Recent content by physicslife

No problem and thanks for all of the careful reviewing and insights, it's been very helpful! And now to go recruit a team of PhD theoreticians!

I agree, renormalization is the challenge of this approach. In the broader context of how ##\mathcal{A}\,## is developed which I only touched on in this thread, there are symmetries available to restrict some corrections (gauge and diffeomorphism invariance). I had originally been thinking to go...

Those two I can certainly outline, this was actually the first thing I checked for when I started looking into this: The classical action is given by $$ S = \int d^4x \, \sqrt{-g} \left[ \frac{1}{2\kappa} R - \frac{1}{4} \langle \mathcal{F}_{\mu\nu} \mathcal{F}^{\mu\nu} \rangle \right], $$...

Ah sorry Mitchell it was a formatting issue, it's meant to represent a normal linear combination of the generators, you can ignore the commas.

I typed up the blow before seeing you most recent comment but I wiill just say I don't claim this as a theory, it's more about whether mediating the standard equations this way is appropriate and if the resulting path integral functions normally or better as a result. Let me address your last...

I see your point, if this were just a semiclassical pairing of the SM with GR, it wouldn’t be true unification. But what I’m describing goes beyond that. Instead of inserting SM fields onto a fixed metric, I’m working with a single gauge field, ##\mathcal{A}\mu##, that includes both...

Ah ok, I needed to refresh my screen apparently. Thank you for the patience!

Hi Yes, I'm having some problems formatting. Thank you for the tip on the preview but it's not working for me. In the preview it looks like this: But when I save it the formatting doesn't work. I'll keep trying to solve it, here's the image for now.

Thank you for the comment and, yes, I now realize I left out some important structural details: To clarify, I’m not relating a 6-component bivector to a 4-component vector. Instead, ##\mathcal{A}\mu## is a 4-component vector field in spacetime (like a standard gauge field ##A\mu##), where each...

Can a single bivector field ##\mathcal{A}_\mu##, defined within a Clifford algebra framework, mediate the following four standard field equations using a covariant derivative ##D_\mu = \partial_\mu + [\mathcal{A}_\mu, \cdot]##? The standard equations are: \textbf{Yang-Mills Equation}: $$D_\mu...