The energy of inversion

In standard physics, E = mc² states that mass and energy are equivalent. RSI treats the equation as more than an abstract identity. In this account, it measures the physical work needed to hold a topological knot together against the universal tension of the Eternal Consonance.

To find that tension, the theory turns to the electron, the ground-state harmonic of the field. It models the electron as a topological soliton, a stable self-contained knot in a field. It then applies the Faddeev-Bogomolny energy bound. This bound says that the energy of such a knot is proportional to the field's tension and to the radius of its winding.

RSI then accounts for the electron's specific shape: a 720-degree (4π radians) phase-locked toroidal winding. Because the tension acts along the whole looped thread, integrating over this geometry gives a multiplier of 4π². The electron's rest energy therefore equals the tension times 4π² times the classical electron radius.