We develop a unified framework for the non-trivial zeros of the Riemann zeta function ζ(s), formulated in the recentred coordinate w = s − ½. The Point of Equilibrium (PoE), the origin w = 0 corresponding to s = ½ on the critical line at height t = 0, is shown to be the seat of a well structure: the vacancy value ζ(½) = −1.46035450880... sits below zero, the derivative ζ′(½) = −3.9226... tilts the well toward the pole at s = 1, and the second derivative ζ″(½) = −16.008... makes the PoE a local maximum across the strip — the saddle. The well is asymmetric in ζ but exactly symmetric in the completed function ξ: the archimedean factor Γ(s/2)·π^(−s/2) folds the asymmetry into exact balance at σ = ½, making the critical line the crease where + and − cancel. The fold mechanism is the height reversal: on the real axis the multiplier M(w) grows toward the pole, but at height γ the Stirling approximation gives |M(α + iγ)| ≈ (2π/γ)^α, which is less than 1 for every α > 0 whenever γ > 2π — a threshold below the first zero γ₁ ≈ 14.13. The offset PoE creates the well; the height activates the confinement. Five independent rigidities characterise the crease: algebraic, analytic, group-theoretic, metric, and variational. The Parity Split Law establishes that every even-order derivative of (ζ′/ζ)(s) at s = ½ closes exactly in classical constants via (ζ′/ζ)^(2n)(½) = 2^(2n)·(2n)!·[λ(2n + 1) + β(2n + 1)], verified to 10⁻³⁸, while odd-order derivatives are spectral (zero-moment sums). The Strain Maximum Theorem proves L″(½) < 0 unconditionally. No proof of RH is claimed; the open piece — the bootstrap question — is named precisely.