Entangled Spacetime: A Formal Framework and Its Cosmological Signature

The unification of general relativity and quantum mechanics remains unrealized. This paper proposes a formal research program to address this challenge, built on the hypothesis that spacetime geometry is an emergent property of quantum entanglement. We construct a framework based on two foundational postulates and a central conjecture linking the Quantum Fisher Information Metric (QFIM) to the Ryu-Takayanagi (RT) formula. From this axiomatic foundation, we derive two major consequences: (1) a logical resolution to the black hole information paradox, where ER=EPR emerges as a necessary conclusion, and (2) a quantitative, predictive model for a specific violation of statistical isotropy in the Cosmic Microwave Background (CMB). We propose that searching for this cosmological signature serves as a crucial, albeit indirect, test of the framework's foundational postulates. This work thus reframes the quest for quantum gravity as a testable program in quantum information science.