Recent content by garrett

I suspect the magic formula you're looking for is $$ Q e = Y_W \frac{1}{2} g' \cos{\theta_W} + T_3 g \sin{\theta_W} $$ The electric charge, weak hypercharge, and weak isospin axes are scaled by their respective coupling constants, and particle charges come in integral (or fractional integral...

Well, for one thing, I'm investigating how it relates to BCJ duality.

You are not the only one. This observation is at the heart of the BCJ duality conjecture. See, for example, https://arxiv.org/abs/1507.06288

Marcus will be greatly missed.

Julian, when you add content to Wikipedia, you are making a gift to the world. If that gift is copied and printed, even in someone's book they sell, more people will read it, and you should be MORE happy, as more people are benefitting from your gift. Also, readers of that book might then...

Thank you, Alberto, that's very flattering. But it may also be that this new idea is wrong. I think it has a lot going for it, but I'm biased, and one always has to remember that, in science, human wishes and dreams, no matter how wonderful, can never change nature's mind. So if a theory is...

Well, this is the million dollar question. Somehow, according to this new theory, our spacetime must be a superposition of these three triality-related spacetimes, with fermions having masses related to the parameters of how these spacetimes are embedded and related. This would need to produce...

Hello martinbn, The general idea of the model is to begin with a high-dimensional Lie group, which has a natural connection and metric, then embed de Sitter spacetime in this Lie group and allow the Lie group to deform, described by variations of the connection, guided by a Yang-Mills-type...

Marcus, you caught me being lazy. I must have been so enraptured with theoretical manipulations that when I hastily looked up the value of the cosmological constant I pulled it from this paper: http://cds.cern.ch/record/485959/files/0102033.pdf But that value is very outdated, and now off by a...

"Discovery" in this context means 5 sigma.

Superparticle bet: Max Tegmark​, Frank Wilczek​, and I agreed on an extension, now decided by discovery of a superparticle by July 8, 2016.

Best way to keep track of them is to think of them with respect to their corresponding connection. (Of which there are many.) Yes, the curvature of the de Sitter connection includes the torsion, and the Riemann curvature, AND minus the frame squared. Because the torsion vanishes and the Riemann...

(Sorry for the delay, it's been a busy few days for me. Also, my responses here are not necessarily in correct temporal order.) I was referring to the success of the Spin(10) GUT in several different aspects; specifically, in the appearance of correct Standard Model hypercharges when fermions...

The LGC idea begins with Cartan geometry, as a deformation (or excitation) of a Lie group G', and then generalizes to what can happen when G' is a subgroup of a larger group, G. And, yes, it's simple, and, yes, that's all one needs to build a ToE.

I provided a solid reference, and a succinct description. Perhaps you don't know Sharpe's book, or anything for that matter, as well as you think you do. This is from Sharpe: I prefer the descriptive "deforming" to "lumpy," but the concept is the same. Perhaps you should compose a note to...