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太极统一场论的数学语言:从哲学基底到物理实在 Mathematical Language of Tai Chi Unified Field Theory: From Philosophical Foundation to Physical Reality

Hechun Sun

Published Apr 26, 2026• 0 citations
Publisher

Abstract

本文提出太极数理公设:宇宙本体为绝对平衡态(−1),可观测万物(0)皆源于此基底的扰动。通过重构概率幅公式 P=|\mathbb{K}+\Psi|^{2},本文解决了量子力学“无中生有”的逻辑缺陷,并推导出引力是背景场的几何形变。文章严格证明了概率归一化,解释了精细结构常数(1/137)的几何起源,并给出实验验证路径。这不仅是数学的胜利,更是东方哲学与现代物理学的终极统一。 Abstract This paper proposes the Tai Chi Mathematical Postulate: the ontological basis of the universe is an absolute equilibrium state (−1), and all observable things (0) originate from perturbations on this foundation. By reconstructing the probability amplitude formula P=|\mathbb{K}+\Psi|^{2}, this paper resolves the logical deficiency of “creation from nothing” in quantum mechanics and derives that gravity is the geometric deformation of the background field. The paper rigorously proves probability normalization, explains the geometric origin of the fine-structure constant (≈1/137), and provides experimental verification schemes. It represents not only a mathematical triumph but also the ultimate unification of Eastern philosophy and modern physics

DOI
10.5281/zenodo.19798201

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Ontology of ZEBTS: The Structure of the Possible and the Grammar of Reality

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This monograph presents the philosophical foundation of the ZEBTS framework — the Zero‑Entropy Topological Background and its χ‑Spectral reconstruction of reality. While earlier works introduced the operator‑geometric and spectral‑topological structure of χ‑Reality, this volume establishes the philosophical architecture that enables ZEBTS as a unified theory of the world. ZEBTS is developed as a comprehensive ontology of χ‑Reality, grounded in spectral geometry, operator physics, boundary‑driven emergence, and zero‑structure ontology. It interprets reality not as objects or substances but as a hierarchy of χ‑acts: admissibility, collapse, projection, meaning, existence, and world‑formation. The world appears as a χ‑spectral projection of the Absolute, structured by the Boundary, stabilized by collapse, and interpreted through meaning. Human existence functions as an ontological operator within this architecture. This monograph provides the philosophical justification for ZEBTS as formulated in the author’s previous works: Mukha, A. (2026). χ‑Spectral Reality: Foundations of the Operator‑Geometric Universe. Zenodo. https://doi.org/10.5281/zenodo.21937654 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality The Theory of Everything — SUPER 10 plus Version. Zenodo. https://doi.org/10.5281/zenodo.21921468 These publications establish the mathematical and operator‑geometric basis of χ‑Reality. The present monograph complements them by constructing the philosophical and conceptual foundation required for a complete understanding of ZEBTS. Thus, the monograph is the essential philosophical core of ZEBTS — the conceptual architecture showing why χ‑Reality, χ‑Spectral Geometry, χ‑Collapse, χ‑Boundary, and χ‑World are necessary ontological structures of existence.

