SGI · SIG-NmNN · Research

The breathing neuron. Activation regions that grow with their input.

SIG-NmNN — Spike-Intensity Growth Non-Monotonic Neural Networks: a framework where neuronal activation regions dynamically expand based on accumulated spike intensity. Neurons breathe with their input — contracting during low activity, expanding during high activity — and naturally produce fractal structures through power-law scaling when nested hierarchically.

Experiment 1 · The breathing neuron

INTENSITY: 0.00
GROWTH: 1.00x
STATE: RESTED

The blue torus is the activation volume; the sphere is the input. Watch the torus expand as intensity builds. The input glows green when inside the volume and red when outside.

Experiment 2 · Stability dynamics

Comparison of integration dynamics with discrete time step Δt = 0.1 (stable) vs Δt = 2.1 (unstable), under constant input 1.0.

Stable (Δt = 0.1) Unstable (Δt = 2.1)