Thank you Jim - I look forward to reading your essay. To borrow from your analogy, I think the concept of jump-starting is far more convincing than that of boot-strapping.

Cheers - George

Thank you Tommaso!

Yes it is quite an interesting problem to "get it all started." We are all doing our best, but I'm afraid it will always fall short. Our finite human minds (even if aided by a very large but still finite set of extremely fast universal computing machines) will never fully grasp the elusive set of all sets, or the ultimate largest infinity, our, indeed, the essence of Void or Voice. The best we can do is tell each other stories!

While there are two "stages" in my mythology it is actually a three-fold process, and in that sense maps to Christian theology or Hegelian idealism --- but I couldn't find a good way to craft if that way. The second and third folds are both part of the second stage - coming-into-being as space and the associated becoming as the arrow of time or intentionality. Another way to think about this is to view Form as Divine Wisdom, Cosmos (space) as Divine Love and Intentionality/Movement (and time) as Divine Action. In that sense the dialogue between Void and Voice (thesis / antithesis) finds its synthesis in the totality of creation (Form, Cosmos, Purpose).

Regards - George

Jose - Thanks for the comment. I look forward to reading your essay.

Thanks for the reference to symmetry. Symmetry has a particulalry interesting role to play in the story of creation/existence that we are all trying to work out, and many essays are grappling with that.

Interestingly, zero and infinity would both seem to have symmetry with infinite degrees of freedom. That is an interesting starting place, would you not agree? Symmetry breaks with the first metaphysical distinction of one from 0 - and the diversity of all mathematical forms arise. Symmetry breaks again as the Cosmos of physical reality (3 spatial dimensions, 1 of time) emerges.

And yes, one can choose to look at creation as entirely physical by focussing on the 0, or as infinitely purposeful / spiritual by focusing on the infinite. Interestingly, in Reimannian geometry the "0" is point in real space, while infinity corresponds to the ultimate in imaginary space.

Regards - George

Dear George Gantz ,

"Interestingly, zero and infinity would both seem to have symmetry with infinite degrees of freedom", (or we can say with zero degrees of freedom). Sure, in principle, that is a right starting point. But practically, we can start from zero, but never reach infinity. So zero can be regarded as a real point, and infinity an imaginary point.

As pointed out by you, we can start from zero in both mathematics and physics. In maths, our zeros are the same. But in physics, my zero has a background where zero meets infinity: the three-dimensional space with reversible arrows and and the one-dimensional time with an irreversible arrow - the infinite time and infinite space together represent the zero in physics. I count 'one' only when matter comes. By adding up finite numbers we can never reach infinity; by adding up matter we can never reach infinity; infinity is unreachable. So my universe is finite. Since the staring point is where zero and infinity meets, there is no beginning: the universe never started from zero and never reaches infinity; it is in an infinite loop.

So either there is no creation or the creator introduced an infinite loop. Both ways, it will appear to be the same. We cannot logically arrive at a conclusion regarding this by analyzing the regularities observable in the universe. Creator, if he decides so, can reveal himself by showing that there are arbitrary changes in this world.

Jose - I think there is a fallacy in thinking about 0 as a real point, or as a place to start. The history of zero suggests that it plays a far more challenging role in the context of mathematics, which actually starts with 1. However, I would agree that the physical universe is finite - bounded at the very small by the planck scale - and bounded at the very large by expansion since the Big Bang. There is neither 0 nor infinity in physical reality, so they are both metaphysical concepts - or attributes of a divine creator....

Cheers - George

Joe - I have no idea what you are referring to. If a comment was posted here and reported as inappropriate and deleted, it was not by me.

Yours truly - George Gantz

Dear Mr. Gantz.

You wrote in the abstract of your essay: "What is the stuff of which the world is made, and how does it work?" Here is my definitive answer.

