The electron mass and Inversion Efficiency

RSI holds that the electron's rest mass is a toroidal resonance of the Eternal Consonance, not an arbitrary input. Adapting the toroidal geometry of the Williamson-Van der Mark model, the theory treats it as one wavelength of an inversion wave, a kinetic energy wave of the medium, locked into a 1:2 toroidal winding.

The mass is found by filtering the Planck frequency, the heartbeat of the medium, through a mechanical step-down. That Planck-scale energy must spread across the much larger electron-knot. RSI names this filter the Inversion Efficiency. It is the fine structure constant α (the 137-harmonic escapement) times the ratio of the Planck length to the knot's outer circumference, 2πrₑ, about 6.66 × 10⁻²⁴.

Applying this factor to the Planck energy gives the electron mass. Since the Planck frequency equals c divided by the Planck length, the Planck length cancels out. The paper holds that the 0.73 N tension is exactly the yield strength that keeps this 720-degree loop from unzipping.

The same mass follows directly from the loop itself. Light moving at the speed of light twice around a loop of radius r travels 4πr, so one wavelength fits when λ = 4πr. That light carries a mass of mₑ = ħ / (2rc). At a radius of about 1.93 × 10⁻¹³ m, half the electron's reduced Compton wavelength, this gives exactly 9.109 × 10⁻³¹ kg. Deriving that radius from the medium's tension alone is the framework's next open goal.