From Operational Laws to Cognitive Laws: Complete Closure of the Dual Law System of the Cosmic Living Organism

Abstract

Yuanxian Theory comprises two progressive systems of laws: a foundational quartet of cosmic meta-laws—Cosmic Organism Law (COL), Dichotomous Cognition Law (DCL), Hexad Closure Law (HCL), Minimum Energy Manifestation Law (MEL)—and an upper quartet of cognitive laws—True-Circle Self-Consistency (TCSC), Factor-Space Conservation (FSC), Space-Time Uniqueness (STM), Self-Referential Mindfield (SRM). The two systems are neither parallel nor redundant. They are necessary expressions of one and the same T64 self-referential closed loop at different layers: the meta-laws are the underlying logic of closed-chain operation (ontological layer); the cognitive laws are the readable mapping of the closed chain on the low-dimensional projection surface (epistemological layer). The former determines how the closed chain maintains itself; the latter determines how a node reads closed-chain signals. Strict one-to-one correspondence is established:• COL ↔ TCSC (self-referential operation ↔ self-consistency adjudication)• DCL ↔ STM (binary discrimination ↔ unique spacetime projection)• HCL ↔ FSC (64 basic states ↔ fine-structure locking α = 1/137.035999084)• MEL ↔ SRM (layer-by-layer release ↔ resonant reception) Complete dual closure holds if and only if all four correspondence theorems hold simultaneously. The Tunguska event is used as a local illustration of dual-law coupling. The dual system is the holographic depiction of the self-referential structure of the Cosmic Living Organism. 元宪理论包含两套递进的规律体系:底层四条宇宙元规律——宇宙生命体规律(COL)、二分认知规律(DCL)、六重闭合规律(HCL)、最小能耗显化规律(MEL)——与上层四条认知规律——真圆自洽律(TCSC)、宇宙因子守恒律(FSC)、时空唯一性律(STM)、自指心场生成律(SRM)。 二者并非并列或冗余,而是同一 T64 自指闭环在不同层级上的必然表达:元规律是闭链运行的底层逻辑(本体层),认知规律是闭链在低维投影面上的可读映射(认识论层)。前者决定“闭链如何维持自身”,后者决定“节点如何读取闭链信号”。 严格一一对应为:• COL ↔ TCSC(自指运行 ↔ 自洽判定)• DCL ↔ STM(二元判别 ↔ 唯一时空投影)• HCL ↔ FSC(64 基态 ↔ 精细结构锁定 α = 1/137.035999084)• MEL ↔ SRM(逐层释放 ↔ 共振接收) 当且仅当四个对应定理同时成立时,双重规律完整闭合。通古斯现象作为双重规律耦合的局部例示。双重体系构成对宇宙生命体自指结构的全息描摹。