Hi Rick,

I just sent you an e-mail with a snippet of code which is the subroutine for color assignment using a 24-bit palette. The choices for colors and ranges created by that code looks like this image for the standard Mandelbrot Set plot.

Good Luck!

JonathanAttachment #1: MandelCrop.jpg

Dear Rick

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don't rate them at all. Infact I haven't issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to gain.

Beyond my essay's introduction, I place a microscope on the subjects of universal complexity and natural forces. I do so within context that clock operation is driven by Quantum Mechanical forces (atomic and photonic), while clocks also serve measure of General Relativity's effects (spacetime, time dilation). In this respect clocks can be said to possess a split personality, giving them the distinction that they are simultaneously a study in QM, while GR is a study of clocks. The situation stands whereby we have two fundamental theories of the world, but just one world. And we have a singular device which serves study of both those fundamental theories. Two fundamental theories, but one device? Please join me and my essay in questioning this circumstance?

My essay goes on to identify natural forces in their universal roles, how they motivate the building of and maintaining complex universal structures and processes. When we look at how star fusion processes sit within a "narrow range of sensitivity" that stars are neither led to explode nor collapse under gravity. We think how lucky we are that the universe is just so. We can also count our lucky stars that the fusion process that marks the birth of a star, also leads to an eruption of photons from its surface. And again, how lucky we are! for if they didn't then gas accumulation wouldn't be halted and the star would again be led to collapse.

Could a natural organisation principle have been responsible for fine tuning universal systems? Faced with how lucky we appear to have been, shouldn't we consider this possibility?

For our luck surely didnt run out there, for these photons stream down on earth, liquifying oceans which drive geochemical processes that we "life" are reliant upon. The Earth is made up of elements that possess the chemical potentials that life is entirely dependent upon. Those chemical potentials are not expressed in the absence of water solvency. So again, how amazingly fortunate we are that these chemical potentials exist in the first instance, and additionally within an environment of abundant water solvency such as Earth, able to express these potentials.

My essay is attempt of something audacious. It questions the fundamental nature of the interaction between space and matter Guv = Tuv, and hypothesizes the equality between space curvature and atomic forces is due to common process. Space gives up a potential in exchange for atomic forces in a conversion process, which drives atomic activity. And furthermore, that Baryons only exist because this energy potential of space exists and is available for exploitation. Baryon characteristics and behaviours, complexity of structure and process might then be explained in terms of being evolved and optimised for this purpose and existence. Removing need for so many layers of extraordinary luck to eventuate our own existence. It attempts an interpretation of the above mentioned stellar processes within these terms, but also extends much further. It shines a light on molecular structure that binds matter together, as potentially being an evolved agency that enhances rigidity and therefor persistence of universal system. We then turn a questioning mind towards Earths unlikely geochemical processes, (for which we living things owe so much) and look at its central theme and propensity for molecular rock forming processes. The existence of chemical potentials and their diverse range of molecular bond formation activities? The abundance of water solvent on Earth, for which many geochemical rock forming processes could not be expressed without? The question of a watery Earth? is then implicated as being part of an evolved system that arose for purpose and reason, alongside the same reason and purpose that molecular bonds and chemistry processes arose.

By identifying atomic forces as having their origin in space, we have identified how they perpetually act, and deliver work products. Forces drive clocks and clock activity is shown by GR to dilate. My essay details the principle of force dilation and applies it to a universal mystery. My essay raises the possibility, that nature in possession of a natural energy potential, will spontaneously generate a circumstance of Darwinian emergence. It did so on Earth, and perhaps it did so within a wider scope. We learnt how biology generates intricate structure and complexity, and now we learn how it might explain for intricate structure and complexity within universal physical systems.

To steal a phrase from my essay "A world product of evolved optimization".

Best of luck for the conclusion of the contest

Kind regards

Steven Andresen

Darwinian Universal Fundamental Origin

    As advertised attached is my JavaScript symbolic algebra tool, along with my verification script for my derivation of the Octonion conservation of energy and momentum equations. Also just for fun is a Mandelbrot set script that can do complex, Quaternion and Octonion iteration loops.

    It requires you to download the free Node.js runtime and has only been used on a Windows 7 machine by me. Expand the attached zip file (hopefully it will be there), read the pdf, have fun.

