A Rigorous Global Proof of the 11-Dimensional Coaxial Double-Frustum Closed-Loop System

Based on the supreme cosmic inviolable formula of PFUSR-New17, this paper presents a complete, self-contained, global proof for the 11-dimensional closed-loop system structured as a 45° coaxial double-frustum with solid end bases. The proof fully develops all core arguments: rigorous derivation of the dimensional pathway 1 ⇒ 5 ⇒ 11 from primitive fundamental units; uniqueness of the double-frustum geometry; full compatibility between the double-frustum field evolution equation and the Dirac equation; the physical mechanism of the Number-Object Distribution Package with rigid-soft fault tolerance; and observational evidence from primordial black-to-white hole evolution that directly manifests the double-frustum topology. Exact physical criteria are provided for expansion, steady state, convergence, and catastrophic structural collapse. No external assumptions are introduced; no critical steps are omitted; no presupposed conclusions are used. The paper proves in full logical continuity that the validity of the 45° coaxial double-frustum is strictly equivalent to the validity of the 11-dimensional cosmic steady state. The universe is a self-consistent, closed system governed by rigid ordering, flexible fault tolerance, pre-evolution from valuation to precise fixation, with full internal consistency, no contradictions, no gaps, no ambiguities, and no counterexamples.