GDC · Mechanism Cards · Tier 2

The mechanism, computed live.

These two cards don't animate a diagram — they run the real computation in your browser and draw its actual output. Move the inputs; the numbers are true. Both are the hardest claims in the architecture to grasp from prose: the evidence conservation law and the heterogeneous-coordinate codon. Zero dependencies, fully offline.

TIER 2 · LIVE COMPUTATION

The Conservation Law — Ξ never decreases

Ξ_terminal ≥ Ξ_entry · evidence accumulates or the chain trips Lysis

Each morphism (D, G, S, E, Ξ…) adds evidence norm. The invariant: the running Ξ can only rise. Force a drop — inject malicious data — and the membrane trips Lysis the instant the curve would fall. This is computed: the bars are the real accumulated norm, the trip is the real comparison.

TIER 2 · LIVE COMPUTATION

The 5-Tuple Codon — five origins, one norm

C = (x,y,z,T,s) · heterogeneous coordinates · validity = scalar-norm conservation

Five axes of different ontological origin — math, physics, intent, a dissipative clock, a scale parameter — collapse to a single scalar norm. When the norm sits inside the wobble band, the codon is valid; when the pseudoscalar-like term dominates (wrong chirality), it goes dark. No conventional coordinate system mixes origins like this; the norm is the validity proof.

Simplified norm. This card computes a plain Euclidean norm √(x²+y²+z²+T²+s²) over the five sliders, and a chirality proxy |β|=|T·s|, so the mechanism is legible at a glance. The real substrate embeds the five parameters as grades of one Cl(3,0) multivector and takes the Clifford norm ‖C‖ = √⟨CC̃⟩₀, with β the true pseudoscalar; the wobble band comes from manifold calibration. The shape shown is faithful; the arithmetic is teaching-simplified. See the deep dive for the full derivation.

GDC · mechanisms (Tier 2)← overview