Preon Field:
Gauge Field:
Lagrangian Components:
-
Gauge:
$$\mathcal{L}{\text{gauge}} = -\frac{1}{4} F^{\mu\nu}F{\mu\nu}$$ , where$$F_{\mu\nu} = \partial_{\mu} A_{\nu} - \partial_{\nu} A_{\mu}$$ -
Interaction:
$$\mathcal{L}{\text{interaction}} = q \bar{\phi} \gamma^\mu \phi A\mu$$ -
Spontaneous Symmetry Breaking:
$$\langle \phi \rangle = v$$ (non-zero vacuum expectation) -
Emergent Gravity:
$$S_{\text{gravity}} = \int d^4x \sqrt{-g} \left( \frac{R}{16\pi G} + \mathcal{L}{\text{emergent}} \right)$$ ,$$\mathcal{L}{\text{emergent}}$$ reflects post-symmetry breaking preon dynamics.