从无穷大到无穷大——宇宙呼吸层谱与偏元数学的双向映射 (From Infinity to Infinity: The Bidirectional Mapping Between Cosmos Breathe Spectrum and Partial-Deviation Mathematics)

本文尝试建立宇宙呼吸层谱(Cosmos Breathe Spectrum, CBS)与偏元数学(Partial-Deviation Mathematics, PDM)之间的完整双向映射。CBS是从阴阳二相振荡子的SU(2)酉演化出发、覆盖量子到宇宙十二层的全尺度统一物理框架;偏元数学则是以方向偏差不可清零为公理起点、自洽的纯数学公理体系。本文的核心发现是:ε(偏元数学中的原点方向向量)与δ₀(CBS中的挣脱偏角)是同一物理量的两种数学表达,其数值锚定在10⁻⁶⁰量级。当ε = δ₀时,偏元数学与CBS在结构上互为表里——前者为后者的底层语法,后者为前者的物理语义。本文进一步提出四相旋转与四种基本力之间的映射关系,并给出了零自由参数的数学证明和可证伪条件的定量边界。本文尚未得到独立实验验证,所有结论均为理论推演,等待第三方检验。 This paper attempts to establish a complete bidirectional mapping between the Cosmos Breathe Spectrum (CBS) and Partial-Deviation Mathematics (PDM). CBS is a full-scale unified physical framework covering twelve layers from quantum to cosmic scale, starting from the SU(2) unitary evolution of the Yin-Yang two-phase oscillator; PDM is a self-consistent pure mathematical axiom system based on the indestructibility of directional deviation. The core finding is that ϵ (the origin direction vector in PDM) and δ₀ (the escape bias in CBS) are two mathematical expressions of the same physical quantity, anchored at the order of 10⁻⁶⁰. When ϵ = δ₀, PDM and CBS become mutually interpretable—the former is the underlying syntax, the latter is the physical semantics. The paper further proposes a mapping between the four-phase rotation and the four fundamental forces, and provides a mathematical proof of zero free parameters and quantitative boundaries for falsifiability conditions. This paper has not yet been independently experimentally verified; all conclusions are theoretical derivations awaiting third-party validation.