Part VIII — Coheron and Quantum Phenomena

Abstract

Part VIII of the Dual–Flux (DF) series addresses the emergence of quantum phenomenology once the structure of the present surface P₀, the finite-memory kernel, and the vortex-based ontology have been fixed in Parts I–VII. We introduce the coheron as the minimal closed excitation capable of transporting coherent information on P₀: a single past vortex whose coherent flux Φ⁺ is projected onto P₀ and closed through the substrate W₀. Restricting the TDGL-type DF evolution to a coheron yields, in the short-memory limit, an effective Schrödinger equation, and, when the ℤ₄^t temporal torsion is resolved, a Dirac-like formulation. Superposition and nonlocality are reinterpreted as the undifferentiated redistribution of a single coheron flux over the channel structure of P₀, whose geometry is not emergent three-space.

Finite memory plays the central role: each channel carries a finite memory capacity, and superposition persists only while no channel saturates. When a saturation threshold is reached, present-closure and coercivity force the coheron to close its loop through a unique channel. The Born rule is then recovered as a memory allocation law: the probability of a given outcome equals the fraction of stored coheron memory carried by the corresponding channel at the moment of saturation. Decoherence, uniqueness of outcomes, and the quantum–classical transition are all traced back to the frequency of such forced loop closures. In the limit of frequent closures, the coheron follows memory-minimising trajectories, providing a DF derivation of the least-action principle and connecting smoothly to the MOND-like regime previously obtained at cosmic scales.

We highlight several falsifiable predictions that distinguish DF from standard quantum mechanics, including an intrinsic coherence time τ_max set by the memory kernel, basis-dependent decoherence tied to the (S, L) channel decomposition, controlled early differentiation via local memory saturation, and a weak dependence of coherence on gravitational gradients. Quantum theory thus appears as a derived, tightly constrained sector of the DF framework: the phenomenology of coherons propagating on a finite-memory present surface.