Interactive 60 FPS computational physics and discrete mathematical micro-labs that bring the foundational axioms and mechanical state machines of SophiaLabs to life.
Explore algebraic graph theory, dynamic $L = D - A$ Laplacian matrices, and the Fiedler vector partition algorithm. Watch automated minimal-cut graph bisection cleave monolithic 420-LOC files and cross-plane layer leaks without destructive AST truncation.
Yin AST vs. Yang Brownian Particles
Stochastic Brownian reasoning tokens (Yang) confined within harmonic potential wells of AST invariant forcefields (Yin).
Topological Codebase Minimal-Cut Decomposition
Explore algebraic graph theory, dynamic L = D - A Laplacian matrices, and the Fiedler vector partition algorithm enforcing Axiom 4.
High-Density Memory Vector Starfield
Interactive 3D WebGL starfield projecting Nomos Mneme subconscious memory vector embeddings into spatial clusters via cosine similarity.
Oscillation, Damping & Dynamic Remedy
Step-response transfer function oscilloscope demonstrating how Nomos damping parameters (ζ >= 1) and the Revert Invariant prevent multi-turn agent feedback chaos.
60 FPS Arcade Defense, Audio & 42 Laser Gates
High-intensity 60 FPS corridor defense game with procedural Web Audio, mini LED VU meter, Ed25519 crypto-bombs, and 42 laser DoD quality gates.
Dual-Core Polarity Shift & Quantum Descent
Control an Autonomous AI Agent traversing sovereign execution strata. Shift polarities between Yin Totem and Yang Flux to deflect defects and achieve atomic 2PC sync.
7-Invariant Cassettes, CapBAC Floppy Interlock & CRT Oscilloscope
Tactile physical computing room inspired by Felix Rieseberg: 7-Law cassette tapes, 3.5" CapBAC floppy interlock, and Tektronix-style CRT Laplacian oscilloscope.
29-DOF Whole-Body ZMP, 21-DOF 5-Finger Cones & MuJoCo MJCF
Orbit a 3D 29-DOF humanoid and zoom into its 21-DOF 5-finger hand to compare unconstrained VLA tip-over/slip failures against Nomos Dual-Scale Control Barrier Functions across 500 seeds.
4-Act Without vs. With Nomos replays: JIT repo steering & verbatim TraceTrial-Bench Docker container execution.
Playable 60 FPS browser-physics micro-labs exploring every Law of the Nomos Deterministic Substrate.
Interactive deterministic CLI playground for testing task lifecycles, CapBAC leases, and AST gate runs.
Live spectator telemetry for Nomos Swarm workers, multi-IDE workstation mesh, and 42 DoD AST verification rails.
Deterministic DoD pass rates, sprint velocity metrics, and local GPU inference economics.