Numerical analysis demonstrates strictly monotonic cumulative projected capacity across breadth-first search cascades, indicating an emergent temporal ordering in spectral admissibility models.
We identify a monotone proxy for temporal ordering within the Cosmochrony spectral admissibility programme. The natural observable along the BFS cascade is not the residual capacity σₚₐᵢᵣ(n), which decays by construction, but the cumulative projected capacity I(n) = σₚₐᵢᵣ(0) - σₚₐᵢᵣ(n), which measures the spectral structure already projected at depth n. For q ∈ \29, 61, 101, 151, 211\, $I(n)$ is found to be strictly non-decreasing at every BFS step, for every conjugate pair (c, q-c), with zero physically meaningful regressions observed across 274 pairs and 360 steps after burn-in. The temporal ordering is not a dynamics on the substrate χ, but an induced ordering relation on admissible projections, compatible with the observable rank stability established in O24. The saturation plateau of $I(n)$ is interpreted as Born–Infeld saturation at the pair level.
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Jérôme Beau (2026) studied this question.
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