等号不存在:三维 Navier–Stokes 奇点机制的结构性出局声明/No Equality Channel: A Structural Exclusion Statement for 3D Navier–Stokes Blow-Up Mechanisms

本文不是去“逼近最优常数”或“寻找等号形态”,而是直接审计:在方程内生约束(尤其是涡度散度自由与耗散账本)下,所谓爆炸所需的等号通道并不属于可达态。由此,任何有限时奇点若想作为终局机制成立,必须同时满足一组互斥的等号结构;该集合在约束子空间中为空。结论:奇点假设被结构性排除,而非被计算强行压制。 This work does not pursue sharper constants or equality cases. Instead, it audits reachability: under intrinsic constraints of the equations (notably divergence-free vorticity and the dissipation ledger), the equality channel required by any finite-time blow-up is not an admissible state. Any terminal blow-up mechanism would force simultaneous near-equality across mutually incompatible inequalities; the corresponding equality set is empty inside the constrained subspace. Hence the singularity hypothesis is structurally excluded, rather than suppressed by lengthy estimates.