Gravity as Fractional Entanglement in Pre-Geometric Mass-Torsion Theory

Abstract We derive gravity from first principles within Generalized Mass as Twisted Time (G-MaTT), showing it emerges as fractional entanglement between desynchronized $\hat{M}_\mu$-knots in the primordial potential $\mathcal{M}_\mu$. The theory reproduces Newtonian dynamics, general relativistic effects, and naturally incorporates dark matter and dark energy without invoking spacetime curvature or gravitons. The gravitational potential emerges as $\mathscr{E}_{kj}(r) = \mathscr{E}_0 e^{-r/c\tau} \cos\left(\frac{G(\nabla\times\mathcal{M}_k)(\nabla\times\mathcal{M}_j)}{\hbar r}\right)$, recovering Newton's law in the classical limit. Gravity is the residual pull between torsion knots that failed to synchronize during pre-geometric branching. Crucially, we demonstrate that gravitons do not exist as fundamental particles—gravitational waves are collective torsion excitations in the emergent field $\hat{M}_\mu$. This framework resolves the hierarchy problem, provides natural UV completion, and offers testable predictions including torsion-modulated gravitational waves and enhanced decoherence in cosmic voids.