In a linear system, the relationship between input and output is a straight line. Double the voltage, double the current. Triple the force, triple the displacement. Most introductory physics and electronics courses teach linear systems because the math is clean.
Non-linear systems don't follow that rule. At some point, the relationship bends, saturates, or jumps. A ferrite core magnetizes proportionally to the current — until it saturates, and then more current barely changes the magnetization at all. A gas gap conducts nothing — until the voltage crosses a threshold, and then it conducts violently. A ferroelectric capacitor stores charge predictably — until a phase transition causes its capacitance to spike.
Why it matters for Open Energy
Non-linearity is one of the three elements of the meta-pattern. 427 of the 768 analyzed patents describe a non-linear element (247 explicitly, ~180 implicitly through circuit topology).
Non-linear systems generate harmonics — frequency components that weren't present in the input signal. They can transfer energy between frequencies, create parametric amplification, and produce transient behaviors that don't appear in steady-state analysis. This is well-established physics, used routinely in laser optics, plasma physics, and RF engineering.
The open question is whether these non-linear effects, combined with resonance and pulsed excitation, can produce energy conversion efficiencies that exceed conventional predictions.
Everyday examples
- A guitar string vibrating: the string is slightly non-linear, which is why it produces overtones (harmonics) instead of a pure sine wave
- A light dimmer: the triac switch creates a non-linear current waveform, which is why dimmers sometimes make lights buzz
- Cracking your knuckles: the cavitation bubble collapse is a violently non-linear process
In the experiments
The Bifilar Coil experiment uses a ferrite core driven near saturation. The Ferroelectric Capacitor experiment directly measures the non-linear capacitance of a ferroelectric material. The Plasma Discharge experiments use gas discharge — one of the most dramatic non-linearities in nature.