4:09

3:13

3:59

2:44

f_sonic(n) = f(n) × Ω_loop(n) => 1-cycle resolved in harmonic orbit
2:08

4:00

[u_sonic(t) = u(t) × Ψ_flow(t) => smooth state proven across all t]
3:21

4:00

[G_sonic(m) = 2m × Γ_prime(m) => prime-dual intervals unify for every even integer]