Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

==== - In QFT, spin isn’t simply “added” in the arithmetic sense; it comes from how fields transform under the Lorentz group. ====
* The photon is spin-1, described by the AμA_\muAμ vector field.
* If you have two photon vertices coupled via a fermion line (electron, spin-½), the effective interaction can be shown — via perturbation theory — to have the symmetry of a rank-2 tensor.
* If that rank-2 tensor field is massless and symmetric, it is a spin-2 field in QFT language — i.e. it transforms like a graviton.

In QAT terms:
Photon absorption (spin-1) → electron intermediate state (spin-½) → photon emission (spin-1).
The composite exchange between two distant electrons could then be modeled as a second-order perturbation of the EM field. If the exchange is coherent and symmetric, it could behave effectively like a spin-2 propagator. That would be your bridge to Einstein’s gravity.

Mathematically, we’d be aiming for something like:

hμν∝⟨0∣T{AμAν}∣0⟩h_{\mu\nu} \propto \langle 0 | T\{ A_\mu A_\nu \} | 0 \ranglehμν∝⟨0∣T{AμAν}∣0⟩
with the electron loop providing the intermediate structure.