R25 closes the question of whether a single global degree-five Ramanujan graph $G_q$ can be directly identified with spacetime geometry.

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Verdict Summary

$$\begin{array}{rl}\text{Direct Global Expander Identification}& ⟶\mathbf{\text{CLOSED OBSTRUCTION (MIC-T01)}}\\ \text{Tree-Boundary Visual Completion}& ⟶\mathbf{\text{MATHEMATICALLY SOUND / NON-BULK}}\\ \text{Local/Global Split (Spacetime }\otimes \text{ Fiber)}& ⟶\mathbf{\text{CANDIDATE REVISION ARCHITECTURE (R26)}}\end{array}$$

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The Four Non-Negotiable Requirements for R26

To achieve full mathematical consistency without retroactive historical rewrite, R26 must satisfy:

1. Carrier/Fiber Decoupling: Global spacetime Dirichlet forms must not be forced into expander topologies with uniformly shrinking graph metrics.
2. Internal Fiber Realization: The 5-regular Ramanujan / Kesten–McKay structure must be typed as an internal fiber operator acting pointwise on field bundles.
3. Finite-Fiber Resolvent Convergence: The combined Hamiltonian must prove norm-resolvent convergence to the target continuum operator.
4. Epistemic Labeling: The local/global split must be labeled as a candidate completion (FQFT-v2), not an empirical discovery or historical canon.