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May 30, 20260 citationsOpen Access

Metrology: The Inevitable Logical Structure of Self-Referential Measurement and the Physical Ontological Foundation of Calculus

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HHHuowang Huang

Key Points

  • This research aims to establish that the laws of the physical world center on measurement rather than force or geometry.
  • Derived core axioms of measurement's self-comparative nature.
  • Developed rigorous proofs of key calculus concepts using physical laws.
  • Explored mathematical isomorphism between time field theory state space and the unit circle on the complex plane.
  • Demonstrated the physical necessity of limits, derivatives, divergences, and integrals.
  • Derived nonlinear field equations that describe gravity and provided explanations for Fermat's principle and the cosmological redshift.
  • Established a comprehensive ontological explanation for Euler's identity, positioning calculus as an inherent language of the universe.

Abstract

物质世界千姿百态,必然有一个共同的根本基础,因为上帝不会那么无聊。 本文提出一个核心命题:物理世界的基本定律并非关于“力”或“几何”的定律,而是关于“测量”的定律。本文从三个核心公理出发——测量的本质是自指比较、尺度由频率差异产生、自指测量的相容性条件是元守恒定律——严格证明了极限、导数、散度和积分等核心微积分概念的物理必然性,推导出了描述引力的非线性场方程,并自然地解释了费马原理、史瓦西解和宇宙红移等基本物理现象。 此外,本文证明了时间场论(TFT)归一化状态空间与复平面上的单位圆之间存在严格的数学同构关系,从而为欧拉恒等式提供了完整的物理本体论解释。研究表明,微积分并非人类发明的数学工具,而是宇宙用于自我测量的固有语言;欧拉恒等式并非抽象的数学奇迹,而是对唯一可能的自指测量数学结构的完整阐述。 本文的结论为理解数学与物理之间的关系、对称性和守恒性的本体论起源以及量子-经典统一提供了一个新的、可证伪的理论框架。 这是时间场论(TFT)研究计划的第一篇奠基性论文。 **引用格式**:Huang, H. (2026). 时间场的度量:自指测量的必要逻辑结构与微积分的物理本体论基础(版本 v1.0)

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Cite This Study

Huowang Huang (2026) studied this question.

synapsesocial.com/papers/6a1a82a00307b785094344d0https://doi.org/10.5281/zenodo.20431243
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