    RickAttachment #1: OctonionScripting.zip

      Not saying the Leech lattice is not important, just that it has not been important enough to me to put it in front of other things on a list too long for me to possibly get through. I still have a full time job consulting right now having nothing to do with physics or Octonion Algebra which I do on my time, my dime. Sadly this has severely limited my time to participate in reviewing other essays.

      So, maybe it can, can't say with any authority.

      Rick

      Unfortunately I am still working full time doing consulting. This has prevented me from reading many essays in enough detail to reasonably respond or grade, so I haven't.

      Rick

      Thanks for reading my essay. My "truth" was meant to imply truth that exists independent of us or our limited knowledge opinions. It is out there for us to learn, if we listen.

      As I have said a number of times and apologized for, I am working full time and have had time just to scan a number of essays here. Hopefully people will not hold this against me.

      Rick

      Georgina,

      Thanks for reading my essay. I did scan through yours, not with enough detail to comment. As in other posts here I am apologizing profusely for not having time to study the many wonderful essays in this contest.

      I have always appreciated the defense of your positions in your blog participation here. You have more patience than I for a certain individual who will remain nameless. Keep up the good fight.

      Rick

      Thanks Rick...

      I have downloaded the ZIP file from the second link and will report back after a while. I also got the e-mail before, and I will try to process or utilize soon. I have been working on my proceedings submission for FFP15. I'm also trying to read the max # of essays before the end.

      All the Best,

      JJD

      Anonymous votes with no comments to back them up is an obvious deficiency of the "community" rating.

      Going to be cowards?

      Solution to this problem would be for FQXi to publish all votes each participant made, by name.

      "Anonymous votes ..." According to Pavel Kroupa, "Science is not a democracy."

      What are the 4 most important mathematical structures? Could the answer be the real numbers, the complex numbers, the quaternions, and the octonions?

      The octonions Author: John C. Baez Journal: Bull. Amer. Math. Soc. 39 (2002)

      "Division algebras and quantum theory" by John C. Baez, arXiv.org, 2011

      9 copies of the octonions = 64 dimension of virtual particle paths 3 dimensions of linear momentum 3 dimensions of angular momentum 2 dimensions of quantum spin ???

        I think the only "science" exhibited by the community voting system here is social science. The mass down-voting on Sunday on highly rated essays had nothing to do with the quality of these essays, it had everything to do with selfish people trying to elevate their own ranking.

        Too bad, it could lead to the ultimate downfall of FQXi providing the opportunity in the future. If they have to pay people to sort out the worthy papers for awards, because the community fails to do so in a fair and unbiased way, it will consume more money than the total award purse.

        Regarding my essay, I barely got it in before the deadline, so it was not up long enough to gather a significant number of votes such as to dilute any 2-bombs let alone 2. Those votes were not on the merits of my essay. Took me down 75 places. I was an easy mark.

        If people were different than they are, communism would have actually worked.

        Clearly I think the division algebras are the most important, and the lack of associativiy for multiplication is nature's way of telling us others will only give methods that will only provide close approaches.

        There is plenty to look at just within Octonion Algebra itself, this is priority to me, not sticking Octonions in other structures or using it as a means to another end.

        Rick

        Just curious if anyone was successful getting Node.js running with my symbolic algebra tool.

        Even if you are not computer literate enough or don't care to use the tool, you really should download the files and open my provided text file giving the results you will get if you did run the verification script for my Octonion conservation equations.

        The verification script goes through the very same math three times. First it has all 8 Octonion potentials functionally dependent on all 8 Octonion differentiating variables. This is the full complete cover. Next pass the potential functions are limited to those for just the Electrodynamics cover, and you will see exactly what the 4D tensor approach yields but in an Octonion framework. The last pass is restricting the potential functions to those for Gravitation. You will of course see both the Electrodynamics and Gravitation product terms in the full functional dependency first pass. The other terms in the first pass are the glue that holds things together.

        This is not non-associative physics, yet it requires non-associative Octonion Algebra.

        Rick

          9 days later

          I have just begun to play Rick...

          I downloaded the Node JS package last week, then got sidetracked by reading about code execution, blocking vs non-blocking code, and other preliminary bull. I hope to get some time to fiddle this weekend.

          All the Best, Jonathan

          P.S. - I was dismayed to see how your essay and several of my other favorites were bombed at the last minute. I too was bombed and lost more than 20 places in 48 hours, but then I got one or two good ratings afterward so I got lucky. Know that your work is valued, whatever the contest results show. - JJD