The starting point for my picture of gravity is Gauge Theory Gravity. David Hestenes has described GTG as "mathematically equivalent" to General Relativity in his article Gauge Theory Gravity with Geometric Calculus but he shows many ways in which it is easier to use than GR.

Its usefulness to me is that it is formulated in a flat space (and proper time) and the equation of motion of a particle due to another can be written as the sum of a Newtonian force and the deviation due to GR. (See section VI.A and equation 215 of the article).

The Newtonian portion of the effect is a central force and so the combined effects of all particles can be super-posed into a conserved field. This allows an efficient parallel calculation of its dynamics.

The GR deviation, or second term in equation (215), is the contribution from angular momentum, and I consider the effect of this separately. My interpretation (and here is where I differ from GTG and GR) is that this term (considered as a combined effect from all other particles) can be computed from the global properties of an implicate 3-sphere structure.

This contribution can be responsible for the gravitational influence known as "Dark Matter" since it does not depend solely on the "contents" of the implicate space, but on its size (i.e.curvature) and spin. In a way, this can be considered a "modified Newtonian" theory. Whether it is better or worse than Milgromian MOND remains to be seen, but at least it is part of my larger narrative.

Hi Akinbo,

I was not offended by your questions, but I had some difficulty with them, as I was not quite sure what your unstated assumptions were. For example, were we to assume that we had not taken the million dollars out during the day? Was this to be taken as an analogue for a quantum experiment or just a philosophical question about the macroscopic world? Anyway, I thought I might answer with some humor to help make clear the context in which I take the questions.

> "If you wake up one morning and dip your hand in your pocket and 'detect' a million dollars, then on your way back from work, you dip your hand again and find that there is nothing there...

1) Have you 'elicited' an information in the latter case?

Yes, assuming I forgot to take it to the bank once again.

> 2) If you did not 'participate' by putting your 'detector' hand in your pocket, can you 'elicit' information?

No, to elicit information about the cosmos, I need some form of participation. But this could be indirect. In the example, I might draw the same conclusion by looking in the mirror or recalling that pricey lunch.

> 3) If the information is provided by the presence of the crisp notes ('its') you found in your pocket, can the absence of the notes, being an 'immaterial source' convey information?

Yes, especially to my creditors

> 4) Can the existence/non-existence of an 'it' be a binary choice, representable by 0 and 1?"

Yes for some kinds of "its" at some levels of description, but not for others. Consider the difficulty a snowball might have in determining the facts of its own existence: At what point does a melting snowball cease to exist and the puddle it forms come into being? When did it come into existence in the first place?

So I end with a question for you:

5) Do we exist because surely we are thinking, or are we all snowballs that just think we are thinking?

Hugh

Hi Akinbo,

You wrote:

> A great essay! The only thing is that you tried to cover too many phenomena.

I know, my first draft was 30 pages and a lot had to go to get it down to 9 pages. But one of the things I wanted to do with the essay is describe a kind of top-down picture. Many people work from the bottom up, extending their favorite theory, and the question I always have in the back of my mind is "suppose they are right... does it really help?" So I wanted to describe a picture that may or may not be right but at least has a chance because it actually addresses the major observational issues.

Most of my work has been on the observational side. I only started putting together the theoretical picture this year. So I see the first part mainly as providing a motivation for why anyone would seriously ask whether the Earth's topography had a geometric structure. I think it does because I have spent a lot of time calculating statistics on non-public data. But even with publicly available sources you can derive suggestive statistics, as I describe. So it is a falsifiable idea.

With this article, I wanted to start developing a compatible context (virtual worlds and so on). The problem is that a grid structure for topography undermines a lot of geoscience, even as it confirms ancient views. I suspect it will make specialists unhappy, and I wanted to have a wider context available to enhance understanding and acceptance.

> I would have for example wanted you to discuss more on dynamics...

My view is that a computational universe has to be discrete. As I described in the question from Mikalai Birukou (below), I divide gravity into two effects. The Newtonian gravity component can be combined with electromagnetism to have a field that can be used computationally to give classical results.

