Lemma 3: Dynamic Maintenance

Claim: the bound state continuously sustains itself against substrate leakage at rate α_em across all 21 channels, contributing α_em × 21 to the mass ratio.

The integer 1836 is the static geometry — the resistance of the structure at rest. But the proton is not static internally. Three quarks must continuously exchange gluons, maintain confinement, and sustain the bound state.

This requires ongoing coupling to the substrate.

Why α_em, not α_s? The strong coupling α_s describes how quarks interact WITH EACH OTHER inside the proton. The dynamic maintenance cost is something different: it is the proton’s coupling to the SUBSTRATE.

The proton sustains itself against the substrate’s leakage — against the tendency of the break to heal. The substrate’s leakage rate is α_em (AP06: the leakage constant).

All other coupling constants (α_s, α_G) are derived from α_em through the channel geometry. The proton does not maintain itself against the strong force — it IS a strong-force object.

It maintains itself against the substrate trying to close the break. The substrate speaks at α_em.

The coupling must span all 21 channels because the proton integrates all 21 (Layer 1). Each channel contributes α_em to the total dynamic coupling. The dynamic maintenance term is therefore α_em × 21 = 0.15324.