On the Notion of Dark Space-Time and Quantum Entanglement

Abstract: The nature of quantum nonlocality, as exemplified by entanglement, remains one of the deepest mysteries in quantum physics, challenging classical notions of causality and locality. In this work, we introduce the concept of dark space-time, a hidden geometric structure that coexists with ordinary space-time but may allow superluminal information transfer. We propose a modified space-time metric for dark space-time, in which the speed of causal influences exceeds the speed of light, thereby permitting nonlocal correlations to be naturally mediated through an unobservable channel. The framework is developed through a two-space-time quantum formalism, where entangled states evolve via interactions between ordinary and dark space-time sectors. Furthermore, we discuss the implications of dark space-time for ER=EPR conjecture and black hole information paradox. The notion of dark space-time is more fundamental than the dark energy and dark matter. Our results provide a novel approach to reconciling quantum mechanics with a deeper geometric foundation, offering insights into the fundamental nature of reality.