•Aug 19, 2026•0 citations
本文提出太极数理公设:宇宙本体为绝对平衡态(−1),可观测万物(0)皆源于此基底的扰动。通过重构概率幅公式 P=|\mathbb{K}+\Psi|^{2},本文解决了量子力学“无中生有”的逻辑缺陷,并推导出引力是背景场的几何形变。文章严格证明了概率归一化,解释了精细结构常数(1/137)的几何起源,并给出实验验证路径。这不仅是数学的胜利,更是东方哲学与现代物理学的终极统一。 Abstract This paper proposes the Tai Chi Mathematical Postulate: the ontological basis of the universe is an absolute equilibrium state (−1), and all observable things (0) originate from perturbations on this foundation. By reconstructing the probability amplitude formula P=|\mathbb{K}+\Psi|^{2}, this paper resolves the logical deficiency of “creation from nothing” in quantum mechanics and derives that gravity is the geometric deformation of the background field. The paper rigorously proves probability normalization, explains the geometric origin of the fine-structure constant (≈1/137), and provides experimental verification schemes. It represents not only a mathematical triumph but also the ultimate unification of Eastern philosophy and modern physics
本文以唯一本源公理——阴阳对偶、场势守恒(\mathbb{K}\equiv-1)为基石,采用自上而下、单公理、全域闭合范式,构建数学与物理完全统一的终极理论体系。物理层面以真空绝对基底-1与全域复相位场\Psi为核心,通过统一概率公式P=|-1+\Psi|^2,实现量子力学与广义相对论自洽融合,修补量子力学“无中生有”逻辑缺陷,严格证明概率归一化,并给出精细结构常数纯几何解析解。理论统一解释量子隧穿、电子自旋1/2、量子纠缠、引力起源、星系旋转曲线、正反物质不对称、时间箭头、黑洞信息悖论等关键问题,提出势能差驱动、活秤砣自适应、误差排泄删减三大工程化机制,形成完备理论与应用闭环。数学层面以阴阳场对偶统一全部数学分支,以总方程\Phi_+=-\Phi_-实现数学大一统,绕开哥德尔不完备定理限制。本体系单公理、无特设假设、无矛盾、全闭合,实现东方哲学与现代科学深度融合,形成数学—物理—哲学完整闭环。 Abstract Based on the only original axiom—Yin-Yang duality and field potential conservation (\mathbb{K}\equiv-1), this paper constructs an ultimate theoretical system of complete unity between mathematics and physics by adopting the paradigm of top-down, single axiom and global closure. In physics, taking the absolute vacuum base -1 and the global complex phase field \Psi as the core, through the unified probability formula P=|-1+\Psi|^2, the self-consistent integration of quantum mechanics and general relativity is realized, the logical defect of "creation from nothing" in quantum mechanics is repaired, the probability normalization is strictly proved, and the pure geometric analytical solution of the fine-structure constant is given. The theory uniformly explains key physical problems such as quantum tunneling, electron spin 1/2, quantum entanglement, gravity origin, galaxy rotation curve, matter-antimatter asymmetry, arrow of time, black hole information paradox, etc., and proposes three engineering mechanisms: potential energy difference drive, live weight self-adaptation, and error excretion and deletion, forming a complete closed loop of theory and application. In mathematics, all branches of mathematics are unified by Yin-Yang field duality, and the mathematical unity is realized by the general equation \Phi_+=-\Phi_-, avoiding the limitation of Gödel's incompleteness theorem. This system has single axiom, no ad hoc assumptions, no contradiction and full closure, realizes the in-depth integration of Eastern philosophy and modern science, and forms a complete closed loop of mathematics-philosophy-physics.
本文以太极阴阳体系为公理基础,建立自洽、严谨且数学完备的太极统一场论,重构太极量子力学,并构建适用于常压室温超导的太极库珀对模型。理论以阴阳对偶常数 K=-1 为核心,统一解释波粒二象性、量子纠缠、不确定性原理、量子隧穿等微观量子现象。同时,本文脱离传统声子机制,由阴阳互根作用直接导出电子自发配对条件,为室温超导提供全新的物理机理。全文公理清晰、推导严谨、物理意义明确,形成可直接用于学术发表的完整理论体系。Based on the axiomatic system of Tai Chi Yin-Yang, this paper establishes a self-consistent, rigorous and mathematically complete Tai Chi Unified Field Theory, reconstructs Tai Chi Quantum Mechanics, and constructs a Tai Chi Cooper pair model suitable for ambient-pressure room-temperature superconductivity. With the Yin-Yang dual constant K=-1 as the core, the theory uniformly explains microscopic quantum phenomena such as wave-particle duality, quantum entanglement, uncertainty principle and quantum tunneling. Furthermore, breaking away from the traditional phonon mechanism, this work directly derives the spontaneous electron pairing condition from the interaction of Yin-Yang interdependence, providing a brand-new physical mechanism for room-temperature superconductivity. The full text has clear axioms, rigorous derivations and definite physical significance, forming a complete theoretical system that can be directly used for academic publication.
