Recent content by kneemo

Hi Ghost117 Please read Julian Barbour's The End of Time. After reading it, you will return here and be able to answer your own question.

Greetings One idea to keep in mind is phase transitions. For example, water in a steam state or liquid state is much more symmetric than an ice state with flaws and cracks. If you rotate the ice with streaks and cracks, it's easy to see you lost rotational symmetry. Similarly, imagine...

The strings in string theory are rolled up M2-branes (i.e. two dimensional branes). M2 and M5-branes are supersymmetric p-brane solutions of D=11 supergravity, the low energy approximation to M-theory. To fully explain the origin of these p-brane solutions requires a complete version of M-theory.

First off, M-theory is not yet complete. It's a work in progress and involves very high level mathematics. You must remember that string theory was not originally used to describe quantum gravity. Gravitons, tachyons and string theory's relation to supergravity were found later, as a few...

This is a decent paper to start with: Applied Motives overview

There is a deeper connection that exists here. The mathematics involves higher motivic structures however. Stay tuned for an upcoming paper in October.

The E8(8) grading: 14*+64*+so(7,7)+R+64+14 is a split-octonion grading. The E8(-24) grading: 14*+64*+so(3,11)+R+64+14 is an octonion grading. Both the split-octonions and octonions are contained in the complexified octonions i.e., bioctonions. The corresponding E8(C)...

Yes. This extends the 2003 work of Francesco Toppan http://arxiv.org/abs/hep-th/0307070. When I gave a talk back in 2006 on the 3x3 eigenvalue problem, Francesco asked me if the results hold for 4x4. The problems with 4x4 are: 1. Herm(4,O) does not give a Jordan algebra 2. OP^3 does not...

My point was that certain D=8,10,12,14 Yang-Mills theories have an algebraic structure seen in certain gradings of the exceptional algebras. There are other gradings, sure, such as the "extremal black hole" gradings. These other gradings reflect the structure of Jordan algebras and their...

http://arxiv.org/abs/1404.4709 The Higgs vacuum is unstable Archil Kobakhidze, Alexander Spencer-Smith (Submitted on 18 Apr 2014 (v1), last revised 22 Apr 2014) Abstract: So far, the experiments at the Large Hadron Collider (LHC) have shown no sign of new physics beyond the...

Mysterious duality was mentioned, where D=11 M-theory corresponds to CP^1. Toric grometric constructions were given up to three blown up points, i.e., M-theory on T^3. In the toric construction of CP^2, one builds a simplex with boundary given by circles fibered over three intervals. The...

Indeed every smooth cubic in CP^3 is isomorphic to CP^2 blown up at six points. Hence, M-theory on T^6.

In type I string theory, the Hopf maps were used to classify the types of branes that can end on a 9-brane (http://arxiv.org/abs/hep-th/0606216). The tachyon vev gives a map from S^{k-1} \rightarrow S^{2k-1} for k=1,2,4,8. In a super Yang-Mills framework, the highest Hopf map is interpreted as...

What's curious is the Yukawaon model that Koide uses to derive the Koide relation. He starts with some superpotential and assumes some SUSY vacuum conditions (∂W=0) to get a cubic equation that leads to the Koide relation for the leptons. In supergravity, critical points of a superpotential...

I came across a paper hep-ph/9411381 suggesting the use of three SO(10)'s hitting distinct 27's of E6, in order to properly respect triality. The use of three 27's seems to take one back to the maximal subgroup E6xSU(3)/(Z/3Z) of E8, giving the decomposition: 248=(8,1)+(1,78)+(3,27)+(3*,27*)...