The electron's size is a resonance condition

In RSI, an electron is neither a point nor a probability cloud. It is a knot: a wave of the field twisted back on itself through 720 degrees, chasing its own tail through two full turns until its leading edge meets its trailing edge and the loop locks closed. The narrative calls it "a wave of the medium that has forgotten how to travel in a straight line."

The size of that loop is not arbitrary. RSI proposes a precise condition: the wave trapped in the knot must fit its circuit exactly. Because the winding turns through 720 degrees, the wave goes around twice before it returns, and that double circuit must equal exactly one wavelength. The wave has to fit the circuit, just as a guitar string sustains only the notes whose wavelengths fit its length.

The numbers bear out the fit. The electron's Compton wavelength, the wavelength of light whose energy equals the electron's rest mass, is 2.426 × 10⁻¹² meters. A double loop of that length has a radius of about 1.93 × 10⁻¹³ meters. A wave circling twice at that radius carries a mass of ħ / (2rc), which is exactly 9.109 × 10⁻³¹ kg, the mass of the electron. In RSI, the wave and the loop are the same length because the loop is the wave.

A larger loop would let the wave finish its cycle before closing, and the knot would not form. A smaller one would make it overshoot and unzip. The electron's size and mass are locked together: this loop can carry only this energy. Why the medium's 0.73 N tension holds the loop at exactly this radius is the framework's next open question.