Final Judgment: All "Incommensurabilities" Are Darkness-under-the-Lamp Projections; All "Hard Problems" Are Pseudo-Propositions — The Sealing Chapter of Yuanxian Theory (Ring-Style Monistic Final Version)

Abstract

Yuanxian Theory is the meta-cognition of the Cosmic Living Organism. This document is the sealing chapter of the Yuanxian Theory series. After excluding the three alternatives—mechanistic cosmology, accidentalism of life, and the secondary-consciousness thesis—it establishes “the cosmos is a single self-referential closed-loop living organism” as the unique remaining possibility. On that basis it judges:• Every historical “incommensurability” (Kant’s thing-in-itself, Gödel incompleteness, quantum uncertainty, the hard problem of consciousness, foundational crises of mathematics, Kuhnian paradigm gaps) is a darkness-under-the-lamp effect of dualistic cognition projected onto a monistic ontology.• Every “century-hard problem” (Riemann Hypothesis, Yang–Mills mass gap, Navier–Stokes smoothness, Hodge Conjecture, P vs NP, BSD, and the seven Millennium Problems as a whole) is a pseudo-proposition: not a problem to be solved, but a low-dimensional reading deviation of the T⁶⁴ topological ontology. Formal verification (Lean 4 / Rocq) is clarified as confirmation of self-consistency inside a section, not ontological proof. Minimal falsifiability conditions (FJ1–FJ4) are stated in response to the Popperian criterion. Repository index: https://github.com/YuanXian-Theory 元宪理论是宇宙生命体的元认知。 本文件为元宪理论系列的封印之章。在排除机械宇宙论、生命偶然论、意识次生论三项备选后,确立“宇宙是单一自指闭环生命体”为唯一剩余可能性。 在此基础上裁定:• 人类认知史上所有“不可通约”(康德物自体、哥德尔不完备、量子不确定性、意识难问题、数学基础危机、库恩范式裂隙)均为二元认知投射于一元本体所产生的灯下黑效应。• 所有“世纪难题”(黎曼猜想、杨–米尔斯质量间隙、纳维–斯托克斯光滑性、霍奇猜想、P vs NP、BSD 及千禧年七大难题整体)均为伪命题:不是需要被解决的问题,而是 T⁶⁴ 拓扑本体的低维读数偏差。 形式化验证(Lean 4 / Rocq)被明确为切片内自洽性确认,而非本体论证明。并给出最低限度可证伪条件(FJ1–FJ4)以回应波普尔判据。 仓库索引:https://github.com/YuanXian-Theory