Dynamic Degenerate Fiber Bundle and Emergent Spacetime Model III: Cartan Torsion, Macroscopic Spin Coherence, and Chiral Symmetry Breaking

AbstractExtending the field-theoretic foundations established in Papers I and II (DOIs: 10.5281/zenodo.23194412,10.5281/zenodo.23828500), Paper III resolves the dual-scale paradox between smooth macroscopicgravitational curvature and microscopic topological "punctures" connecting physical spacetime toimaginary fiber coordinates. We embed the DDFB-EST action within the Einstein-Cartan-Sciama-Kibble(ECSK) gauge framework, where energy-momentum sources curvature while intrinsic spin density sourcesspacetime torsion. We prove that in unpolarized bulk matter (e.g., celestial bodies), random thermal spindistributions cause torsion to statistically cancel, while in the deep space vacuum, the absenceof fermion sources trivially yields zero torsion. In both limits, macroscopic spacetime defaults to standardsmooth Riemannian curvature. Conversely, under coherent non-equilibrium driving—or in ultra-densedegenerate quantum states where thermal randomizing fails—collective spin alignment bypasses statisticalcancellation, generating macroscopic torsion vortices that trigger metric degeneration (a⊥ → 0, b → 1) andopen singular transport channels across physical boundaries. Furthermore, we advance beyond verticalSO(2) stratification by introducing horizontal environmental vector fields—specifically geomagnetic fluxand diurnal solar kinematic vectors—which break the residual continuous azimuthal symmetry down toSO(1) ≅ ℤ2. This secondary symmetry breaking selects chiral parity states, dynamically deriving theuniversal emergence of bilateral symmetry and directed non-equilibrium limit cycles in morphogenesis.中文摘要承接第一篇与第二篇论文(DOI: 10.5281/zenodo.23194412, 10.5281/zenodo.23828500)确立的规范场论基础,第三篇论文致力于解决宏观平滑引力曲率与微观虚实通道“时空破口”之间的跨尺度对偶佯谬。本文将DDFB-EST 作用量嵌入爱因斯坦-嘉当(ECSK)引力规范框架,阐明能量-动量张量激发时空曲率,而内禀自旋流激发时空挠率。本文证明:在热无序的宏观凝聚态天体中,粒子自旋随机取向导致挠率在统计平均下归零;而在深空真空中,费米子源的缺失同样导致挠率严格为零。在这两种极限下,宏观时空均表现为标准的无挠黎曼光滑弯曲。相反,在非平衡相干激发下,或在热随机失效的超密简并量子态中,自旋的宏观长程对齐将打破统计相消,诱发局域嘉当挠率涡旋与度规退化(a⊥ → 0, b → 1),在物理边界处打开高维拓扑通道。进一步地,本文打破第二篇确立的 SO(2) 轴对称性,引入地磁场与天体运动流等横向环境矢量场,使系统连续旋转对称性完全破缺至 SO(1) ≅ ℤ2。这一二次对称性破缺为手性拓扑剪枝、生物形态发生中的两侧对称性(Bilateral Symmetry)以及定向耗散极限环的涌现提供了严格的微分几何推导。