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.摘要 我们在广义扭曲时质量（Generalized Mass as Twisted Time，G-MaTT）框架下从第一性原理推导出引力的本质，证明引力表现为原初势场$mathcal{M}_mu$中失同步的$hat{M}_mu$扭结之间的分数纠缠。该理论可复现牛顿动力学与广义相对论效应，且无需引入时空曲率或引力子，就能自然纳入暗物质与暗能量的描述。引力势可表示为： $$mathscr{E}_{kj}(r) = mathscr{E}_0 e^{-r/c au} cosleft(frac{G( abla imesmathcal{M}_k)( abla imesmathcal{M}_j)}{hbar r} ight)$$ 在经典极限下可还原为牛顿引力定律。引力乃是前几何分支阶段未能完成同步的扭转扭结之间的剩余相互牵引作用。至关重要的是，我们证明了引力子并非作为基本粒子存在——引力波乃是$hat{M}_mu$演生场中的集体扭转激发。该框架可解决等级问题（hierarchy problem），提供自然的紫外完备性，并给出多项可检验预言，包括扭转调制引力波与宇宙空洞中的增强退相干效应。