Fundamental constants and the Standard Model gauge group from a five-dimensional non-invertible projection

The fine-structure constant α⁻¹ = 137.036, the electroweak mixing angle sin²θ_W = 0.23122, and the gauge group U(1)×SU(2)×SU(3) are derived without free parameters from a single non-invertible projection Π: ℝ⁴×S¹(τ) → ℝ⁴ of a neutral Majorana bulk field Ξ = CΞ̄. All three constants are outputs of the same Fibonacci lattice in ℤ[√5]: α⁻¹ is the squared norm of the boundary Fibonacci matrix M; sin²θ_W is the ratio of its non-abelian diagonal to its trace. Both factor through the spectral norm S = n_min · r = 10. Electromagnetism and the electroweak interaction are two chiral readings of the same residue σ = α⁻¹ at two levels of the coherence cascade — not two separate forces unified by ansatz. The deepest unity: both are properties of the single Noether surface Σ: ξη = α⁻¹, where ξ and η are the longitudinal (gravitational) and transverse (electromagnetic) chiral projections of Ξ. Maxwell and Einstein emerge as the two chiral limits of one unified boundary equation. The Wheeler–DeWitt obstruction is resolved: the bulk is timeless; the boundary is irreversible because π ∉ Q̄(√5) — a theorem of pure mathematics. A falsifiable prediction: palindromic mode-weight pattern {1, φ, φ, 1, 0} at the golden lock-in E_Z/Δ = φ² in existing InAs/Al datasets.