PFUSRC-131 Living Calculus Application Standard Framework and Cross-Disciplinary Interface Specification

Abstract

PFUSRC-130 constructs a complete ontological axiomatic system for living calculus based on the 11-dimensional triple coaxial 45° biconical topology, deriving three core topological operators including topological sign-off limit, four-dimensional phase-difference derivative and discrete hierarchical integral, alongside the cross-boundary correction operator and complete operation rules. Nevertheless, PFUSRC-130 remains purely theoretical ontological grounding work with native topological jargon lacking unified conversion standards for physics, astronomy and engineering disciplines. It fails to provide standardized anchor sampling rules, iteration termination priority logic, multi-dimensional boundary conflict resolution schemes and local non-periodic integral algorithms, which restricts direct numerical simulation and experimental data fitting. As the exclusive supporting application protocol matched with PFUSRC-130, this paper does not revise or add new topological axioms and core derivations of living calculus. It fills all engineering implementation gaps: establishing cross-disciplinary isomorphic mapping conforming to topological acceptance criteria, designing standardized numerical iteration procedures with clear termination priority, formulating four-dimensional boundary conflict handling rules, supplementing local fragment integral algorithms and comparative numerical examples covering multiple disciplines. This document clearly distinguishes its research boundary from PFUSRC-130 and forms a bridge connecting high-dimensional topological ontology and cross-disciplinary computational simulation, delivering a set of directly executable unified computational specifications for quantum field theory, astrophysics, gravitational modeling and control engineering.