I found in Ken Wharton's essay a useful idea (his 4D links) for conducting computations that provide quantum effects. I plan to make a posting over there to discuss my ideas with him.

> Do you have a program for digital motion?

I have started working on a simulator for the theory. I do not really believe my own theories until I have simulated them. :)

> Expect a good rating!

Thanks so much!

Hugh

Hi John,

You wrote:

> I myself describe a cosmic paradigm of correlated energy vortices that include the evolving observer while describing a quantum/classical world correlation.

The S3 structure that I kept finding does look like a vortex in perspective.

> The evolving observer, I show, is the missing link in many of our quests. I think it is this that impels Physics' expansion into Bio- and Neuro-Physics.

I think that our inner world is a kind of reflection of the outer world. As the one evolves, so does the other.

> We will indeed find the ancients were right - in fact, a Vortex System of energy fields as I describe it shows that evolution is recursive, and that even facts vanish and re-appear over long periods of time.

The classical view is that the state of the system at any point in time can determine the system at other points in time. I do not think that is a good model for the world we live in, which seems to me to be one of continual forgetting and continual learning. Take the example of history and archaeology. Every year we loose information about the past, as stories and records are lost by death or disintegration. Yet every year we make archaeological discoveries, learning more and more about past cultures.

> Your essay certainly made me focus on what we might achieve with computer simulations in the near future, something that is often unfairly derided. I rated your essay accordingly, and hope you'll soon visit my page and share your insights.

Thanks... I will take a look.

Hugh

Dear Hugh,

Congratulations for writing this engaging essay about how to go about simulating the Universe. It took me some time to read your essay : you discussed many mathematical tools such as Geometric Algebra and permutations of known theories in physics that I was not familiar with. I kept going to Wikipedia and other articles to get a sense of what you were saying!

The role of the observer is stressed in Special Relativity and in the Copenhagen interpretation, and in Bohm's "explicate orders" if I understood that correctly. You take this role for granted and search for a software to represent it. When there is a will there is a way, and mathematics is so accommodating and can eventually describe any physical theory thrown at it. The question is - is'nt there a simpler way - one i which the Universe 'works' whether there is an observer or not?

I believe there is and have started to explore it in my Beautiful Universe Theory also found here. I lack your skill as mathematician and programmer, but will try to explore this new starting point for physics (also explored in my last year's "Fix Physics!"I will now attempt to answer the more specific issues you raised in your interesting note on my my essay The Cloud of Unknowing .

I wish you all the best.

Vladimir

    Great - I am indeed very curious to see what you think once you've read my essay. I very much look forward to hearing from you.

    John

    Dear Hugh,

    I have down loaded your essay and soon post my comments on it. Meanwhile, please, go through my essay and post your comments.

    Regards and good luck in the contest,

    Sreenath BN.

    http://fqxi.org/community/forum/topic/1827

    Hugh,

    WOW, I must say I truly appreciated your objective and analytical approach to the topic at hand! The fact that you are a software developer I also find intriguing since I, and several physicists interested in the findings of my work, are looking into developing new algorithms to apply this new paradigm.

    When you get the chance, I would appreciate if you could review my essay and let me know if you would be interested in further discussions. My email address is on the essay:

    http://fqxi.org/community/forum/topic/1809

    Regards,

    Manuel

      Hello Hugh,

      I very much enjoyed your essay. Very engaging and interesting. I liked that you explored various aspects of the cosmos and objectively displayed historical takes on it. I think that it is important that you touched on so many aspects of physics rather than shy away as other essays have done. If we are every to have a theory of everything, we need to look at the entire picture.

      I work around geometry, which is why I liked the fractal approach. I've partly unified the four forces of nature using a geometric approach (not in my essay), which also resolves the three paradoxes of cosmogony. Interesting that you point out the mass of the Proton from modelling it as a geometric Black Hole. My model geometrically links the masses of the proton, neutron and electron to 99.999988% of prediction. Further, as the data for these masses has been refined over the last few years, the result has improved constantly.

