The upper bridge (depths 23.8–123) and lower bridge (depths 0.55–1.17) are exactly parallel lines in (R, depth) space. Same slope α⁻¹ = 137.036. The perpendicular distance between them is 0.00085 — geometrically they are almost on top of each other. The sixty-decade apparent separation is an artefact of reading nearly-vertical lines in the vertical direction.
1
Upper bridge: depth = α⁻¹ × R + φ⁻². Positions {φ⁻², φ⁻¹, 1, φ, 2}/√5 give G, H₀, Λ, FDM, and floor. Slope and intercept both derived.
2
Lower bridge coupling: φ^(−(φ(p−1)+4)). No α in the formula. Three positions algebraically proved: p=φ⁻² gives sin²θ_W = φ⁻³ exactly.
3
Bridge duality: every physics position on the upper bridge is a structural gap on the lower, and vice versa. Exact across all five positions.
4
The "4" in the lower bridge formula encodes D=4 spacetime dimensions. In D=3: floor coupling φ⁻². In D=4: φ⁻³ = sin²θ_W. In D=5: φ⁻⁴.
Kill Conditions
K1: G consensus above 6.674×10⁻¹¹ at 200 ppm → eigenmode derivation fails
K2: R(Λ) − R(G) ≠ φ⁻¹ at 100 ppm independently → bridge geometry fails
K3: Weinberg angle deviates from φ⁻³ by >2% after scale matching → lower bridge floor fails
K4: Constants identified at p=φ⁻¹ (0.1964) or p=2 (0.0670) deviate >5% from prediction → lower bridge fails
K5: Fifth position coupling inconsistent with gravity-expansion coupling → fifth position fails
K6: Any confirmed constant deeper than Λ → no-go theorem broken