Quaternion Spectra by Colin Walker

Thanks for the comments on my page, Colin.

I'm glad you enjoyed the Steinhardt lecture; I thought it was a lot of fun to watch him walk from one side of the room to the other, playing both defending and prosecuting attorney - for the theory he helped develop. I hope your research goes well, and bears interesting fruit.

All the Best,

Jonathan

Dear Colin,

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

Dear Colin,

I very mucjoyed your essay which also touches on the existence topic from the mathematical angle. This is understandable given your Bio. Mine is more from a logician's point of view.

I am sceptical about the Higg's mechanism which you mention. But even if correct some of these issues cannot be fully resolved without the nature of space being put to rest. A 6 rating I think is fair on your essay not being a mathematician myself and being limited in this respect.

Best regards,

Akinbo

*If you would be reading my essay, read the JUDGEMENT in the blog in the case of Atomistic Enterprises Inc. vs. Plato & Ors delivered on Jul. 28, 2013 @ 11:39 GMT. In that judgement points and monads turnout to be the possible bits. Thanks

Hello Colin,

I like the Quarternion approach. I have a theory based on the tetrahedron that partly unifies the four forces of nature and resolves the three paradoxes of cosmogony. Further it relates the relative masses of the proton, neutron and electron to 99.999988% of prediction.

I like how you apply your approach to the Higgs field.

If you get the time please take a look at my essay which deals with dimensionality of observation - perhaps hinting at Black Hole existence, but perhaps suggesting that the singularity can't destroy information and that eventually they release all information.

I note above you had issues yourself accepting black holes and I think you're right to question them.

Best wishes,

Antony

Hi Colin,

Thanks for an intriguing perspective.

> Quaternions arise from the solution of an elementary two-dimensional polynomial, and can be visualized in terms of amplitude and phase spectra by means of a multidimensional Fourier transform.

I share your enthusiasm for quaternions and I advocate the use of Geometric Algebra. In my essay Software Cosmos you can see how these play into both the explicate world that we measure and also an implicate space. These two spaces (one observable, one not) might be linked via just such a Fourier transform.

> Two forms correspond to slices through the octonion vector space and are essentially two-dimensional. The third form is a tetrahedron in three dimensions.

> The Fano plane shows the seven imaginary elements of an octonion having seven sets of quaternion cyclic ordering given by three sides of the triangle (426, 635, 514), the three altitudes (473, 671, 572), and the circle of midpoints (123).

Sounds like this would be useful in constructing models for quantum contextuality. Michel Planat discusses such models in his essay, including the Fano plane. My comment to Michel suggested he look at k-rational points based on Q(phi), the extension of the rationals by the golden ratio. The coordinates of a tetrahedron (and many other polytopes) would qualify.

> I can imagine the picture of existence that emerges could be analogous to a quantum computer operating coherently in the Higgs condensate.

I hope you get a chance to check my essay, as I think my picture nicely complements your views.

Hugh

Dear Colin,

We are at the end of this essay contest.

In conclusion, at the question to know if Information is more fundamental than Matter, there is a good reason to answer that Matter is made of an amazing mixture of eInfo and eEnergy, at the same time.

Matter is thus eInfo made with eEnergy rather than answer it is made with eEnergy and eInfo ; because eInfo is eEnergy, and the one does not go without the other one.

eEnergy and eInfo are the two basic Principles of the eUniverse. Nothing can exist if it is not eEnergy, and any object is eInfo, and therefore eEnergy.

And consequently our eReality is eInfo made with eEnergy. And the final verdict is : eReality is virtual, and virtuality is our fundamental eReality.

Good luck to the winners,

And see you soon, with good news on this topic, and the Theory of Everything.

Amazigh H.

I rated your essay.

Please visit My essay.

Colin - a truly outstanding piece of work. I'm blown away with how few people have noticed the excellence of this essay. You just filled in a critical piece of the puzzle of a mathematical problem I've had for several years. Thank you.

Kind regards, Paul

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