Mathematical Foundations of Multiflux Theory

English This is the revised manuscript submitted to Physical Review Fluids (Manuscript ID FM10236, January 2026). It presents the full mathematical formalism of Multiflux Theory, redefining turbulence as the non-linear interaction of a finite number of locally coherent laminar subflows (N_eff ≈ 12). The v2.0 formulation unifies Lagrangian and Eulerian approaches through the principle of least action, deriving the projection operator, inter-subflow forcing term, energy exchanges, reduced-order evolution for N(t), and connection to the universal Restoration Collapse Transition law (exponent 0.62). Grid-convergence is demonstrated up to 768³ resolution. All code, data and notebooks are publicly available at: https://github.com/meshwave65/Multiflow-Turbulence Português Esta é a versão revisada submetida à Physical Review Fluids (Manuscript ID FM10236, janeiro de 2026). O trabalho apresenta o formalismo matemático completo da Multiflux Theory, redefinindo a turbulência como interação não-linear de um número finito de subfluxos laminares locais coerentes (N_eff ≈ 12). A formulação v2.0 unifica perspectivas lagrangiana e euleriana via princípio da ação mínima, derivando o operador de projeção, termo de forçamento inter-subfluxo, trocas de energia, evolução reduzida para N(t) e conexão com a lei universal de Colapso Restaurativo (expoente 0.62). Convergência em malha demonstrada até 768³. Código, dados e notebooks públicos em: https://github.com/meshwave65/Multiflow-Turbulence This preprint serves as a companion to the journal submission and includes extended numerical validation.