Gravitational Dipole Dynamics: Binary Mass Interaction & Relativistic Fields
Two-body gravitational dipole interaction models, multipole expansions, and orbital stability analyzed via RK4 integration in Rust WebAssembly.
Null Space Dynamics: Matrix Kernels & Superluminal Vacuum Fields
An exploration of linear transformation null spaces, matrix rank-nullity theorems, and superluminal light speed vacuum regions using Rust WASM renders.
Probability Calibration in Prediction Markets: Monte Carlo vs. ML
Comparing parametric Monte Carlo SDE simulations against non-parametric machine learning models for calibrated probability estimation on Hyperliquid market data.
3D N-Body Systems: Octree Dynamics & Collision Detection
High-performance 3D spatial partitioning for planetary and gravitational interactions using Barnes-Hut octree algorithms and OpenGL WASM canvas.
Neural Byte: Evolutionary Agent Simulation in Rust
Evolutionary neural network simulation built in Rust, featuring real-time brain topology visualization, genetic mutation, and food foraging dynamics.
Hagen-Poiseuille Flow: Viscous Fluid Dynamics & Pipe Flow
An investigation into laminar viscous flow through cylindrical pipes, parabolic velocity profiles, temperature-dependent viscosity, and the fourth-power law.
Surface Integrals of Scalar Fields: Area Distortion & Integration
Exploring surface differential elements, Gram-determinant metric tensors, and interactive 3D surface parameterization via WebAssembly.
Visualizing Vector Fields: Topology, Calculus & Streamlines
Interactive field lines, divergence, curl, and vector field phase space trajectories rendered in real-time WebAssembly.
Gabriel's Horn: Infinite Surface Area, Finite Volume
Mathematical analysis of the paradox of Gabriel's Horn formed by rotating y = 1/x around the x-axis, proving infinite surface area with finite volume.
Denoising HFT Microstructure Noise: Causal Rolling Fourier Filters
Real-time spectral filtering of high-frequency orderbook tick noise without phase lag using mirrored Hann windowing and Radix-2 FFT.
Strange Attractors: Chaos & Geometry in Phase Space
Visualizing non-linear differential systems, Lorenz attractors, sensitive dependence on initial conditions, and chaotic phase space orbits.
Scaling Gravity: N-Body Simulation & Barnes-Hut
Quadtree-accelerated 2D gravitational interaction models applied to target tracking and autonomous drone swarm dispersion.