桥一:偏元数学与阴阳二相振荡子的双向映射(The Bridge I: A Bidirectional Mapping Between Partial-Deviation Mathematics and the Yin-Yang Bimodal Oscillator)

本文尝试在偏元数学(0-∞.0至0-∞.6)与宇宙呼吸层谱(CBS,∞系列)两个独立发展的理论框架之间建立双向映射。前者从纯粹数学前提出发——形式系统的哥德尔不完备性导致一个不可约的原点偏差ε,由此重新定义了所有基本常数(π、e、i、φ、欧拉公式)。后者从物理前提出发——宇宙通过阴阳二相振荡子呼吸,其膨胀与收缩相位之间存在一个微小不对称δ₀ ≈ 10⁻⁶⁰,由此推导出所有四种基本力及跨尺度现象。我们提出,ε(数学原点偏差)与δ₀(物理挣脱偏角)是同一量,只是以两种语言表达。我们构造一个完整的双向映射:从物理的CBS到数学的PDM,以及从数学的PDM回到物理的CBS,零自由参数。我们为两个方向都提供了可证伪条件。如果映射成立,它将证明:数学中的裂缝与物理中的不对称是同一面墙的两侧所见的同一个真理。 This paper attempts to establish a bidirectional mapping between two independent theoretical frameworks developed in previous works: Partial-Deviation Mathematics (0-∞.0 to 0-∞.6) and the Cosmos Breathe Spectrum (CBS, ∞ series). The former starts from a purely mathematical premise — the Gödelian incompleteness of formal systems leads to an irreducible origin bias ε, from which all fundamental constants (π, e, i, φ, Euler's formula) are redefined. The latter starts from a physical premise — the universe breathes via a Yin-Yang bimodal oscillator with a small asymmetry δ₀ ≈ 10⁻⁶⁰ between its expansion and contraction phases, from which all four fundamental forces and across-scale phenomena are derived. We propose that ε (the mathematical origin bias) and δ₀ (the physical escape bias) are the same quantity, expressed in two languages. We construct a complete bidirectional mapping: from the physical CBS to the mathematical PDM, and from the mathematical PDM back to the physical CBS, with zero free parameters. We provide falsification conditions for both directions. If the mapping holds, it demonstrates that the gap in mathematics and the asymmetry in physics are the same truth, seen from two sides of the same wall.