The "metabolic governor"
The "metabolic governor" in the PTC-Ω v1.1 framework refers to the continuous control loop that manages the "life cycle" of authority through exponential decay and validator-driven reinforcement. This logic ensures that trust is a perishable resource that requires active "metabolic" input (validation) to maintain resonance.
The following pseudocode, synthesized from the system's simulation and hardware specifications, outlines the governance of this authority metabolism:
1. Core State Definition (The Pillar/Agent)
Every participating agent or "pillar" in the swarm maintains a state vector that is subject to the governor's decay constants.
Structure Agent:
id: Identifier
state: Observed external vector
bias: Declared domain deviation
alpha: Contextual amplification scalar
last_update_time: Monotonic timestamp
validator_agreement: Live scalar (0.0 - 1.0)
provenance_integrity: Static scalar (0.0 - 1.0)
rms_drift: Observed signal variance
2. The Reliability Scalar ($r_i$)
The governor first computes the reliability of the current emission. This is a weighted product of identity validation and drift stability.
function compute_reliability(agent):
# Drift stability is binary: 1.0 if within SE44 bounds, else 0.0
drift_factor = 1.0 if agent.rms_drift <= 0.001 else 0.0
# Reliability is the intersection of validation and stability
return (agent.validator_agreement *
agent.provenance_integrity *
drift_factor)
3. Authority Metabolism (Decay and Decay-Correction)
This is the heart of the governor. It applies the time-weighted decay coefficient ($\lambda$) to determine how much of the agent's previous authority remains.
function compute_authority(agent, current_time, lambda_decay):
# Calculate time delta since last "metabolic" reinforcement
delta_t = current_time - agent.last_update_time
# Calculate reliability scalar (the "metabolic input")
r = compute_reliability(agent)
# Authority decays exponentially over time: A = r * e^(-λΔt)
return r * exp(-lambda_decay * delta_t)
4. The Ω-Operator (Local Stabilization)
The governor uses the computed authority to bound the agent’s influence on the system state, effectively attenuating or amplifying the output based on its current "health".
function apply_omega_governance(agent, authority):
# Ω = (state + bias) * (alpha * authority)
return (agent.state + agent.bias) * (agent.alpha * authority)
5. Swarm Resonance and Fossilization
The metabolic governor checks the collective "energy" of the swarm against a resonance threshold ($\Theta$). If the sum of decaying authorities is too low, the system enters a dormant state; if high enough, it triggers a "fossilization" event to the ledger.
function governance_loop(agents, lambda_decay, resonance_threshold):
while system_active:
current_time = get_monotonic_time()
swarm_authorities = []
for agent in agents:
# 1. Compute perishable authority
authority = compute_authority(agent, current_time, lambda_decay)
swarm_authorities.append(authority)
# 2. Update local agent drift
agent.state = apply_omega_governance(agent, authority)
agent.last_update_time = current_time
# 3. Resonance Check: Σ A_i >= Θ
if sum(swarm_authorities) >= resonance_threshold:
# 4. Final SE44 Deterministic Gating
if all(SE44_pass(agent) for agent in agents):
fossilize_to_ledger(global_snapshot())
else:
trigger_quarantine_protocol()
wait(tick_interval)
Key Functional Constraints
- Decay Dominance: Without active
validator_agreementreinforcement (injection of "boosts" by live validators), the reliability scalar ($r$) drops, causing authority to collapse toward zero. - SE44 Enforcement: Even if resonance is reached, the "metabolic" output is rejected if it fails the semantic gates: Coherence must be $\ge 0.985$, Entropy $\le 0.01$, and RMS Drift $\le 0.001$.
- Quorum Lock: In multi-validator environments, the
validator_agreementscalar is only boosted if $\ge 2$ independent validators sign the emission, preventing any single entity from manually overriding the metabolic decay.
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