Generation, Maintenance, and Exhaustion: The Formal Unification of the Six Theories and Their Invariant
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2026
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| _version_ | 1866901660600631296 |
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| author | kaifan, xie |
| author_facet | kaifan, xie |
| contents | <blockquote> <p><strong>This document is a provisional and experimental formal framework.</strong></p> <p>It is explicitly a <strong>stage-based exploration of the expressive limits of formal language</strong>, operating at the level of <strong>meta-cognition and meta-structure</strong>, rather than a completed theory or explanatory system.</p> <p>The text does <strong>not</strong> propose a theory of the world, does <strong>not</strong> offer proofs, predictions, or engineering solutions, and does <strong>not</strong> advance normative, ethical, or metaphysical claims.</p> <p>Its sole purpose is to test a <em>structural audit language</em> capable of determining whether a system—under frozen conditions—still retains meaningful generative capacity, or whether further continuation merely accumulates irreversible cost.</p> <p>Systems theory, information theory, cybernetics, dissipative structures, synergetics, and catastrophe theory are treated here as <strong>formal projections of a shared invariant</strong>, aligned only at failure states rather than unified by explanation.</p> <p>This document should <strong>not</strong> be read as a worldview, a metaphysical proposal, or a general-purpose explanatory model.<br>It is intended only as an experimental diagnostic instrument for reasoning about termination, exit, and exhaustion conditions in complex systems where continuation is no longer self-justifying.</p> <p>The work is released solely as a <strong>time-stamped research artifact</strong>.<br>No claim is made regarding correctness, completeness, general applicability, or finality.</p> </blockquote> <blockquote> <p><strong>本文是一份阶段性的、实验性的形式框架文本,旨在探索形式语言在元认知与元结构层面的表达极限。</strong></p> <p>本文并非完成态理论,不构建世界模型,不提供证明、预测或工程方案,也不承担任何规范性、伦理性或形而上学主张。</p> <p>其唯一目的,是测试一种<strong>结构审计语言</strong>:用于在冻结条件下判定一个系统是否仍然保有有意义的生成余量,或继续运行是否仅仅是在累积不可逆代价。</p> <p>文本将系统论、信息论、控制论、耗散结构论、协同论与突变论视为同一不变量在不同形式层面的投影,而非被解释性统一的理论体系;它们仅在失败态判定上对齐。</p> <p>本文不应被解读为世界观、形而上学主张或通用解释模型。<br>其用途严格限定于复杂系统中关于终止、退出与耗尽条件的实验性形式诊断。</p> <p>本文作为带时间戳的研究性工件发布,不对其正确性、完备性、普适性或最终性作出任何声明。</p> </blockquote> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18144739 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Generation, Maintenance, and Exhaustion: The Formal Unification of the Six Theories and Their Invariant kaifan, xie structural failure states termination criteria invariant complex systems irreversibility <blockquote> <p><strong>This document is a provisional and experimental formal framework.</strong></p> <p>It is explicitly a <strong>stage-based exploration of the expressive limits of formal language</strong>, operating at the level of <strong>meta-cognition and meta-structure</strong>, rather than a completed theory or explanatory system.</p> <p>The text does <strong>not</strong> propose a theory of the world, does <strong>not</strong> offer proofs, predictions, or engineering solutions, and does <strong>not</strong> advance normative, ethical, or metaphysical claims.</p> <p>Its sole purpose is to test a <em>structural audit language</em> capable of determining whether a system—under frozen conditions—still retains meaningful generative capacity, or whether further continuation merely accumulates irreversible cost.</p> <p>Systems theory, information theory, cybernetics, dissipative structures, synergetics, and catastrophe theory are treated here as <strong>formal projections of a shared invariant</strong>, aligned only at failure states rather than unified by explanation.</p> <p>This document should <strong>not</strong> be read as a worldview, a metaphysical proposal, or a general-purpose explanatory model.<br>It is intended only as an experimental diagnostic instrument for reasoning about termination, exit, and exhaustion conditions in complex systems where continuation is no longer self-justifying.</p> <p>The work is released solely as a <strong>time-stamped research artifact</strong>.<br>No claim is made regarding correctness, completeness, general applicability, or finality.</p> </blockquote> <blockquote> <p><strong>本文是一份阶段性的、实验性的形式框架文本,旨在探索形式语言在元认知与元结构层面的表达极限。</strong></p> <p>本文并非完成态理论,不构建世界模型,不提供证明、预测或工程方案,也不承担任何规范性、伦理性或形而上学主张。</p> <p>其唯一目的,是测试一种<strong>结构审计语言</strong>:用于在冻结条件下判定一个系统是否仍然保有有意义的生成余量,或继续运行是否仅仅是在累积不可逆代价。</p> <p>文本将系统论、信息论、控制论、耗散结构论、协同论与突变论视为同一不变量在不同形式层面的投影,而非被解释性统一的理论体系;它们仅在失败态判定上对齐。</p> <p>本文不应被解读为世界观、形而上学主张或通用解释模型。<br>其用途严格限定于复杂系统中关于终止、退出与耗尽条件的实验性形式诊断。</p> <p>本文作为带时间戳的研究性工件发布,不对其正确性、完备性、普适性或最终性作出任何声明。</p> </blockquote> |
| title | Generation, Maintenance, and Exhaustion: The Formal Unification of the Six Theories and Their Invariant |
| topic | structural failure states termination criteria invariant complex systems irreversibility |
| url | https://doi.org/10.5281/zenodo.18144739 |