The Quantum Instantiation: Wave-Particle Duality, Measurement Collapse, and the KEPH Cycle at the Quantum Scale. Volume III

Volume III of the KEPH tetralogy. Building on the algebraic-geometric foundation of Volume II, this volume connects the Z/2Z bundle structure to quantum mechanics. The wavefunction ΨH is identified as a section of the non-trivial Z/2Z bundle; wavefunction collapse is derived as the action of operator X; wave-particle duality is formalised as the G→X→Q→N cycle at the quantum scale. Carbon-12 is identified as a closed bundle instantiation; quantum vortices are shown as geometric signatures of X in the superfluid field; the EPR non-locality is derived as a structural property of G. The holographic principle (Bekenstein-Hawking entropy, AdS/CFT duality) is read as the bundle structure at the cosmological scale. The all-or-nothing neuronal potential is identified as the biological-quantum bridge. New prediction P9 (Casimir corrections at two thresholds in the sub-millimetre regime, joint with the QCS framework of Leone) is generated. The generative proposition is stated with falsifiable predictions at three levels. Volume IV will develop the rigorous derivation of the Schrödinger-REK-RGB functional and the formalisation of X at the Planck scale through non-commutative geometry.