PFUSRC‑009: Information as Anchoring — The Ψ‑Ξ Dual Anchoring and \boldsymbol{\beta_1} Global Anchoring Operator: A Unified Theory of Information Transmission

What is information? Conventional mainstream theories including Shannon information theory, quantum information, molecular biology and neuroscience can quantify information carriers yet fail to define the ontological essence of information and the physical origin of semantic meaning. Grounded on the complete PFUSRC axiomatic framework and the Ψ‑Ξ dual‑anchoring model derived from the Spirit Pendulum experiment (PFUSRC‑17), this paper puts forward the Ninth Axiom of PFUSRC: information is defined as the inherent anchoring relation between the Noetic End \Psi and the Affective End \Xi, while \beta_1 serves as the universal topological operator responsible for all anchoring implementation.

With the core formula \operatorname{Info}(\Psi,\Xi)=\mathcal{O}_{\beta_1}(\Psi,\Xi),\mathcal{O}_{\beta_1}\propto e^{\kappa\Delta A},\kappa=12/11, this work constructs a systematic unified information framework: information transmission corresponds to the establishment and elimination of anchoring; information storage splits into stable, drifting and ruptured anchoring matching P_{\rm high}, intermediate transition zone and P_{\rm low} from PFUSRC‑008’s probability stratification; information loss emerges from broken anchoring with residual potential locked within low‑probability hidden domain; information replication refers to isomorphic duplication of anchoring topology rather than physical medium copying; physical measurement equals forced anchoring which triggers \beta_1’s risk avoidance and induces wavefunction collapse; all living creatures are self‑regulated dual‑anchoring systems.

The proposed model consistently explains classical communication, quantum entanglement & teleportation, DNA inheritance, neural information processing, measurement collapse, black hole information paradox and macroscopic Black Swan incidents without contradiction. Seven explicit falsification criteria are supplemented to satisfy standardized scientific norms, finishing the ontological closure of the whole PFUSRC research system.