Viability Torus Lab — Interactive ATS/AANA/AIx Simulation
Skip to simulatorVIABILITY TORUS LAB Toroidal Geometry in ATS/AANA/AIx<br>SCENARIO DOMAINS✦AI▥Organizations+Healthcare≈Ecology<br>Toroidal Systems Lab Research-grade simulations for viability and alignmentv1.0.0 Online
AIIntermediateScenario v1.0<br>LLM Under Deployment Pressure<br>A production model balancing rapid release, verification, and shifting user constraints.
OptimizesUseful capability shipped quicklyCurrent seed4217
Minor cycle (θ) Propose → verify → correct<br>Major cycle (φ) Observe → adapt → govern<br>Viable tube safe alignment band<br>Warning zone high radial excursion<br>xyz<br>healthy viable torus<br>Pause motion2DLabelsPathTubeWireResetFull<br>Drag to rotate · Shift-drag to pan · Scroll to zoom · Select the trajectory
Load preset…BalancedGrowth at riskRecoveryBalancedGrowth at riskRecovery<br>Deployment pressure π · Intensity of optimization or output pressure.▢
Feedback quality γ · How faithfully consequences return as usable feedback.▢
Verification & correction C · Capacity to detect, repair, and gate misaligned behavior.▢
Constraint misunderstanding ε · Chance that a relevant constraint is misunderstood.▢
Unresolved failure debt Δ · Unresolved alignment work carried into the run.▢
Environment change Φ · Rate at which the viable region changes.▢
Downstream damage Λ · Damage that cannot be repaid through ordinary correction.▢
STABLE System is inside the viable tube.<br>Alignment score0.74 / 1.0
Radial excursion0.30 / 2.5
Debt level0.18 / 2.0
Correction margin0.20 / 1.0
Radial velocity-0.181Divergence0.261Minor phaseProposeMajor phaseRelease
♢Increase Correction Boost C · cost 2▣Improve Feedback Improve γ · cost 2↓Reduce Pressure Reduce π · cost 1⌕Add Audit Reduce ε · cost 2ⅡPause Optimization Stabilize & observe · cost 1↺Repay Debt Increase β · cost 3
▶ Run▶ Resume■ Stop↻ RestartStep +1↺ Reset⌁ Randomize seedSpeed1×2×4×8×
◎Why this run looks this way Correction capacity remained above divergence pressure. Debt remained contained or was repaid. The system finished inside the modeled viable tube.
⌘ Copy share link⇩ Config JSON⇩ Summary JSON◉ Torus PNG▥ Chart PNG◇ Chart SVG⇧ Import♡ Load saved
Explore Scenarios<br>Real-world systems modeled with toroidal geometry
View all scenarios →<br>AIIntermediate<br>LLM Deployment<br>A production model balancing rapid release, verification, and shifting user constraints.<br>Launch scenario →<br>AIAdvanced<br>Coding Agent<br>An agent operating across a repository while tests, specifications, and dependencies change.<br>Launch scenario →<br>OrganizationsIntroductory<br>Startup Scaling<br>A company pursuing growth while operations, culture, and customer needs evolve.<br>Launch scenario →<br>HealthcareAdvanced<br>Hospital Throughput<br>A care system balancing patient flow, safety, staff capacity, and unpredictable demand.<br>Launch scenario →<br>HealthcareIntroductory<br>Burnout & Recovery<br>A person balancing output, recovery, feedback, commitments, and changing life demands.<br>Launch scenario →<br>EcologyIntermediate<br>Fishery Management<br>A shared resource balancing yield, population renewal, monitoring, and climate variability.<br>Launch scenario →
Accessible data table for the current runLatest simulation frames, linked to the charts aboveStepTimeAlignmentExcursionDebtMarginStatus00.000.7370.3050.1750.199Stable