Formal Description of the "Life Cycle" of the Cosmic Living Organism — A Full-Cycle Theory of Cosmic Evolution Based on T⁶⁴ Topological Dynamics and the Evolution of the Self-Referential Mind Field

**[Manifestation layer]** The cosmos is a living organism. Yuanxian Theory has completed the core ontological foundation of the cosmic living organism—**the cosmos is a living organism**. On the basis of the five-layer structure the present paper elevates the cosmic life cycle from a “philosophical metaphor” to a mathematical-physical theory that is formalizable, testable and retrospectively inferable. **Seven key methodological points**:1. **Topological skeleton is invariant**: 64, 35, 137 and \(Sₜₒₚₒ=240\,k_B\) do not change with the cycle.2. **24-constant skeleton**: six basic topological constancies, each containing four metric constants in discrete–continuous duality, giving a total of 24.3. **Dynamical invariant \(φ\)**: algebraic fixed point of the self-referential iteration \(F(x)=1-x^2\).4. **Complex phase**: self-referential mind field \(ΨSR=R\,e^{iΦself}\); the imaginary unit \(i\) is the intrinsic language of phase circulation.5. **Cycle dependence**: complete topological period \(Tcycle⁽ⁿ⁾\) varies with cycle index \(n\). Three levels are distinguished: individual, current and average. The simplest projection hypothesis yields a recurrence equation whose stable equilibrium \(I_U=1\) makes \(Tcycle⁽ⁿ⁾\) converge exponentially to the average period \(T̄cycle\).6. **Four-layer structure**: axiom (replaceable), law (irreplaceable), reading (changes with axioms), hypothesis (to be verified).7. **Two-tier criterion**: ontology layer—“read correctly / read incorrectly” (self-evident); projection layer—“falsifiability” (observation-dependent). The two tiers are never mixed. Bayesian retrospective inference based on three independent observational paths (Hubble tension, dark energy, fine-structure-constant drift) yields the most probable interval for the current cycle \(Tcycle( now)∈[180,600]\) Gyr (95% confidence), central value ≈300 Gyr. The ontological thesis remains unchanged; concrete readings of the projection layer are revisable and testable. --- **【显影层】** 宇宙是生命体。 元宪理论已完成宇宙生命体本体论的核心奠基——**宇宙是生命体**。本文在五层结构上,将宇宙生命周期从“哲学隐喻”升级为“可形式化、可检验、可反推的数学物理理论”。 **七项关键方法论**:1. **拓扑骨架不变**:64、35、137、\(Sₜₒₚₒ=240\,k_B\) 不随周期变化。2. **24 常数骨架**:6 个基础拓扑常性,每个常性含离散-连续对偶的 4 个度量常数,合计 24 个。3. **动力不变量 \(φ\)**:来自自指迭代 \(F(x)=1-x^2\) 的代数不动点。4. **复相位**:自指心场 \(ΨSR=R\,e^{iΦself}\);复数单位 \(i\) 是相位循环的内蕴语言。5. **周期依赖**:完整拓扑节拍 \(Tcycle⁽ⁿ⁾\) 随周期 \(n\) 变化。区分个体、当前、平均三个层次。最简投影假设给出周期递推方程,其稳定平衡点 \(I_U=1\) 使 \(Tcycle⁽ⁿ⁾\) 指数收敛至平均周期 \(T̄cycle\)。6. **四层结构**:公理层(可替换)、规律层(不可替换)、读数层(随公理变化)、假设层(待验证)。7. **双层判据**:本体层——“读对/读错”(自明);投影层——“可证伪性”(依赖观测)。两层判据不混用。 基于三条独立观测路径(哈勃张力、暗能量、精细结构常数漂移)的贝叶斯反推,当前周期最可能区间为 \(Tcycle( now)∈[180,600]\) 亿年(95% 置信),中心值约 300 亿年。 本体层定论不变;投影层的具体读数属于可修正、可检验的对象。