Follow a result back to its evidence.

THE ZETA BUDGET, BOTH ROUTES COMPUTED EXACTLY (the reduced seam route carries pure anchor-ratio anomalies; the naive 4d route does not — the budget computation structurally selects the reduced seam reading): Euclidean Nariai = S²×S², so the temporal dS₂ sector continues to the SAME unit sphere; THE REDUCED ROUTE [I]: each 2d sector carries the v132 operator with ζ(0)|det′ = −2/3; two sectors give budget = −4/3 = −e₁/p₀ = MINUS THE SEED GAIN (the second v119 triad ratio; the first, −2/3, is the per-sector share); the six zero modes split 3+3 across the two spheres — the sheet doubling IS the two-sphere structure of Euclidean Nariai (= the horizon pair, v101); THE NAIVE 4D ROUTE [I]: standard unit-S² heat expansion 1/t + 1/3 + t/15 (verified numerically), symmetric split ⇒ a₂(4d) = (4/3)² + 2·(9/10) = 161/45, six zero modes, ζ(0)|det′,4d = 161/45 − 6 = −109/45 (continuation ~1e−8) — NO anchor-atom reading; ROUTE DISCRIMINATION [I+P]: reduced-route anomalies = pure anchor ratios (two of the three triad values), 4d-route anomaly is not an atom ⇒ the ζ budget structurally favours the REDUCED seam reading, consistent with the 2d-seam architecture (route-selection evidence, not proof); remaining [P]: graviton/ghost shares on S²×S² (Volkov–Wipf class) — a finite list of known heat coefficients

Linked claims

HOR.CLOCK.10

Paper sections

Source section 1Source section 2Source section 3Source section 4Source section 5Source section 6Source section 7Source section 8Source section 9