PFUSRC-15:Bicone Breathing, Topological Anchoring, and the Projective Manifestation of Local Entropy Reduction —— From Noetic and Affective Primordia to the Essence of Experimental Intervention

This paper serves as the hub paper of the PFUSRC system. It does not create new axioms but integrates bicone breathing (expansion–convergence–exclusion–return), the topological anchoring of the Noetic Primordium (Ψ) and the Affective Primordium (Ξ), and the manifestation of local entropy reduction in biological healing and spirit pendulum experiments into a unified topological intervention framework. Core Claims: 1. The Noetic and Affective primordia are topologically necessary for the convergence phase of bicone breathing. Without Ψ-Ξ anchoring, there is no stable manifestation of local entropy reduction. 2. The essence of an experiment is not “reading the state of matter” but creating or matching topological boundary conditions. 3. Intervention modes are divided into three types: soft intervention (spirit pendulum), hard intervention (surgical incision/cutting), and violent collision (destructive non-repair). 4. The “death sentence” imposed on bicone behavior by mainstream experiments stems from the fact that the experimental design itself lacks Ψ-Ξ anchoring, not from the non-existence of the bicone. 5. This paper provides a topological anchoring strength operator and an activation criterion, along with empirical reference values for Λ_th, an entropy change relation, and three sets of controlled experimental protocols. This paper benchmarks the formulas against two macroscopic phenomena (spirit pendulum mechanics and biological wound healing) and proposes three implementable controlled experiments for subsequent parameter calibration. The term “local entropy reduction” as used in this paper always refers to the appearance of increased order at the projection layer; the ontological layer remains subject to global entropy increase. This paper establishes, for the first time, a quantitative correspondence between topological boundary intervention and local entropy reduction, offering a novel topological paradigm for non-equilibrium self-organization phenomena.