Gravity Is Electromagnetic Warping of Space
Gravity in LIMA-QTE is precisely electromagnetic (EM) warping of space — the central mechanism of the theory, not an add-on.
All matter is knots of EM field energy. That energy density \(\rho_{EM}\) curves the effective metric felt by other knots, exactly recovering gravity.
The equivalence principle holds perfectly: the saturation term caps core fields, making the warping depend only on total energy, not charge — so charged and neutral objects fall the same.
No singularities: the vacuum cap prevents infinite densities, so black holes have finite-density knot cores instead of points.
Core saturation caps fields at \( F^2 \leq 1/\lambda_2 \), forcing core stress-energy
\[ T_{00} \approx \frac{\text{constant}}{\lambda_2} \]independent of charge configuration (difference <4\%, radiated away).
Far-field averaging yields
\[ \langle T_{\mu\nu}\rangle \propto M\,\operatorname{diag}(1,0,0,0). \]The effective optical metric is
\[ g_{\mu\nu}^{\text{eff}} = \eta_{\mu\nu} + h_{\mu\nu}(T_{\mu\nu}^{\text{EM}}). \]Weak-field limit:
\[ \nabla^2 \phi = 4\pi G \rho_{EM}, \]where \( G \approx 1/(32\pi \lambda_2) \) from vacuum stiffness.
To full GR:
The Plebański formulation shows nonlinear EM in a medium reproduces Einstein equations exactly in the low-intensity limit, with the saturated vacuum providing the curvature source.
No gravitons needed — gravity is an emergent geometric effect of EM stress-energy warping the vacuum's refractive index for all knots.
This resolves Einstein's dream: gravity is indeed EM warping space, now derived from the same vacuum that gave us \(\alpha\).
No quantum gravity required — the saturation prevents singularities, and knot quantization handles quantum effects.