Quantum Entanglement as Emergence within a Single Field: Proposal of the Same-Field Interpretation and an Information-Theoretic Approach

Quantum entanglement has long been understood as a non-local correlation between spatially separated particles, raising deep challenges for the foundations of physical reality. This paper proposes the Same-Field Interpretation as an alternative framework to resolve this paradox. In this interpretation, our perception of spatial separation is considered a cognitive construction generated by the brain. Entanglement is thus redefined not as an action across distance, but as a single event arising simultaneously within one unified field, which we term the same field. By framing this field as an informational field, the consistency of quantum correlations can be understood as reflecting a higher-order informational order beyond physical substance. The same-field interpretation resonates with David Bohm’s holistic worldview, while reformulating it through the lens of information theory and cognitive science. From this perspective, entangled particles represent different aspects of a single informational block, preserving total information at all times. Mathematical formulation using density matrices and von Neumann entropy shows that what appears as uncertainty in measurement is the projection of a pure state into a mixed state by the observer’s act of tracing out information. This paper argues that violations of Bell’s inequality are evidence of a unified informational field rather than of non-local influences. Future work includes integrating this interpretation with gravity and spacetime, designing experimental protocols to indirectly test the same field, and examining its philosophical consistency with non-dualism. Note: Corrected equations in this version (v2).