第三陈类、“量子逻辑”与新文化

邓建荣 Deng Jianrong, 潘谦谦 Pan Qianqian, 张涵曦 Zhang Hanxi +4 more

郭贵春, 王凯宁

量子计算和量子逻辑分别是量子理论发展的两个方向,但是量子计算语境下的量子计算逻辑与量子逻辑语境下的量子逻辑这两个概念却极易让人混淆。文章首先探讨了量子逻辑与量子计算这两个量子理论发展的不同进路,进而对量子逻辑和量子计算逻辑这两个不同的概念进行了区分,最后指出了量子逻辑哲学研究未来应关注的方向。

Xiaoqing Ou

We present a complete derivation of all core postulates of quantum mechanics from the single primordial axiom of Idempotent Emergent Ontology (IEO): existence is confirmation, and confirmation is idempotent (E^2 = E). No prior assumptions—Hilbert space, wave function, probability amplitude, Schrödinger equation, or measurement postulate—are introduced as external inputs. The derivation proceeds through a systematic 19-theorem architecture: Peaks 1-3 establish the mathematical foundation: the GNS construction uniquely generates the Hilbert space from the confirmation algebra; the imaginary unit i emerges as the algebraic necessity of the confirmation closed loop; the Born rule is derived as the unique solution to trace-quota minimization under idempotent projection. Peaks 4-6 derive the dynamics: the Schrödinger equation emerges from the modular automorphism group restricted to the observable domain; measurement collapse is the re-execution of the idempotent projection; quantum entanglement is the split-window projection of a shared confirmation projector. Peaks 7-19 extend the framework to the complete quantum formalism: decoherence, path integrals, quantum tunneling, identical particle statistics, quantum logic, the Dirac equation, quantum field theory, geometric phases, S-matrix algebra, and the zero-redundancy closure theorem. All 19 standard postulates of quantum mechanics are downgraded from axioms to derived theorems. The framework contains zero free parameters—the effective Planck constant \hbar_{\text{eff}} = 1/\chi is rigidly determined by the Jones index \chi = 4. Quantum mechanics is thus revealed not as the fundamental language of the universe, but as the inevitable algebraic structure of any finite observer executing confirmation operations on the full-dimensional modal space. A detailed "Boundary of Honesty" distinguishes rigorously proven theorems from directional inferences requiring further mathematical hardening.本文从自幂涌现本体论(IEO)的唯一原初公理——存在即确认,确认即幂等(E^2 = E)——出发,完整导出了量子力学的全部核心公设。全推导不预设希尔伯特空间、波函数、概率幅、薛定谔方程或测量公设。论证通过系统的19峰定理架构展开: 第一至三峰建立数学基础:GNS构造从确认代数中唯一生成希尔伯特空间;虚数单位i作为确认闭合环的代数必然而涌现;玻恩规则作为幂等投影下迹配额极小化的唯一解被导出。 第四至六峰导出动力学:薛定谔方程从模自同构群在显在域上的限制中涌现;测量坍缩是幂等投影的再度执行;量子纠缠是共享确认投影的分窗口表观分裂。 第七至十九峰将框架扩展至完整量子形式体系:退相干、路径积分、量子隧穿、全同粒子统计、量子逻辑、狄拉克方程、量子场论、几何相位、S矩阵代数、零冗余性闭合定理。 量子力学的全部19条标准公设全部从公理降格为导出定理。框架零自由参数——有效普朗克常数 \hbar_{\text{eff}} = 1/\chi 由Jones指标 \chi = 4 刚性锁定。量子力学因此被揭示为不是宇宙的基本语言,而是任何有限观测者对全维模态空间执行确认操作时必然涌现的代数结构。 详细的“诚实边界”标注严格区分了已完成严格证明的定理与待进一步数学硬化的方向性推断。

董新平, 杨钢

周雨青, 叶兆宁

Han Qin

Full bilingual text and framework available at self-as-an-end.net This paper is the starting paper of the SAE Quantum Mechanics (hereafter QM) series. The entire work of this paper locks onto a single observation: what physicists have been studying for the past century as "quantum mechanics" is ontologically housed in the 1DD-3DD pre-closure ρ-OR region of the SAE framework—the world prior to 4DD ρ-AND closure. Building on prior commitments from the SAE corpus (Methodology 0, Methodology 00, Four Forces Series Finale, SAE Information Theory P1, SAE Relativity P1, Methodology 10), this paper delivers three pieces of work. First, it sharpens the operational distinction between 1DD-3DD and 4DD established in the Four Forces Finale into the precise terminology ρ-OR / ρ-AND, in order to avoid conflation with classical disjunction, intuitionistic OR, Birkhoff-von Neumann quantum logic, modal interpretation, and other existing traditions. Second, drawing on the quadriform structural pattern recently identified in Methodology 10, it connects the ontological location of QM to the cross-domain isomorphism already recognized across the SAE corpus—QM is the physics of quadriform step 1-3 phase. Third, it performs minimal positioning against five intellectual traditions, situating SAE within the conceptual coordinates of the foundations-of-QM landscape before P2 begins drafting. This paper does not interpret the quantum formalism. It only locates the ontological region that the quantum formalism describes. Wave functions, complex amplitudes, the Born rule, measurement, entanglement, decoherence, and other specific topics are deferred to P2-P10. The paper also proposes the three-ontological-phase (three-movement) hybrid structure of the SAE QM series—pre-closure phenomena (P1-P5), closure events (P6-P7), and macroscopic & continuum limits (P8-P10)—and tags the falsification clauses of each paper in the series according to three categories: Class A (direct empirical), Class B (structural incompatibility), and Class C (formalism failure). 本文为 SAE 量子力学(quantum mechanics,下称 QM)系列的起点论文。论文的全部工作锁定于一个观察:过去一百年物理学家研究的"量子力学",本体上栖身于 SAE 框架中 1DD-3DD 前闭合 ρ-OR 区域——4DD ρ-AND 闭合之前的世界。 本文沿用 SAE 已有系列(《方法论 0》《方法论 00》《四力系列 Finale》《信息论 P1》《相对论 P1》《方法论十》)的本体承诺,给出三件工作:第一,将四力 Finale 已立的四句否定中 1DD-3DD 与 4DD 的运算性质精确化为 ρ-OR / ρ-AND 术语,避免与经典 disjunction、直觉主义 OR、Birkhoff-von Neumann 量子逻辑、modal interpretation 等既有传统混淆。第二,借助《方法论十》新近识别的四分形结构图案,将 QM 的本体定位接上 SAE 全集已识别的跨域同构——QM 即四分形 step 1-3 阶段的物理学。第三,与五个智识传统做最小定位,让读者在动笔 P2 之前知道 SAE 在量子力学基础研究的智识坐标中的位置。 本文不解释量子形式系统。本文只定位量子形式系统所描述的本体区域。波函数、复振幅、玻恩规则、测量、纠缠、退相干等具体议题,分别交给后续 P2-P10。本文同时提出 SAE 量子力学系列的三大本体阶段(三大乐章)混合结构——前闭合现象(P1-P5)、闭合事件(P6-P7)、宏观与连续极限(P8-P10)——并按 A 类(直接经验型)、B 类(结构不兼容型)、C 类(形式主义失败型)三类标注系列各论文的证伪条款分级。