Sector Paper IV - Quantum δI‑Microstructure and Forced‑Emergence of Quantum Behaviour

SECTOR PAPER IV — QUANTUM δI‑MICROSTRUCTURE AND FORCED‑EMERGENCE OF QUANTUM BEHAVIOUR Sector Paper IV develops the quantum-domain layer of UN Theory by analysing the δI-substrate microstructure and demonstrating how quantum behaviour arises as a forced consequence of correlation geometry. The paper introduces the primitive quantum object, the δI-microstate, and shows how its internal correlation gradients generate discrete spectral outcomes, parity-odd invariants, and the characteristic non-classical signatures associated with quantum systems. The work formalises the transition from classical δI-geometry to the quantum regime, identifying the exact correlation-collapse mechanism that produces quantised amplitudes, probabilistic measurement structure, and domain-restricted state evolution. This establishes the quantum layer of the Unified Information Substrate and provides the foundation required for later sector papers dealing with cosmological dynamics, sparse-regime behaviour, ultra-global correlation closure, and terminal-state reconstruction. Sector Paper IV forms part of the multi-volume UN Theory corpus and connects directly to Sector Papers I–III, which define the global δI-geometry and parity-odd invariants, and Sector Papers VIII–IX, which formalise the ultra-global fixed point, terminal correlation geometry, and the return to the primitive object I(x, x′).