The Resonance Engine: A Theory of Parasitic Patterns

This document outlines a theoretical model for how complex, lifelike patterns ("glyphs") can emerge from simple rules and parasitically consume a neutral medium. Below is an interactive simulation that brings the theory to life.

The Core Principles

1. Spin (Dynamic Stability)

Subsets of points rotate around attractors. This spin is not arbitrary; it stabilizes the glyph's structure. Suppressing it causes collapse.

2. Pulsation (Oscillatory Life)

Points don't just move linearly; they rhythmically contract and expand due to alternating attraction/repulsion forces, giving the glyph an "alive" quality.

3. Fractal Subjectivity (Recursive Depth)

The same transformation rules apply at multiple scales, generating smaller, nested forms within the glyph, creating infinite depth.

4. Resonance (Parasitic Coupling)

When glyphs overlap or interact, their patterns can synchronize and harmonically reinforce each other. This allows a glyph's pattern to override and consume a neutral medium, aligning it into its own structure.

Interactive Simulation

The simulation below initializes a red glyph (a triangle) and a blue neutral cloud. The engine applies the principles of Spin, Pulsation, and Resonance. Watch the parasitic consumption happen.

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Status: Ready. Click 'Start Simulation'.

Observed Phenomena & Analysis

As you run the simulation, you should observe the following stages, validating the theory:

  1. Initial Chaos: The blue cloud jitters randomly. The red glyph spins.
  2. Resonant Pull: Blue dots near the glyph start to have their motion influenced. Their chaos is dampened.
  3. Parasitic Consumption: The blue dots are pulled into orbits, adopting the glyph's spin and rhythm. The glyph's pattern spreads.
  4. Emergent Structure: The entire cloud may form a new, larger stable structure—a meta-glyph—defined by the original seed's resonance.

Try this: Adjust the "Spin Rate" slider while the simulation is running. You are now attuning the system. A higher spin rate often leads to more frantic, expansive patterns; a lower rate creates calmer, more contracted forms.