A Riemannian-Geometric Approach to Superdeterministic Bell-Violations: Addressing the Tension between Intrinsic Curvature and Statistical Independence

The foundational conflict between the probabilistic non-locality of quantum mechanics and the geometric determinism of general relativity remains the central challenge of modern physics. This paper addresses the tension by proposing a locally causal framework where Bell-inequality violations emerge as a direct consequence of the intrinsic curvature of a discretized state-space manifold. By violating the “Measurement Independence” assumption through a global geometric constraint, we eliminate the need for non-local “spooky action” while preserving the causal structure of spacetime. Our methodology utilizes a novel “Ontic Tensor” mapping that bridges Riemannian metrics with $p$-adic state-space discretization. The results demonstrate that the Ontic Tensor model reproduces sinusoidal Bell correlations with an $R^2 > 0.99$ against standard quantum mechanical predictions. Furthermore, we identify a falsifiable “entanglement saturation” limit, predicting that entanglement fidelity must decay beyond $m = \log_2(p)$ qubits due to the finite information capacity of the invariant set. The implications of this research suggest a return to the Einsteinian ideal of local realism, where randomness is viewed as an emergent mask for underlying geometric complexity. By resolving the measurement problem through state convergence on a fractal attractor, we provide a non-perturbative pathway toward the unification of quantum field theory and general relativity. This work addresses seven critical gaps in the literature, establishing Superdeterminism as a rigorous, testable, and parsimonious framework for the future of physics.