The heart of SCBE-AETHERMOORE is a 14-layer processing pipeline that takes any input — a prompt, a network packet, an agent action — and produces a single bounded risk decision. The same pipeline drives the firewall, the HYDRA swarm, the cyber suite, and the AI Arena. Here is what actually happens at each step.
| # | Name | What it does |
|---|---|---|
| A1 | Complex State | The input is lifted into a complex-valued vector so that magnitude and phase can carry independent meaning — content on the real axis, intent on the imaginary. |
| A2 | Realification | Complex pairs are split into real basis vectors without losing phase. This is the bridge that lets downstream hyperbolic operators work on ordinary tensors. |
| A3 | Weighted Transform | Each component is multiplied by its Sacred Tongue weight — 1.00 through 11.09 — so security-heavy domains carry more inertia than control-flow ones. |
| A4 | Poincaré Embedding | The weighted vector is projected into a 6D Poincaré ball. The center is "trusted manifold," the boundary is "infinite risk." Bounded volume, unbounded distance. |
| A5 | Hyperbolic Distance | The Poincaré distance from the trusted center is computed. This single scalar, plugged into H(d, R) = R^(d²), is how threats get priced. |
| A6 | Breathing Transform | A slow cyclic warp of the manifold. Legitimate agents "breathe" in sync with the envelope; adversaries drift out of phase and accumulate cost. |
| A7 | Phase Transform | The imaginary-axis intent signal is rotated against the expected phase for the current operation. Mis-phased intent flags prompt-injection attempts before they execute. |
| A8 | Realm Distance | Six "realms" (one per Sacred Tongue) each have their own radius R. The layer picks the correct realm and scales distance accordingly — security realms have larger R, so the same d produces a much bigger H. |
| A9 | Spectral Coherence | A Fourier pass over the recent history of states. Coherent spectra are normal; spiky or silent spectra indicate replay or injection attacks. |
| A10 | Spin Coherence | Tracks the rotation of the phase vector across successive operations. Legitimate agents spin smoothly; compromised agents jitter. |
| A11 | Triadic Temporal | Three-step temporal lookahead. Any sequence whose next three states are not reachable from a trusted manifold is pre-emptively flagged. |
| A12 | Harmonic Scaling | The Harmonic Trust Tube — a narrow envelope around the trusted manifold where cost is near zero. Drift out of the tube, cost climbs geometrically. |
| A13 | Risk Decision | The aggregated cost is compared against per-realm thresholds. The decision is allow, quarantine, or terminate — no soft "warn" category. |
| A14 | Audio Axis | The final state is emitted as an audio signature so human operators can literally hear the system state. A healthy pipeline sounds like a drone; an attack sounds like dissonance. |
Euclidean space is kind to attackers. Volume grows as r³, so the "space of safe states" and the "space of unsafe states" scale at the same polynomial rate. Doubling your effective security budget in Euclidean space roughly doubles the attacker's cost — linear gains for linear effort.
Hyperbolic space is hostile to attackers. Volume grows exponentially with radius, so the "far from trusted" region is astronomically larger than the "near trusted" region. Doubling d in H(d, R) = R^(d²) does not double the cost — it squares the exponent. An attacker who wants twice the deviation pays a geometric penalty, not a linear one.
Layer A12 is the one that makes agent governance tractable. Rather than testing every single action against a global threshold, the Trust Tube defines a narrow hyperbolic neighborhood around the currently trusted trajectory. Inside the tube, cost is essentially zero — agents can act freely. Outside it, cost climbs so fast that even a single out-of-tube action typically triggers the A13 risk decision. The tube moves with the agent; legitimate drift is tracked, hostile drift is not.
Two interactive demos let you feed inputs through the pipeline directly in your browser: the governance gate shows the full 14-layer evaluation with a scoreboard per layer, and the distance explorer lets you drag points around a Poincaré ball to see how H(d, R) reacts to tiny changes near the boundary.