continuous recompute authority loop

Continuous Recomputation Simulation — Pseudocode

1️⃣ Core State Structures

Agent:
    id
    state
    bias
    alpha
    last_update_time
    coherence
    entropy
    rms_drift
    validator_agreement
    provenance_integrity
    codon_integrity

---

2️⃣ Reliability Scalar (Recomputed Each Tick)

function compute_reliability(agent):
    return (
        agent.validator_agreement *
        agent.provenance_integrity *
        agent.codon_integrity *
        drift_stability(agent)
    )

function drift_stability(agent):
    if agent.rms_drift <= 0.001:
        return 1.0
    else:
        return 0.0

---

3️⃣ Time-Weighted Authority

function compute_authority(agent, current_time, lambda_decay):
    delta_t = current_time - agent.last_update_time
    r = compute_reliability(agent)
    return r * exp(-lambda_decay * delta_t)

---

4️⃣ Ω Drift Operator (Local Stabilization)

function omega(agent, authority):
    return (agent.state + agent.bias) * (agent.alpha * authority)

---

5️⃣ SE44 Deterministic Gate

function SE44_pass(agent):
    return (
        agent.coherence >= 0.985 and
        agent.entropy <= 0.01 and
        agent.rms_drift <= 0.001
    )

---

6️⃣ Multi-Agent Resonance Threshold

function resonance_check(authorities, threshold):
    return sum(authorities) >= threshold

---

7️⃣ Main Simulation Loop

initialize agents
lambda_decay = 0.4
resonance_threshold = 1.8

while simulation_running:

    current_time = now()
    authorities = []

    for agent in agents:

        authority = compute_authority(agent, current_time, lambda_decay)
        authorities.append(authority)

        # Drift evolution
        agent.state = omega(agent, authority)
        agent.last_update_time = current_time

    if resonance_check(authorities, resonance_threshold):

        for agent in agents:
            if not SE44_pass(agent):
                break
        else:
            fossilize(global_state_snapshot())

    sleep(tick_interval)

---

What This Produces in a Sim

If no reinforcement:

• validator_agreement drops

• r → 0

• authority decays exponentially

• resonance never reached

If one agent spikes:

• authority briefly high

• decays next ticks

• fails resonance threshold

If multiple agents converge:

• authority accumulates

• resonance threshold reached

• SE44 checked

• fossilization allowed

---

Optional: Reinforcement Injection

To simulate active validator reinforcement:

function reinforce(agent, boost):
    agent.validator_agreement = min(1.0, agent.validator_agreement + boost)

Without periodic reinforcement, authority collapses naturally.

---

Minimal Mathematical Form

Each tick:

[
A_i(t) = r_i(t) e^{-\lambda \Delta t}
]

[
Ω_i(t+1) = (state_i + bias_i) \cdot α_i \cdot A_i(t)
]

Fossilization condition:

[
\sum A_i(t) \ge Θ
\quad \wedge \quad
SE44_pass
]

---

Design Properties

• Stateless tokens

• Authority perishable

• No manual override

• Injection damped by decay

• Consensus required for persistence

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