The Real–Imaginary Correspondence Model and the Possibility of Interstellar Quantum Connectivity

This research introduces the Real–Imaginary Correspondence Model (RICM), a theoretical framework that explores quantum entanglement as a manifestation of structural coherence within an imaginary coordinate domain—referred to as χ-space. The core proposition is that entangled particles remain correlated not due to classical or real-space transmission, but through shared embedding in a higher-dimensional imaginary topological field. By proposing a real–imaginary mapping, this model opens new interpretations of entanglement phenomena, potentially allowing quantum correlation across interstellar distances without violating relativistic constraints. It further speculates on the practical applications for deep-space quantum communication and distributed quantum sensing, and outlines experimental approaches for detecting phase coherence signatures in χ-space. Ultimately, the paper presents χ-space as a candidate for a unifying informational geometry, bridging the gap between quantum theory, topology, and emerging models of space-time.