Dirac Spinor Wavefunction at the planck scale: quantum gravity, maybe?

[mcgreevymd (Joseph McGreevy)]

Hello,

Just sharing further work on my planck scale quantum gravity model.

This is a 2d representation of a planck scale dirac spinor (a fermion - like an up quark. Massless, relativistic), that solves for the stress-energy tensor.

In particular the T00 term of the tensor is the conserved scalar quantity that is then used to model gravity. The T00 gets used in the poisson equation to relate to gravitational potential. Then from here, since you have both T_munu and G_munu you can fulfill the Einstein Field Equation.

I am working on getting this model into a Wolfram notebook - it may be a few days. But I will update when I do.

Just a note - the gaussian looks elliptical. It isnt - thats just an artifact from the image creation.

[mcgreevymd (Joseph McGreevy)]

Meant to attach this to the original post. This is the wavefunction in 1D. Since the poisson and EFE are all derived from T_munu, you can put them all on the same graph. I dont want to get ahead of myself, but i feel like this relationship is kind of beautiful.