Richard,

      I think Newton was wrong about abstract gravity; Einstein was wrong about abstract space/time, and Hawking was wrong about the explosive capability of NOTHING.

      All I ask is that you give my essay WHY THE REAL UNIVERSE IS NOT MATHEMATICAL a fair reading and that you allow me to answer any objections you may leave in my comment box about it.

      Joe Fisher

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