      In my essay you might like the Fibonacci approach. You mentioned Software and Hardware - maybe the Fibonacci sequence is the firmware.....?

      Anyway, well done for producing what I consider to be one of the best essays in the contest. Top marks from me!

      Best wishes for the contest!

      Antony

      Hello Hugh,

      I very much enjoyed your essay. Very engaging and interesting. I liked that you explored various aspects of the cosmos and objectively displayed historical takes on it. I think that it is important that you touched on so many aspects of physics rather than shy away as other essays have done. If we are every to have a theory of everything, we need to look at the entire picture.

      I work around geometry, which is why I liked the fractal approach. I've partly unified the four forces of nature using a geometric approach (not in my essay), which also resolves the three paradoxes of cosmogony. Interesting that you point out the mass of the Proton from modelling it as a geometric Black Hole. My model geometrically links the masses of the proton, neutron and electron to 99.999988% of prediction. Further, as the data for these masses has been refined over the last few years, the result has improved constantly.

      In my essay you might like the Fibonacci approach. You mentioned Software and Hardware - maybe the Fibonacci sequence is the firmware.....?

      Anyway, well done for producing what I consider to be one of the best essays in the contest. Top marks from me!

      Best wishes for the contest!

      Antony

        Hugh,

        I am pleased that my high rating of your essay (10) has helped move your well deserved essay up in the community standings. I was wondering if you had the time to review my essay, and if so, return my rating of your essay in kind if you see fit to do so.

        Best wishes,

        Manuel

        Hugh,

        Great essay. Fascinating to see a view from a software architect. Also relevant, original, well written, and arranged, so all boxes ticked.

        Your comments on Bell interested me as I construct an ontology via a 3D geometry with motion leading to a resolution of the EPR paradox with no FTL, as vo Neumann proposed (the uncertainty emerging at each detector). I'd completely somehow missed Recursive Quantum Gauge Theory it seems, as that seems to parallels and probably precurses my own model. Thank you for that. I'll check it out the moment I stop essay reading!

        As you're familiar with it I hope you may read my essay and look for connections. Mine starts from a holistic model appearing to unite SR and QM which I've discussed in my last 3 successful essays here, interestingly dynamic and hierarchically 'fractal', deriving a coherent and exciting solution to the quasar issue. Again I hadn't read the papers you referred and have them piled up!

        Thanks for that, and a great essay. Worth a higher mark. I hope you can follow mine and look forward to your comments, particularly on the Bell solution which I believe largely consistent with Joy's.

        Best wishes

        Peter

          Dear Hugh,

          I have replied to your comments in my thread. I will read your essay and shortly post my comments on it in your thread.

          Best wishes,

          Sreenath

            Dear Hugh,

            Great essay well showing all the interesting maths one needs to improve our understanding of the real world. I hope you will have time to read mine by the end of the game.

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

            More comments soon.

            A high rate in preparation.

            Good luck,

            Michel

            Hugh,

            Thank you for stopping by my essay page and for your comments. I will reply to them soon. I have noticed that you have chosen not reciprocated my support of your essay. Nonetheless, I firmly believe that your essay should make it to the finals and I wish you the best of luck in the competition.

            Regards,

            Manuel

            Hi Vladimir,

            I went through your Beautiful Universe Theory web page briefly, and what I saw was lovely, and I think, generally consonant with my own views. After the contest I will go back and study it in detail, but it appears to be consistent with a computational approach that defines an "architectural layer" for the physical world. In other words, your "nodes" are the "pixels" in a simulated world such as I describe. However, there may be a philosophical difference in our views, as I think the simulation paradigm can reach below the material level of reality.

            Complex hardware and software systems are usually layered, with each layer interface defined by an "architectural contract" that sets the rules that a lower layer must implement, and that an upper layer can depend on. Upper layers have little information on how lower layers operate (upper layers know only the architectural contract, not the implementation details). Yet upper layers are completely dependent on the lower layers for their operations.

