一元自反动力学·新正典公理卷(v4.0):自反系统底层本体公理体系

本文是一元自反动力学(URD)统一理论体系首卷《公理正典》,以一元基底本体论(原名《生成一元论》)为哲学起点,为整套理论奠定底层公理根基。 当前系统科学、人工智能、范畴论领域研究缺少一套贯通哲学本体、数理逻辑与智能系统的统一公理体系,现有各类模型规则零散割裂,尚未存在可从纯逻辑基底自反结构完整生成全部系统结构的通用基础范式。 本文逐条定义URD三条核心基础公理及配套M0-M4元规则,统一规范对象、态射、自指递归、系统闭合、全域兼容五大基础概念;构建有限系统全域及可判定无限极限的底层形式规则,确立后续《数理卷》数理推导、《外典》工程落地、《准正典》边界判定共用的统一逻辑基准。 本卷严格区分原生本体规则与人工工程约束,消解多智能体协作、长链推理、层级嵌套场景下存在的底层逻辑冲突;整套公理体系在划定论域内不存在自指悖论,无需预设物质、时空、实体等外部前置条件,仅依托自反关系即可生成全部系统演化结构。 体系明确标注自身不可判定的逻辑边界符号(⋔),将逻辑上“不可言说”的边界范畴纳入体系完整形式结构,为复杂智能系统建模、形而上学本体论研究提供一套具备自限边界、全域可判定的全新统一公理工具。 This paper presents the Axiomatic Canon, the first volume of the Unitary Reflexive Dynamics (URD) unified theoretical system, which takes the Unitary Substrate Ontology (formerly Generative Monism) as its philosophical starting point and lays the fundamental axiomatic foundation for the whole theory.Current research in system science, artificial intelligence and category theory lacks a unified axiomatic framework that integrates philosophical ontology, mathematical logic and intelligent systems. The rules of existing models are fragmented and isolated, and there is no general basic paradigm that can generate all systemic structures entirely from the self-reflexive structure of pure logical substrate.This paper defines three core fundamental axioms of URD and the supporting M0-M4 meta-rules one by one, and standardizes five basic core concepts: objects, morphisms, self-referential recursion, system closure and global compatibility. It constructs underlying formal rules for full finite systems and decidable infinite limits, forming a shared unified logical benchmark for mathematical deduction in the Mathematical Canon, engineering implementation in the External Canon, and boundary judgment in the Canon of Limits.This volume strictly distinguishes inherent ontological rules from artificial engineering constraints, and eliminates underlying logical conflicts in scenarios including multi-agent cooperation, long-chain reasoning and multi-layer nesting. The complete axiomatic system contains no self-referential paradoxes within its defined domain. It does not rely on preconditions such as matter, time, space or entities, and generates all systemic evolutionary structures merely through reflexive relations.The system explicitly marks its own undecidable logical boundary symbol (⋔), incorporating the logically "unspeakable" boundary domain into the complete formal structure of the theory. It provides a brand-new unified axiomatic toolkit with self-limiting boundaries and global decidability for the modeling of complex intelligent systems and research on metaphysical ontology.