Accurate writing has enabled me to perfect a valid description of untangled unified reality: Proof exists that every real astronomer looking through a real telescope has failed to notice that each of the real galaxies he has observed is unique as to its structure and its perceived distance from all other real galaxies. Each real star is unique as to its structure and its perceived distance apart from all other real stars. Every real scientist who has peered at real snowflakes through a real microscope has concluded that each real snowflake is unique as to its structure. Real structure is unique, once. Unique, once does not consist of abstract amounts of abstract quanta. Based on one's normal observation, one must conclude that all of the stars, all of the planets, all of the asteroids, all of the comets, all of the meteors, all of the specks of astral dust and all real objects have only one real thing in common. Each real object has a real material surface that seems to be attached to a material sub-surface. All surfaces, no matter the apparent degree of separation, must travel at the same constant speed. No matter in which direction one looks, one will only ever see a plethora of real surfaces and those surfaces must all be traveling at the same constant speed or else it would be physically impossible for one to observe them instantly and simultaneously. Real surfaces are easy to spot because they are well lighted. Real light does not travel far from its source as can be confirmed by looking at the real stars, or a real lightning bolt. Reflected light needs to adhere to a surface in order for it to be observed, which means that real light cannot have a surface of its own. Real light must be the only stationary substance in the real Universe. The stars remain in place due to astral radiation. The planets orbit because of atmospheric accumulation. There is no space.

Warm regards,

Joe Fisher

    Joe - Thanks for the reply. While you suggest your answer is definitive, I also find it incomprehensible. Yes, everything is unique, but everything is also intimately connected to everything else - and those connections and commonality and the regularities they reflect are the subject of physics. Math is the necessary form for all of that.

    Regards - George

    Dear George,

    As you will find out if you read my essay WHY THE REAL UNIVERSE IS NOT MATHEMATICAL, everything is actually physically connected. Only abstract things are abstractly intimately connected by abstract mathematics.

    Joe Fisher

    Excellent essay George..

    This paper leaves me with a lot I want to add or discuss. In this installment; I'll start with the idea that the hole at the center is actually what drives the process of creation, in a manner of speaking. The torus or donut shape is the simplest free-standing form that will propagate in a single medium. Smoke rings are a common example. But did you know you can draw a 7-color map on a torus?

    I notice that your creation myth follows the Biblical example of a seven stage evolutionary process, and I've been studying that this has a strong connection with the Octonion number type. This fact could explain the Creation myth basis, and the seven stage phenomena cataloged by Arthur Young in his Reflexive Universe book.

    My version of the story goes like this..

    One, open, as multiplicity and formless nothingness, finds peace in true relation, and knows all as self.

    Have Fun!

    Jonathan

      To be clear..

      1. Oneness. 2. Openness. 3. As-ifness. 4. Multiplicity...

      Oneness is, in this construction, akin to the void as you speak of it. It is the state beyond or before distinctions, as with the concept of Wu-Ji; neither hot nor cold, light nor dark, great nor small. In other words; it is what mathematicians call a non-commutative space.

      If you add, having neither inside nor outside, this makes it a non-associative space as well. And since we are talking about the void, a place beyond or before entities and contents, it satisfies this condition as well. This is where I tell you that the octonion algebra is non-associative.

      Consider that in an evolving torus or donut shape, the center hole defines how it moves or changes. So on some level; what the hole in creation signifies is that there is always a state of becoming, where something yet to be defined is evolving to be a certain way.

      All the Best,

      Jonathan

      George,

      Thanks for commenting at my essay. I read your essay at your invitation, and found it a beautiful meditation which fits well into my Unitarian Universalist spiritual journey. Indeed, the world is full of paradox and perhaps we really can't ever resolve all of them. I don't think any kind of math can explain or replicate true indeterminism, of the sort represented by the varying life-times of apparently structureless, identical muons (which is "absurd" as Feynman noted.) So as I also offered, we have to fall on our chosen intuitions without knowing for certain if they are correct, or if indeed there is a clear "truth" for them to be about. Your final statement is moving and persuasive:

      "The Whole that Encompasses Creation is that which we believe in yet cannot know - it is what gives each of us purpose."

