Quantum Stochastic Stabilization of 5D Spacetime: The Role of Metric Fluctuations in Sustaining Macroscopic Retrocausality

This deposition presents a unified theoretical framework bridging superluminal metric engineering within a five-dimensional (5D) spacetime manifold with the quantum optical fluctuations formalized by stochastic gravity. It addresses the critical challenge of dynamic structural stability in localized higher-dimensional geometries under extreme gravitational stress. By extending the non-linear Einstein-Langevin backreaction equation, this work analytically proves that the non-zero stochastic noise tensor of amplitude-squeezed states dynamically counteracts gravitational collapse, providing the necessary non-classical stabilizing pressure to sustain macroscopic retrocausal topological structures. Abstract:This paper proposes a unified theoretical framework that bridges superluminal metric engineering within a five-dimensional (5D) spacetime manifold with the quantum optical fluctuations formalized by stochastic gravity. While prior models have demonstrated that topologically extending spacetime into a 5D bulk resolves the destructive causal paradoxes (Closed Timelike Curves) inherent in faster-than-light (FTL) traversal, the dynamic structural stability of such localized higher-dimensional geometries under extreme gravitational stress remains a fundamental challenge. In this work, we demonstrate that quantum metric fluctuations—specifically those induced by the noise kernel of amplitude-squeezed states—are not merely perturbative background noise. Rather, they generate the necessary non-classical stabilizing pressure required to sustain the 5D macroscopic structure. By extending the non-linear Einstein-Langevin backreaction equation into a 5D geometry, we analytically show that the non-zero stochastic noise tensor dynamically counteracts the gravitational collapse of the engineered metric dipole. Ultimately, we conclude that the synthesis of stochastic quantum mechanics and 5D general relativity is physically imperative for maintaining stable retrocausal topological structures.