sLabs Visual Simulation Suite
Interactive 60 FPS computational physics and discrete mathematical micro-labs that bring the foundational axioms and mechanical state machines of SophiaLabs to life.
Spectral Graph Laplacian & Fiedler Slicer
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.
ALL ARCADE SIMULATIONS
Real-time Svelte 5 Runes + Canvas 2D / WebGLDual-Core Confinement Arena
Yin AST vs. Yang Brownian Particles
Stochastic Brownian reasoning tokens (Yang) confined within harmonic potential wells of AST invariant forcefields (Yin).
Spectral Graph Laplacian & Fiedler Slicer
Topological Codebase Minimal-Cut Decomposition
Explore algebraic graph theory, dynamic L = D - A Laplacian matrices, and the Fiedler vector partition algorithm enforcing Axiom 4.
Cosmos 3D Semantic Constellation
High-Density Memory Vector Starfield
Interactive 3D WebGL starfield projecting GitBrain subconscious memory vector embeddings into spatial clusters via cosine similarity.
Cybernetic Damped Controller
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.
Byzantine 2PC Verification Chamber
60 FPS Arcade Defense, Audio & 39 Laser Gates
High-intensity 60 FPS corridor defense game with procedural Web Audio, mini LED VU meter, Ed25519 crypto-bombs, and 39 laser DoD quality gates.
Transverse Cognitive Walker
Dual-Core Polarity Shift & 4-Plane Quantum Descent
Control an Autonomous AI Agent traversing the 4 canonical planes (INT, MEM, SUB, INF). Shift polarities between Yin Totem and Yang Flux to deflect defects and achieve atomic 2PC sync.