Quantized proton versus quantized electron in TOTU

Both particles are treated as quantized, but the nature of the quantization is different and the roles they play are complementary.

The proton

The proton is a topological quantum.
Its fundamental description is a stable superfluid vortex (Hopfion) in the aether lattice with winding number
$$ Q = 4. $$ The circulation condition with speed (c) immediately fixes its radius: $$ r_p = \frac{4\hbar}{m_p c} \approx 0.841,\text{fm}. $$ Because the mass-radius product is proportional to the topological charge, $$ M_p r_p \propto 4, $$ the proton is the lightest stable baryonic object. The $(\phi)$-resolvent then guarantees that this topological charge survives for eons.

The electron

The electron is a wave-function quantum.
Its quantization is the ordinary Schrödinger quantization that produces the Bohr radius $$ a_0 = \frac{4\pi\epsilon_0\hbar^2}{m_e e^2} \approx 0.529,\text{Å} $$ and the Rydberg spectrum. In the TOTU treatment the electron is solved independently (separate BVP at 0 K). Its characteristic radius $(R_e)$ is the scale that appears in that solution (tied directly to $(a_0)$).

The single link that unifies them

The two quantizations are joined by one equality: $$ M_p r_p = M_e R_e. $$ This is the statement that their mass-radius products (or angular momenta) balance. Once the equality is imposed, the observed proton-to-electron mass ratio follows at once from the geometric proton radius and the Bohr-scale electron radius. No reduced-mass approximation is required.

Summary contrast

Feature	Proton	Electron
Type of quantization	Topological (Q = 4 vortex)	Wave-mechanical (Bohr / Schrödinger)
Characteristic radius	$(r_p = 4\hbar/(m_p c))$	Bohr radius $(a_0)$ (or $(R_e)$)
Stability	Eonic (via $(\phi)$-resolvent)	Ordinary leptonic + atomic
Role	Stable topological anchor	Light partner fixed by product equality

The proton supplies the topological unit; the electron supplies the familiar atomic scale. The product equality is the bridge that lets the two quantizations speak to each other and yield the mass ratio. That is the simple, symmetric picture TOTU uses.