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FQXi FORUM
May 19, 2013

ARTICLE: Video Article: Through a Glass Darkly [back to article]

Lawrence B. Crowell wrote on Nov. 2, 2011 @ 02:21 GMT
There is an interesting paper by Peres which connects the Kochen-Specker theorem with the F_4 group, or the 24 cell. The 117 projectors with the original KS theorem in 3-dim Hilbert space is simplified by considering a four dimensional Hilbert space, or a system of 4 qubits. This involves only 18 projector operators. The space 24-cells is a system of root vectors for the F_4 group. Each root...

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Roy Johnstone wrote on Nov. 3, 2011 @ 01:55 GMT
Haven't watched the video yet but...String theory seems to require *11* dimensions, with *7* extra spatial dimensions for a unified description, otherwise it reduces to separate effective theories for varying energy limits.

Does this mean the octonion description can never completely explain or describe reality for the whole energy spectrum? Wouldn't it therefore need to derive a 6 dimensional compactification that string theory has until now not been capable of producing, when "collapsing" the bulk structure to a single octonion 4D spacetime?

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Lawrence B. Crowell wrote on Nov. 3, 2011 @ 12:19 GMT
There is a relationship between 10 and 11 dimensional string theory. String theory is written in the infinite momentum frame. In 4-dim spacetime this is where one uses E^2 = p^2 + m^2 and break up p^2 = p_x^2 + p_y^2 + p_z^2 with p_z huge. In other words the system is boosted enormously. This is called the light cone or infinite momentum frame. We then have

E = sqrt{ p_x^2 + p_y^2 +...

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Joel Rice wrote on Nov. 26, 2011 @ 19:14 GMT
is there a new paper out - particularly about muons and taus ?

I was just looking in Kevin McCrimmon's book 'A Taste of Jordan Algebras' - page 4 he says that the 'lone exceptional algebra H3(K) was too tiny to provide a home for quantum mechanics.' I guess that applies to Jordan's approach.

Frankly, I think Octonions blow up the idea that spacetime is as fundamental as quanta, but that quanta are consistent with space and time. To put it crudely, complex quaternions define the structure of space, and complex octonions define the structure of matter - ie particles. Physics seems to demand treating spin as a degree of freedom, thus an electron would be treated as a pair of octonionic oscillators.

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Lawrence B. Crowell replied on Dec. 1, 2011 @ 22:00 GMT
It may be that quantum mechanics and relativity are categorically equivalent in the language of octonions.

LC

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Steve Dufourny wrote on Jan. 23, 2012 @ 14:45 GMT
Still the same article for the publicity of false extrapolations and works.

Quaternions and octonions are just mathematical tools, and when you use tools, so you must use them correctly.

Sincerely and honestly and pragamtically and spherically.

Regards

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Joel Rice wrote on Jan. 24, 2012 @ 15:26 GMT
Steve. First of all, it is debatable whether quaternions and octonions are "just tools" or even just human inventions. One can certainly use quaternions as tools, as Hamilton did to re-invent Newtonian physics from scratch - that is one heck of a tool. Further, without that "tool" Pauli would not have been able to deal with Spin, without which atoms make no sense. Further,

Perhaps there...

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Steve Dufourny replied on Jan. 27, 2012 @ 00:11 GMT
Hi Joel,

I can not accept an ocean of confusions and irrationalities(considering the article of course).The real probelm is simple you know Joel. In fact, some universities continue their bad habits. The strings are interesting I agree for the computing. But the people confounds this computing and the possible reversibility with a pure irreversibility of this Times.

The conclusions are bizare. The symmetries imply bizare particules. Or extradimenions. In fact all these extrapolations are just very subjective and irrational. The algebras of pierre paul Jacques are not the probelm , but the utilization and the conclusions, yes. Physics need determinismù and rationalism. We can extrapolate but we must respect several universal foundamentals, like the time constant, c,the 3D,...it is essential. Clifford and Minkowski 's works are not the probelm, but some people interpet them with decoherences. The dimenions are in 3D at all scales. See the Planck lenght and our others calculations like gauge.

The probelm is not philosophical. The probelm is technical. Pauli , Hamilton, Rieman, Poincarré,Clausius,...and friends are not the probelm. But the interpretation,false of their works , yes.

The aim is not to superimpose a serie of works or ideas, or to add several names. The aim is simply to search the truths with a pure deterministic road.

The quaternions and octonions are not realistic and rational. There still the computing is confound. I beleive sincrely Joel that the probelm is more that you can imagine. Always this monney and these investments. The financial markets are bizare Joel ! You understand you why the higgs are searched at the LHC or why it exists Labs which try to create a micro BH. Or why it exists experiments to travel in the times. Or why people can invest to so many stupidities??? What a world Joel.

In conclusion,These geometrical algebras are not foundamental and their predictions are not rational. So why investments to these works without real meaning. It is just a lost of time and a lost of monney. But it is just my opinion of course.

I think that USA must rethink its financial markets,

Regards

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Steve Dufourny replied on Feb. 7, 2012 @ 22:48 GMT
The problem comes from the string theorists and extradimensionalists. Now they are going to invent falses convergences.

I beleive simply that it is the end of strings and extradimensions.

These methods are just mathematical plays without a real respect of our foundamentals !

It is surprising that it is a fashion from USA ! Sometimes the competitions imply stupid conclusions!

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Geoffrey Dixon replied on Feb. 19, 2012 @ 01:54 GMT
More recent take on $T = C\otimes H \otimes O$, if interested. Cheers.

"Division Algebras, Lattices, Physics, Windmill Tilting".

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Vijay Mohan Gupta wrote on Jul. 14, 2012 @ 00:52 GMT
PicoPhysics standard model is different. It considers only one particle type called UCO (Photon of mainstream physics) constitutes all matter in the universe. It may be mass-particles, fields, dark-matter or Radiations.

Based on single postulates Space contains Energy (Knergy) it has explaination for importance of number 3 in physics and establishes three dimensions of space from unary law 'Space contains Knergy'. It views universe at 5-Dimensional reality. Please review and comment on my essay 5-Dimensional Universe by Vijay Mohan Gupta at http://fqxi.org/community/forum/topic/1326

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