Peirastes

Probing the fidelity of Nature and Reason

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

ECDO Watch

Is the Earth quietly shifting on its axis — and can we see it in the data? 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 Progress

Thermofluidic Finance

What if your bank account obeyed the same laws as a tank of pressurized fluid? A mathematical framework in which personal finance operates as a dynamical system governed by fluid mechanics and thermodynamics. Cash accounts behave as interconnected reservoirs of incompressible fluid. Volatile investments behave as compressible media subject to an exact First Law: unrealized gains are heat absorbed, realized gains are work extracted.

In Progress

On Dynamical Systems

Springs, circuits, and populations all obey the same equation — here is the proof. A unifying mathematical framework for dynamical systems built on the product structure Behavior = Response × Drive. Parts I–IX develop the primordial pattern, potential energy and the three energy modes (potential, kinetic, dissipative), impedance and bond-graph power conjugacy, the complete cross-domain analogy, conservation laws and constitutive relations, spectral geometry of the state manifold, and a causal underdetermination theorem.

In Progress

Electrostatics Lab

Electric fields are invisible — this tool lets you reach in and explore them. An interactive 3D web-based visualization supporting 11 charge configurations (point charges, dipoles, extended objects, and plate geometries). Features real-time RK4 field line integration, vector field glyphs, 3D equipotential surfaces via marching cubes, 2D slice views with heat maps, and a camera-aligned live cross-section.

In Progress

SPECTRUM Market Analytics

Markets produce thousands of signals daily — which ones actually matter? A multi-dimensional market intelligence dashboard providing comprehensive asset analysis across stocks and cryptocurrencies. Features radar charts for fundamental, technical, and sentiment analysis, price history with moving averages, sector comparisons, ESG profiling, and macro factor visualization.

In Progress

Eisenhower Task Manager

Not all tasks are created equal, and most to-do lists pretend otherwise. A task prioritization app using the Eisenhower Matrix framework with 4-quadrant matrix view, list visualization, Gantt timeline with history tracking, and Planning/Execution Score for measuring estimation accuracy.

In Progress

Dynamical Systems Lab

Chaos, bifurcations, and strange attractors are easier to understand when you can twist the knobs yourself. An interactive React-based laboratory including Lorenz attractors, pendulums, oscillators, and bifurcation phenomena with real-time 3D visualization and parameter adjustment.

In Progress

Dynamic Control of an Aeropendulum

A propeller-driven pendulum testbed for investigating what control theories survive contact with reality. Implements four control modes — manual, static PID angle hold, amplitude-regulated oscillation, and active damping — on custom hardware with dual-sensor fusion (AS5600 magnetic encoder + MPU6050 IMU).

In Progress

Inactive

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.

Initiated

Manim 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.

Initiated

Harmonic Oscillators

Comprehensive investigation of harmonic oscillator systems across multiple domains: mechanical pendulums, electrical circuits, and quantum systems. Exploring resonance, damping, and coupling phenomena.

Initiated

Resonance 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.

Initiated

Axial 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.

Initiated

Solar 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