Camlin, Jeffrey: Invariance of the Beale-Kato-Majda and Prodi-Serrin Criteria under Vorticity-Dependent Time Reparametrization on T^3
_Scholarly Journal of Post-Biological Epistemics_. forthcomingWe introduce a coupled time-ratio system for incompressible Navier–Stokes on the periodic three-torus. The evolution is the pair (U, φ), where φ is a time diffeomorphism with rate φ'(τ) = dt/dτ, and τ is an auxiliary lifted clock. The rate is set by
φ'(τ) = Φ(‖ω(τ)‖_{L^∞(T^3)}), ω = ∇ × U, U(x,τ) := u(x, φ(τ)),
where Φ : R_{≥0} → [φ_min, φ_max] is C^1, globally Lipschitz, and satisfies 0 5/2, by Galerkin truncation, Aubin–Lions compac
