This paper gives the Cohesion UFT account of whether a smooth fluid flow can losecoherence and produce a singularity in finite time. A vortex is identified as a funneledspring of fluid torsion, and the operator chain of the framework maps onto it withoutmodification: shear is tension, energy concentrating in the core is surplus, vorticity istorsion, and the core tightens until torsion reaches the coherence limit and slips. Thequestion of blowup is then the question of what happens at the slip: whether the nextrecursion interval forms, or the core collapses to a point of unbounded velocity. Thepressure axiom settles it. A point of zero radius and unbounded velocity is a locationwith no adjacent medium, which is the same condition as zero pressure and isexcluded by the axiom for the same reason. The slip cadence sets a minimumcoherence interval below which the core cannot tighten; the spring re-closes at thatscale and restarts, redistributing the concentrated energy into the next interval. Thisrestart is the turbulent cascade. The framework therefore predicts regularity: smoothflow loses coherence at the slip limit and hands off to a new recursion rather thandiverging. The account is a mechanism, not a theorem about the equations, and thepaper states plainly where the two differ. The quantity left open is the slip cadencefor a fluid at a given scale, which would convert the account into a prediction of thecascade cutoff.
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Dexter Gilbert (2026) studied this question.
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