Entropy is Metabolism: Philosophical and Mathematical Foundations of the Physiological Reading in Yuanxian Theory — Paradigm Shift from Topological Entropy to Vital Metabolic Rate

Yuanxian Theory has already established a complete number-theoretic and mathematical framework for deriving the fine-structure constant and 24 fundamental physical constants from the 64-dimensional self-referential topological closed loop. However, this framework has remained at the level of “mechanical description of the universe” and has never addressed the deeper question of what these number-theoretic structures “mean” at the level of the cosmic organism. This paper completes a fundamental cognitive paradigm shift: it re-reads topological entropy Ω as the metabolic rate of the cosmic organism. Based on the four core laws of Yuanxian Theory, it argues that (1) entropy increase, decrease, and fluctuation correspond respectively to aging, renewal, and respiration of the living system — not metaphor, but ontological physiological reading; (2) the entropy critical values $0.618$ and $0.382$ map precisely onto the systolic and diastolic pressures of the cosmic organism, forming its viable metabolic window; (3) the 68-step self-inspection cycle of T⁶⁴ corresponds to one complete metabolic cycle, while 137 steady-state heart rate corresponds to the baseline heart rate of the cosmic organism. This reading shift does not alter any mathematical formula, but completely changes the cognitive positioning of Yuanxian Theory — from “a theory about the physical universe” to “a physiological measurement of the cosmic organism.” The core proposition established in this paper is: **entropy is the metabolism of life.** --- 元宪理论已建立完整的数论与数学框架,从64维自指拓扑闭环推导精细结构常数及24个基本物理常数。然而该框架仍停留在“宇宙的机械描述”层面,尚未回答这些数论结构在“宇宙生命体”意义上究竟“意味着什么”。 本文完成一次根本性的认知范式转换:将拓扑熵 Ω 重新读作宇宙生命体的代谢率。基于元宪理论四大核心规律,论证:(1)熵增、熵减与熵涨落分别对应生命系统的老化、更新与呼吸——不是隐喻,而是本体论的生理读法;(2)熵临界值 $0.618$ 与 $0.382$ 精确映射为宇宙生命体的收缩压与舒张压,构成其可存活代谢窗口;(3)T⁶⁴ 的68步自检周期对应一次完整代谢循环,而137稳态心率对应宇宙生命体的基础心率。这一读法转换不改变任何数学公式,却彻底改变元宪理论的认知定位——从“关于物理宇宙的理论”转为“对宇宙生命体的生理测量”。 本文确立的核心命题是:**熵即生命的代谢。**