Current Projects
Below are active projects in production and advanced development, alongside investigations in progress. These span interactive visualization platforms, educational tools, research systems, and explorations in physics, dynamical systems, and engineering.
Active
Electrostatics Lab
Interactive 3D web-based visualization application for exploring electric fields and potentials from diverse charge configurations. Students manipulate charge magnitudes, positions, and geometries while observing real-time field lines, equipotential surfaces, and slice views. Bridges mathematical formulas to physical intuition through hands-on exploration.
In ProgressDynamical Systems Laboratory
Interactive browser-based simulation platform for exploring 45+ dynamical systems across physics, mathematics, and applied sciences. Implements models from logistic growth to chaos (Lorenz, Rössler) with real-time parameter manipulation, 2D phase portraits, 3D trajectories, and specialized visualizations (heatmaps, vorticity fields, wavefront rendering).
In ProgressEisenhower Task Manager
Web-based productivity application implementing the Eisenhower Decision Matrix for strategic prioritization. Features 4-quadrant matrix view, list visualization, Gantt timeline with history tracking, and Planning/Execution Score for measuring estimation accuracy. Multiple visualization modes enable flexible task management workflows.
In ProgressECDO Watch
Real-time geophysics monitoring system tracking Earth-system anomalies across four independent data channels: solar wind energy input (Kp index), planetary rotation rate (LOD), ground magnetic fields, and gravity harmonics. Implements falsification-first methodology with quiet-day gating and multi-channel coherence detection to distinguish signal from noise.
In ProgressSPECTRUM Market Analytics
Multi-dimensional market intelligence dashboard providing comprehensive asset analysis across stocks and cryptocurrencies. Features radar charts for fundamental/technical/sentiment analysis, price history with moving averages, sector comparisons, and ESG profiling. Visualizes complex market signals through an intuitive dark-themed interface.
In ProgressThe Cash Bubble Hypothesis
Ambitious interdisciplinary research project developing a complete mathematical theory of personal finance using fluid mechanics, thermodynamics, and control theory. Models financial accounts as interconnected reservoirs and applies signal dynamics (velocity, acceleration, jerk) as diagnostic indicators of financial stability.
In ProgressDescribing the Structure of Dynamical Systems
A unifying mathematical framework for dynamical systems. Develops the effort-flow formalism across electrical, gravitational, mechanical, and hydraulic domains, establishing that the same three passive roles — Ability, Activity, and Reality — govern energy storage, exchange, and dissipation in every physical system.
In ProgressDynamic Control of an Aeropendulum
Advanced feedback control systems research using a propeller-driven pendulum testbed. Integrating sensor fusion, real-time control algorithms, and visualization to investigate nonlinear dynamics and control synthesis in physical systems.
InitiatedInactive
Geometrical Inference
Exploring the intersection of geometry, logic, and inference. Investigating how geometric relationships and spatial reasoning can rigorously test and falsify claims about mathematical structures and underlying principles.
InitiatedManim Animations
Creating mathematical animations using Manim (Mathematical Animation Engine) to visualize and clarify complex concepts in physics, dynamical systems, and calculus. Developing visual frameworks that make mathematical structures accessible and their behavior transparent.
InitiatedHarmonic Oscillators
Comprehensive investigation of harmonic oscillator systems across multiple domains: mechanical pendulums, electrical circuits, and quantum systems. Exploring resonance, damping, and coupling phenomena.
InitiatedResonance Structures in Acoustic Systems
Theoretical and experimental study of standing waves and resonance phenomena in acoustic tubes and cavities. Connecting classical wave theory to real-world sound physics and musical acoustics.
InitiatedAxial Flux Generator Design
Engineering and optimization of axial flux permanent magnet generators for energy conversion applications. Exploring mechanical design, electromagnetic efficiency, and power output under different operating conditions.
InitiatedSolar Power System Integration
Design and implementation of a complete solar power system including panel optimization, charge management, energy storage, and load balancing. Quantifying efficiency across the entire power conversion chain.
Initiated