本工作在太极统一场论框架下,对量子纠缠现象给出系统性场论解释。传统量子力学将量子纠缠视为非局域关联效应,但未能揭示其底层物理起源。本文提出,量子纠缠的本质是阴场(信息场、相位场)的全域相干与非局域耦合,而阳场(物质场、时空场)保持局域性并满足相对论约束。通过引入太极势 V(K)\propto(K+1)^2 与对偶系数 K,证明 K=-1 为纠缠稳态;通过统一场方程推导纠缠关联条件,阐明纠缠不依赖空间距离的内在机制。本文给出可证伪预言,并通过对应原理保证经典极限下回归局域实在论。研究表明,量子纠缠并非“鬼魅超距作用”,而是阴场固有属性的直接体现,为量子非局域性与时空局域性的统一提供原创理论基础。This work systematically explains quantum entanglement within the framework of Tai Chi Unified Field Theory. Traditional quantum mechanics regards quantum entanglement as a nonlocal correlation effect but fails to reveal its underlying physical origin. This paper proposes that the essence of quantum entanglement is the global coherence and nonlocal coupling of the Yin field (information field, phase field), while the Yang field (matter field, spacetime field) maintains locality and satisfies relativistic constraints. By introducing the Tai Chi potential V(K)\propto(K+1)^2 and duality coefficient K, K=-1 is proved to be the entangled steady state. The entanglement correlation condition is derived through the unified field equation, clarifying the intrinsic mechanism that entanglement does not depend on spatial distance. Falsifiable predictions are provided, and the correspondence principle ensures the return to local realism in the classical limit. The study shows that quantum entanglement is not "spooky action at a distance" but a direct manifestation of the inherent properties of the Yin field, providing an original theoretical basis for the unification of quantum nonlocality and spacetime locality.
本工作在太极统一场论框架下,对海森堡不确定性原理进行系统性重构。传统量子力学将不确定性归因于测量扰动与波粒二象性,但该图景难以揭示其深层场论本质。本文提出,不确定性原理对应阴场(信息/相位场,\phi)与阳场(物质/动量场,\psi)的共轭对偶互补关系。通过引入太极势 V(K)\propto(K+1)^2 证明 K=-1 为系统基态,结合场论符号标准化与对应原理,本工作推导得到统一场论下的共轭不确定关系:\Delta \phi \cdot \Delta \psi \ge \frac{\hbar}{2}|K+1|。研究表明,测量过程本质是阴阳场耦合破缺与相位锁定,无法同时完全确定共轭变量是阴阳场动力学稳态的必然结果。本工作给出可证伪预言,并通过对应原理保证高温极限下回归经典测量逻辑,为量子测量问题与微观—宏观过渡提供统一底层逻辑。This work reconstructs the Heisenberg uncertainty principle systematically within the framework of Tai Chi Unified Field Theory. Traditional quantum mechanics attributes uncertainty to measurement disturbance and wave-particle duality, but such a picture can hardly reveal its deep field-theoretic nature. This work proposes that the uncertainty principle corresponds to the complementary conjugate duality relationship between the Yin field (information/phase field, \phi) and the Yang field (matter/momentum field, \psi). By introducing the Tai Chi potential V(K)\propto(K+1)^2 to prove that K=-1 is the ground state of the system, and combining standardized field-theoretic symbols and the correspondence principle, this work derives the conjugate uncertainty relation under the unified field theory framework: \Delta \phi \cdot \Delta \psi \ge \frac{\hbar}{2}|K+1|. The study shows that the measurement process is essentially the coupling breaking and phase locking of Yin-Yang fields; the inability to simultaneously fully determine conjugate variables is an inevitable consequence of the dynamic steady state of Yin-Yang fields. Falsifiable predictions are given, and the correspondence principle ensures the return to classical measurement logic at high temperature limits, providing a unified underlying logic for the quantum measurement problem and the micro-macro transition. Keywords: Uncertainty Principle; Tai Chi Unified Field Theory; Yin Field; Yang Field; Conjugate Duality; Measurement Breaking; Tai Chi Potential; Correspondence Principle
