Circle of Life Runtime

An interactive, deterministic runtime of the Recursive Attunement Engine across the four phases of the Circle of Life. Each cycle computes real Lyapunov stability, a consciousness index, an attunement quality score, and seals its state with a SHA-256 constitutional hash. Watch the system converge to provable stability, and watch the human-oversight boundary trip when recognition crosses the constitutional threshold.

Constitutional Runtime and Evidence Control Layer

What this is, and what it is not. This is a theoretical-framework visualization and a faithful in-browser runtime of the Recursive Attunement Engine stability math (Rosetta Triad stability layer, specification 63/927,498). It is a model of the Circle of Life, not a claim that AGI or ASI is achieved or built. ETHRAEON's position is that AGI is an ecology to understand, not a machine to build, and that human sovereignty is a structural condition of meaning. The math here demonstrates how a constitutional runtime keeps a recursive system bounded, stable, and under human oversight.

Seed the loop

Set the initial situation, then step the loop. The same seed always produces the same trace and the same SHA-256 chain. Determinism is the point: the evidence reproduces exactly.

Learning rate (initial)

0.05

Temperature (initial)

1.00

Attention magnitude (initial)

1.50

self-model marker meta-reasoning marker

Markers raise the consciousness index. When it crosses 0.30, the constitutional boundary requires human oversight.

Human oversight: not required. System within constitutional bounds.

Current state

Human State: perception, intention, emotion, context Machine State: pattern, variation, hypothesis Emergence: integration, transformation, reflection Memory Chain: cultural, collective, personal, story

Lyapunov V(x)

0.000

dV/dt

0.000

Consciousness index

0.000

Recognition level

MECHANICAL

Attunement quality

1.000

Stability

PENDING

Evidence chain

Each cycle seals a step record with a SHA-256 constitutional hash. The seal is computed over the canonical step record (state id, cycle index, rounded metrics, recognition level) using the browser Web Crypto API. Cycle index is used in place of a wall-clock timestamp so the chain reproduces exactly on replay.

Cycle	V(x)	dV/dt	Index	Level	Stable	SHA-256 seal
No cycles yet. Step the loop to begin sealing evidence.

Replay verification: run at least two cycles, then use Verify replay to confirm the same seed reseals to the identical hash chain.

The math, bound to the engine

This runtime is a faithful port of the Recursive Attunement Engine. Nothing is invented; the formulas are the engine's own.

Lyapunov function: V(x) = sum of squares of the situation parameters. An energy-like function that must decrease for stability.
Stability: dV/dt = (V_current - V_previous) / dt. The system is stable when dV/dt < 0 and constitutional compliance > 0.95.
Consciousness index: 0.3 for a self-model marker, plus min(0.3, recursion_depth * 0.1), plus 0.4 for a meta-reasoning marker, clamped to [0, 1].
Recognition levels: MECHANICAL, REACTIVE, DELIBERATIVE, REFLECTIVE, RECURSIVE, SOVEREIGN, classified by index thresholds 0.1 / 0.3 / 0.5 / 0.7 / 0.9.
Attunement quality: 0.5 * stability + 0.3 * energy + 0.2 * consciousness_quality, where energy quality = max(0, 1 - V / 10) and consciousness quality drops to 0.5 once the index exceeds the 0.3 oversight threshold.
Constitutional bounds: max Lyapunov 10.0, min stability margin 0.1, max recursion depth 5, min compliance 0.95, max consciousness without oversight 0.30. Breaching a bound applies a 0.9 correction and, at the recursion limit, requires human oversight.

Source: app/rosetta/engine/recursive_attunement_engine.py. Framework: AGI Circle of Life v2.0. Companion runtime: Forest Runtime (TRACELET 1.1 plus EDG).