Principle of Correlative Unity: Non-Factorizability as Evidence of Prior State Unity

This preprint presents the Principle of Correlative Unity (PCU), which formalizes the idea that non-factorizability of informational states implies the existence of an underlying prior unity.
The PCU defines the minimal correlated state Ψ_Un as the informational substrate from which space-time and physical systems emerge through local configurations.

This framework provides a falsifiable bridge between quantum information theory, relativity, and holographic principles by interpreting entanglement, entropy, and geometry as aspects of a single invariant informational structure.

The paper also establishes the formal foundation of the broader Theory of Information Threads (TFI), in which correlations across scales define the continuity of physical reality.
The TFI extends the PCU to multi-scale systems, from quantum interactions to biological and cognitive coherence, emphasizing information invariance as the universal condition for existence.

Keywords: information theory, correlation, quantum foundations, relativity, holography, TFI, non-factorizability, emergence.