            Lower layers, by contrast, are informed when upper layers do something. They are responsible for carrying out the orders of the upper layers, and so they need to know what is ordered, if not why.

            We can use the word "animate" to refer to the operation of a lower layer that provides the operations in support a higher layer of computation. In this sense, physical computers "animate" a virtual world like Second Life. They provide all the calculations that move things around in that world. The "architectural contract" here are the laws of physics for Second Life.

            As regards our physical world, the conventional view is that Matter is the foundation, and that Life and later, Mind emerges from that substrate. In other words, Matter animates Life and Life animates Mind.

            I would suggest, rather, that Life animates Matter instead of Matter animating Life. Likewise, I think that Mind animates Life and Spirit animates Mind. Defining what these intuitions mean mathematically is a research project, but posing the question in terms of software design allows us to take a new approach to an old philosophical question.

            Hugh

            Hi Manuel,

            I have not voted on any essays yet. My planned procedure is to read as many as I can, then rank them and allow myself (say) one 10, two 9s, three 8s, and so on. Is there a way to tell what rating other community members have given you?

            Hugh

            Hi Antony,

            Thanks so much for your comments. You wrote:

            > I think that it is important that you touched on so many aspects of physics rather than shy away as other essays have done. If we are every to have a theory of everything, we need to look at the entire picture.

            I very much agree with you, in cosmology particularily we need generalists and philosophers as well as theoretical specialists. Otherwise I think it can be difficult for specialists to tell the difference between anomalies that are part of the normal unknowns of science and those that indicate that the foundational assumptions of a given approach must be wrong.

            > In my essay you might like the Fibonacci approach. You mentioned Software and Hardware - maybe the Fibonacci sequence is the firmware.....?

            Yes, I think something like that is happening. A large scale software system is divided into layers, with architectural boundaries defined by interfaces. Below each boundary is the implementation of the interface, and above the users of it.

            To make best sense of the cosmos, I think that we must place the layers as follows: Mind is below (and animates) Life which is below (and animates) Matter. It is in the definition of the Life layer that the Fibonacci sequence plays an important role, and it is this layer which is the foundation for, not only Life, but music and art as well. These pre-exist and form the foundation for the material world.

            > Anyway, well done for producing what I consider to be one of the best essays in the contest. Top marks from me!

            Thanks again!

            Hugh

            Dear Hughes,

            I am quite sensitive to your (software) picture of the cosmos for the following reasons

            1) First but not least, I understand it. I already met (not physically except for Carlos Castro and Laurent Noittale) most of authors you refer to.

            2) Your model is relevant, interesting, of wide range and influencial.

            3) The S3 sphere has several clothes (i) the conformally compactified Minkowski space, as you mention,

            (ii) the single qubit (Peter Jackson call it the intelligent qubit!)

            as described in quant-ph/0310053, R. Mosseri, "Two and Three Qubits Geometry and Hopf Fibrations"

            with the Hopf fibration http://en.wikipedia.org/wiki/Hopf_fibration

            (iv) Dirac Monopole

            , just to cite a few.

            The Hopf fibration of S3 by great circles S1 and base space S2 is that interests me here.

            This is because, in my essay, one important object is S2 (that can be seen as the Bloch sphere, the

            Riemann sphere or complex projective line CP1, you can see http://xxx.lanl.gov/abs/1005.1997).

            Many Dessins d'enfants (those of genus 0) arise from S2 (say) with three singular points 0,1 and infty.

            The idea would be to lift them to S3, through the inverse Hopf map, endowed with three rigidified circles corresponding

            to aforementioned singular points. I wonder is such a picture was ever imagined.

            This would be an instance of your implicate to explicate projection, I suspect.

            Good luck,

            Michel

              Hi Hugh,

              My pleasure. You deserved a great score for a great essay. Thanks for the comments over on my page. I've replied.

              Best wishes for the contest,

              Antony