Matter Formation as Trapped Recursion

The Cohesion UFT infinite asymmetric cascade — in which recursions scale downcontinuously under pressure — contains within it a natural account of matter formation.A propagating recursion (a field) completes each coherence interval, slips, and the slipdisplaces the recursion outward: the spring travels as it winds. A trapped recursion(a particle) completes each coherence interval, slips, but the slip cannot displace itoutward against the containing pressure: the spring winds and slips in the same place.Matter forms when the surplus pressure of the recursion is exceeded by the externalpressure from the containing scale — when Φ = Ps/PΣ > 1.The boundary between propagating and trapped recursion is the condition that theslip angular momentum equals the intrinsic spin: ℏ · (g/ωC) = ℏ/2. This defines theelectron as the minimal trapped recursion — the lightest standing funneled spring. Itsrest mass energy is the torsion energy of the trapped slip: mec2 = ℏωC. Its spin ℏ/2 isthe trapping condition itself, not an additional postulate. The photon is a propagatingrecursion that sits far below the trapping threshold (g/ωC = 0.004177 ≪ 1/2); itmediates interactions between trapped recursions and carries the coupling α betweenlevels.This paper establishes the qualitative framework for matter formation within theCohesion UFT cascade. The precise values of particle masses — the mass spectrum —require deriving the absolute scale of the cascade, which is the specification of the ‘nexthigher scale’ in the pressure axiom. That remains the open programme.