Falstad Circuit Simulator ((full)) Online

The void of the canvas—a perfect, zero-dimensional grid of infinite potential—suddenly had rules. Nodes were defined. A sea of color rippled out from the positive terminal. Red for potential, blue for ground. The single resistor, R1, a 1k-ohm cylinder of digital graphite, braced itself.

The universe had found a contradiction it could not resolve. A division by zero inside the diode's exponential model. The electron—that perfect integer—had been asked to split itself. To be both here and there. To carry two voltages at once.

Mira zoomed in. She saw it: a single, flickering number next to the problem node. V = NaN . Not a Number.

Then, Mira did the wise thing. She stopped the simulation. She deleted the offending wire. She replaced the diode with a resistor. The NaN vanished. The red and blue heatmaps stabilized. The 555 resumed its clean, 1 kHz square wave.

Mira ignored it. She pressed "Simulate" again.

Mira smiled. She added an LED.

The electron reached the resistor. In the real world, this would be chaos—phonons, thermal noise, quantum tunneling. But here, it was elegant. A simple multiplication: V = I*R. The resistor glowed faintly amber, dissipating a perfect 25 milliwatts of heat into a thermal sink that didn't exist. The electron emerged, docile and diminished in potential, and flowed to ground.