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E8 theory

Just came across http://arxiv.org/abs/0711.0770 a theory of everything in which all of the stuff is incorporated into a single connection over spacetime.

This looks very appealing to me. I think I will try to understand this in the context of Bohmian mechanics and my own work on differential geometry as part of quantum stuff. The following quote from the paper intrigues me greatly:

The Riemannian geometry of general relativity has been subsumed by principal bundle geometry — a significant mathematical unification. Devotees of geometry should not despair at this development, as principal bundle geometry is even more natural than Riemannian geometry. A principal bundle with connection can be described purely in terms of a mapping between tangent vector fields (diffeomorphisms) on a manifold, without the ab initio introduction of a metric.

I love Riemannian geometry, but…

See also http://deferentialgeometry.org/
http://en.wikipedia.org/wiki/Antony_Garrett_Lisi
http://www.ted.com/talks/view/id/371

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