Advances in Holographic Theory for Explaining Quantum Entanglement

The non-locality in quantum entanglement, where particles exhibit instantaneous correlations over large distances, has long been a significant challenge in quantum mechanics. This paper explores the contributions of holographic theory in resolving the non-locality of quantum entanglement and the black hole information paradox. Through the ER=EPR conjecture, holographic theory proposes that quantum entanglement can be explained by tiny wormholes, offering a new geometric perspective to understand non-local effects. Moreover, holographic theory has made substantial progress in addressing the black hole information paradox, particularly through new concepts such as quantum extremal surfaces and replica wormholes. These theoretical approaches indicate that the entropy of black hole radiation follows the Page curve, supporting the idea of information preservation and resolving the paradox without violating the fundamental principles of quantum mechanics. Overall, holographic theory provides crucial theoretical tools and explanatory frameworks for quantum entanglement and black hole physics, advancing the understanding of the unification between quantum gravity and general relativity.