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共振对称性与洛伦兹变换
Resonance Symmetry and Lorentz Transformation
摘要
[目的] 本文在“现实物理学”统一范式下，重新审视狭义相对论的时空变换基础。
[方法] 不同于基于运动相对性和时空对称原理的传统路径，本研究依据核-伴子系统（如恒星-行星、原子核-电子）的共振对称性推导洛伦兹变换。
[结果] 通过引入二维向量映射共振椭圆轨道状态，求解保持向量长度的正交变换矩阵,导出了联系两个非惯性系的洛伦兹变换完整形式。通过相对论近似，复现了狭义相对论的惯性洛伦兹变换。
[局限] 正交变换适用于双球共振系统，非球形共振系统需要推广为普遍的幺正变换。
[结论] 研究表明，狭义相对论的核心时空结构是一种从两体共振系统的动力学对称性中自然呈现的数学形式。
Abstract
[Objective] This paper re-examines the foundation of spacetime transformation in special relativity under the unified paradigm of “Real Physics”. [Methods] Diverging from the traditional approach based on relativity of motion and symmetry of spacetime, this study derives the Lorentz Transformation from the resonance symmetry of a nucleus-companion system (e.g., star-planet, nucleus-electron). [Results] By introducing a two-dimensional vector to map the state of resonant elliptical orbits and solving for the orthogonal transformation matrix that preserves vector magnitude, we obtain the complete form of the Lorentz Transformation linking two non-inertial frames. Through relativistic approximation, the inertial Lorentz Transformation of special relativity is recovered. [Limitations] Orthogonal transformation is applicable to the two-sphere resonance system. It needs to be generalized to unitary transformation for non-spherical resonance systems. [Conclusions] The results indicate that the core spacetime structure of special relativity is a mathematical form that naturally emerges from the dynamic symmetry of classical two-body resonant systems.关键词
现实物理学/核-伴子系统/共振对称性/洛伦兹变换Key words
Real Physics/ Nucleus-Companion System/ Resonance Symmetry/ Lorentz Transformation引用本文复制引用
梁忠诚.共振对称性与洛伦兹变换[EB/OL].(2026-07-14)[2026-07-15].https://sinoxiv.napstic.cn/article/26062117.学科分类
物理学基金
国家自科基金 基于离子液体介电润湿效应的阵列式液体透镜自共相技术研究( 61775102 )