      Yes, it is the way out of the Hole. Although focused on a specific physical problem (the viability of physics in spaces with other number of dimensions), I too offered the broad insight that we can't know what or why is the "more" than the math we analyse with, but didn't recommend a path. And, although many find purpose in specific work in the world, without a grand framework then that too would not be possible or intelligible or meaningful. Good work.

      Thanks Jonathan - Yes there are many threads that a much longer exposition could delve into - and collaboration would be a great way to do it.

      Thanks for the comment! George

      Neil - I am delighted that you liked my essay. It"s perhaps a difficult message for this audience but I feel it is important and your comment gives me the feeling it is worthwhile.

      Regards - George

      Dear George Gantz

      Thank you for your comments on my essay I will respond on my page.

      Your exceptionally well-written essay is refreshing because it grapples with questions that the sciences have practically banished from educated discourse these days. Yes science and religion do not mesh and I believe should not attempt to try to, but this leaves important questions that remain unanswered, and you have put them into a beautiful gilded Whole Hole Box for further respectful inspection and contemplation. Your WHB is a good place to turn to when multiverses, questions of what happened before the Big Bang and so forth crop up.

      Some haphazard remarks generated by my reading:

      - Like most educated Westerners these days the development of mathematical and scientific thought is neatly channelled into the Greeks-to-Renaissance story. This ignores the important achievements of Hindu, Arab and Muslim scientists, mathematicians and philosophers who have grappled and solved some of the conundrums before they landed in Europe.

      -Another thing is that Buddhist thought ancient and modern has centered on much of the Whole-Hole idea you highlight. Zen of course is wholly focused on the idea of emptying the mind to find truth. The philosophy of Kitaro Nishida centers on the concept of Nothing. I hastily withdraw from further discussion on all of this as my mind is happily materialistic as far as physics in concerned. (While looking for a place to stay in Kyoto my wife an I met Kirtaro's widow, but the rooms offered where impossible: she kept about 60 cats roaming the grounds and the stench of fish and cat litter was overwhelming! That was Something).

      - For an essay centering on the Whole-Hole in the Universe you only mention the Big Bang in passing but there is nothing about the vacuum but that is alright because the thrust of your essay is more philosophical than materialistic.

      - You touch on Quantum and Relativistic mysteries and paradoxes. In my outline theory Beautiful Universe I try to show how the assumption of a Universe of simple mechanical self-assembled dielectric nodes may answer many of these questions in realistic terms.

      What remains of course is to be found in the WHB.

      Ommmmmmmm

      Best wishes from Vladimir

        Thank you Vladimir. Yes I am admittedly limited in my knowledge of near and far eastern contributions and had to smash 3000 years into 9 pages so I left out much. A more thorough treatment would acknowledge the universality of the human quest for understanding in all quarters. Among the more interesting questions that could be asked is whether it is western dualism and binary (true / false) logic that dooms reductionism. Eastern nondualistic logic may have much to offer. Also, hindu and buddhist philosophy seems far more comfortable with the Void - a concept most western thought shuns.

        Much obliged! George

        Hi George,

        A wonderful contribution and quite fundamental. I tend to like such essays.

        Regarding Zeno supporting a conclusion that movement was an illusion, I fully agree that this would be so without some fundamentally significant change in how we view space and time. I however suggest that while calculus is useful to quantify motion, it does not fully address the fundamental basis for it. For example, calculus admits that space is infinitely divisible and Zeno's Dichotomy Argument was formulated to show that with infinite divisibility, motion would not even start in the first place. To avoid the problem, the "infinitesimal" was created, a quantity that can be zero and not zero at the same time, i.e. neither dx = 0 nor dx тЙа 0. When you therefore say, "The invention of calculus fundamentally reaffirmed the notion of space and time as infinitely divisible continua", I have an alternative view. The idea I propose in my essay is that we exorcise the spell cast on our physics by Parmenides, who was Zeno's teacher.

