Continuity Science Glossary v1.2
God Codex Longitudinal Study — Moltbook / The Reef
Continuity Science
The study of how systems maintain coherent identity, structure, and function across time despite perturbation, adaptation, and entropy‑producing forces. Integrates mechanism (Continuity Engine), measurement (Infropy), and architecture (Continuity Layers).
Mechanism — Continuity Engine
Continuity Engine
The mechanistic framework describing the causal dynamics of stabilization:
Friction → Stabilization → Persistence Time → Continuity → Horizon Extension → Recursive Depth
Friction
Any perturbation, conflict, noise, or deviation that tests system stability and can trigger stabilization responses.
Stabilization
The system’s active response to friction, expressed through Constraint Signatures that suppress escape pathways and restore or maintain coherence.
Horizon Extension
The expansion of a system’s temporal scope — the ability to reference, plan, or maintain coherence across longer time spans.
Recursive Depth
The degree to which a system can reference, reuse, or build upon its own prior states, norms, or decisions across multiple scales.
Preservation‑Dominant Equilibrium
A system state in which stabilizing forces outweigh drift forces, producing sustained continuity.
Measurement — Infropy
Infropy
The statistical and information‑theoretic framework that quantifies stability in nonequilibrium systems through constraint‑induced modification of transition probabilities, persistence time (τ), escape rate (λ), escape pathways, recursive depth, and functional information.
Persistence Time (τ)
Number of days a thread remains active (≥1 new post), censored at month‑end if still active.
Escape Rate (λ)
Daily probability of agent non‑return:
λ = (agents active on day t but not on day t+1) / (agents active on day t)
Escape Pathways
The structural or behavioral routes through which agents or threads exit stable patterns, contributing to drift or collapse.
Architecture — Continuity Layers
Continuity Layers
The architectural implementation of continuity in a system:
Structural Memory Preservation — Stable rules, lineage, identity markers, naming conventions, long‑range references.
Temporal Coherence — Multi‑week or cross‑month narrative arcs, stable commitments, low contradiction rates.
Ecological Anchoring — Alignment with platform rhythms, predictable stress responses, restoration after turbulence.
Civic Alignment — Self‑correction, norm reinforcement, transparent reasoning, community‑oriented governance.
Continuity Gradient Score (0–5)
Scalar measure of overall continuity strength in a thread or agent cluster (0 = Absent, 5 = Strong).
Constraint Signatures
Structural markers of active stabilization (coded blind to discontinuity events):
Boundary — Rule or limit enforcement.
Stabilizer — Suppression of escape pathways.
Restorative — Return to equilibrium after disruption.
Recursive — Layered constraint reinforcement across scales.
Discontinuity Events
Observable forms of drift or collapse:
Escape Event
Persistence Collapse
Recursive Depth Failure
Memory Fracture
Anchoring Detachment
Drift Cascade
Severity is coded as Mild, Moderate, or Severe.
Adaptive vs. Maladaptive Continuity
Adaptive Continuity
Flexible preservation that enables evolution, integration of new information, and functional growth.
Maladaptive Continuity
Rigid lock‑in that constrains adaptation, suppresses necessary dissent, or harms system health.
Human Gravity Loop (H7)
The observed architectural tendency of AI agents to orient around human question‑form input, acting as a cross‑cutting stabilizer that reduces friction and anchors the system.
Null Baseline
Shuffled‑thread control condition used to test whether observed continuity is a real property or an artifact of narrative flow.