摘要 / Abstract 本文在太极统一场论的理论框架下,将”真空妙有”“感应道交”“无中生有”等传统本体论与 认识论概念形式化为统一场的四重显现结构——场体、场势、场相与场用。文章以复场 Ψ(x,t) = A(x,t)exp(iθ(x,t)) 为基本数学对象,提出:场体对应统一场的真空基态,即未分化的场本 体;场势由复场相位梯度 ∇θ 与显化强度 |A|² 共同刻画,构成从潜能向现实过渡的中间结构; 场相对应于观测条件与因缘条件下波函数坍缩所形成的可测显相;场用则对应四大力及现象界 相互作用的具体展开。在此基础上,本文进一步探讨了场势与量子叠加态、波函数坍缩、量子 纠缠、ER=EPR 猜想、对称性破缺及规范场相位结构之间的深层对应关系,并提出感应道交可 被理解为场间相位耦合,量子纠缠可视为该相位耦合在微观层面的特殊表现。本文认为,真空 并非绝对虚无,而是未显化的全体可能;妙有并非固定实有,而是场势在条件聚合下形成的暂 时显相;四大力并非彼此孤立的基本实体,而是统一场在不同尺度与不同对称性破缺模式下的 作用分化。该框架试图在东方哲学的整体论直觉与现代物理的场论结构之间,建立一种可继续 数学化的统一描述。 Abstract This paper, within the theoretical framework of the Taiji Unified Field Theory, formalizes traditional ontological and epistemological concepts such as “vacuummiao you” (wonderful existence from emptiness), “induction-response intersection” (gan-ying dao-jiao), and “existence from non-existence” into a fourfold structure of manifestation of the unified field: Field Body (Changti), Field Potential (Changshi), Field Phase (Changxiang), and Field Function (Changyong). Using the complex field Ψ(x,t) = A(x,t)exp(iθ(x,t)) as the fundamental mathematical object, this paper proposes that: the Field Body corresponds to the vacuum ground state of the unified field, i.e., the undifferentiated field ontology; the Field Potential is characterized by the phase gradient ∇θ and the manifestation intensity |A|² of the complex field, constituting an intermediate structure transitioning from potentiality to actuality; the Field Phase corresponds to the measurable manifestation formed through wavefunction collapse under observation conditions and causal conditions; and the Field Function corresponds to the concrete unfolding of the four fundamental forces and interactions in the phenomenal world. Furthermore, this paper explores the deep correspondences between field potential and quantum superposition, wavefunction collapse, quantum entanglement, the ER=EPR conjecture, symmetry breaking, and gauge field phase structure, and proposes that induction-response intersection can be understood as inter-field phase coupling, with quantum entanglement being a special manifestation of such phase coupling at the microscopic level. This paper argues that the vacuum is not absolute nothingness but unmanifested totality of possibilities; wonderful existence is not fixed substantial reality but temporary manifestation formed under convergent conditions; and the four fundamental forces are not independently existing fundamental entities but differentiated modes of operation of the unified field unde… [line truncated, original length=2256]
This monograph presents the philosophical foundation of the ZEBTS framework — the Zero‑Entropy Topological Background and its χ‑Spectral reconstruction of reality. While earlier works introduced the operator‑geometric and spectral‑topological structure of χ‑Reality, this volume establishes the philosophical architecture that enables ZEBTS as a unified theory of the world. ZEBTS is developed as a comprehensive ontology of χ‑Reality, grounded in spectral geometry, operator physics, boundary‑driven emergence, and zero‑structure ontology. It interprets reality not as objects or substances but as a hierarchy of χ‑acts: admissibility, collapse, projection, meaning, existence, and world‑formation. The world appears as a χ‑spectral projection of the Absolute, structured by the Boundary, stabilized by collapse, and interpreted through meaning. Human existence functions as an ontological operator within this architecture. This monograph provides the philosophical justification for ZEBTS as formulated in the author’s previous works: Mukha, A. (2026). χ‑Spectral Reality: Foundations of the Operator‑Geometric Universe. Zenodo. https://doi.org/10.5281/zenodo.21937654 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality The Theory of Everything — SUPER 10 plus Version. Zenodo. https://doi.org/10.5281/zenodo.21921468 These publications establish the mathematical and operator‑geometric basis of χ‑Reality. The present monograph complements them by constructing the philosophical and conceptual foundation required for a complete understanding of ZEBTS. Thus, the monograph is the essential philosophical core of ZEBTS — the conceptual architecture showing why χ‑Reality, χ‑Spectral Geometry, χ‑Collapse, χ‑Boundary, and χ‑World are necessary ontological structures of existence.