        I argue and try to demonstrate in my essay that what you call, "the process of the separation of One {1} from the Void {0}..." is not just a once and for all event but a continuing event underlying all activity and motion in our universe up till this very moment. Even today, you have yourself caused the process of One from Void several times and vice-versa, the reverse which you did not much discuss, Void from One. Even, if you do not agree with my hypothesis, I believe you will find it interesting.

        Best regards and all the best in the competition,

        Akinbo

          Akinbo - Thanks for reading and commenting on my essay. I'm not sure I agree that infinitesimals were created to answer Zeno's paradox. While the conceptual problems are related, the mathematics are 2,000 years apart. Given the required length of our essays, I had to skip a lot of the historical details.

          Your notion that the distinction of {1} from {0} is a continuing unfolding of creation is an interesting one. In my view, this would occur every time a conscious entity has a conscious experience as that involves a distinction. However, I'm not sure I understand how this distinction per se can be the cause of activity and motion, unless you are referring to this distinction as being caused by consciousness (the Voice) which simultaneously gives existence to both form and substance. In my view the mathematical world of form and the physical world of cosmos are different.

          Sincerely - George

          Dear George,

          Thank you for your comments on my essay - I left some comments about them on my forum.

          Your essay is one of the most interesting I have read so far, and I hope it does well in this contest. I really like your dichotomy "Hole at the Center of Creation" / "Whole that Encompasses Creation". Your concept of "Hole at the Center of Creation" reminds me of this quote from Borges, in his essay "Avatars of the Tortoise":

          "We (the undivided divinity operating within us) have dreamt the world. We have dreamt it as firm, mysterious, visible, ubiquitous in space and durable in time; but in its architecture we have allowed tenuous and external crevices of unreason which tell us it is false."

          I agree with your statement "Assuming that the world is logically consistent, there are truths about the world that cannot be proven from within the world"... but only if "the world" means the finite part of reality that we observe. I believe that the "Whole of Creation" (the Maxiverse) is infinite, and that in this infinity, issues such as Gödel incompleteness no longer hold: therefore, I believe the Maxiverse is logically consistent and contains no truth that cannot be proven.

          I find it interesting that you reference Rudy Rucker's book "Infinity and the Mind", when you say that "in Cantor's paradise of multiple infinities, it is impossible to conceive of the largest infinity". As I explained to Alma Ionescu on my forum, I read Rucker's book back in graduate school and it had a major influence on my own views about reality. The fact, explained by Rucker, that it is impossible for a finite mind to conceive of V (Absolute Infinity, the largest possible infinity) was, for me, not a bug, but a feature: to me, it seemed natural to equate the totality of existence, U, with this Absolute Infinity: U = V. And since V does not contain any information (as Rucker explains on page 136 of his book), this means that the Maxiverse considered as a whole does not contain any information, which makes it plausible that it just "is" --- that it exists by itself, without needing anything outside of itself to bring it about.

          I fully agree with some aspects of your creation story, in particular, the fact that the first stage is the separation of One {1} from the Void {0}. My favorite fiction author, Greg Egan, once said :

          "I suspect that a single 0 and a single 1 are all you need to create all universes. You just re-use them."

          But I have a question about stage 2, the process of coming-into-being. If I understand your story correctly, you believe stage 2 requires something, "The Voice", that stands "outside" the totality of what physically exists and intentionally wills it into existence. But what could this Voice be? If it can have intention, it must be fairly complex, possibly intelligent... but to avoid the need for a Higher Voice to will it into existence, it must be "self-existent"... How can the non-zero information encoded into the Voice be "self-existent"? Where does the information come from? I am well aware that these questions are as old as philosophy itself, and that they are not easy to answer, but I am curious to know more about your opinion about them.

          Marc

            In response to your comment above..

            Thanks again George. I think it would make the world a better place, so I look forward to the opportunity to work with you, collaborating to further explicate some of the threads discussed.

            All the Best,

            Jonathan