Nonredundant fold strata

The four non-ω rays are not arbitrary names, and their indices are not introduced as pre-given primes. Their canonical roles are fixed at the fold level: α supplies direct counting, π the future multiplicity spine, γ the future exponent channel, η the future tetration channel, and ω the fixed-point absorber and closure beacon. The fold-chain principle then orders the operations: progression-depth supplies counting; addition is recovered over progression-depth; multiplication, exponentiation, and tetration are successive finite folds; and the ladder saturates at the η-level, with no fourth finite fold admitted as a canonical new address layer. Primality is still unavailable here: only after multiplication and divisibility are earned does the internal prime enumeration identify the scalar prime-readout sequence 2,3,5, rather than import it. Prime-addressability is therefore earned by fold structure, while ω remains the global iteration boundary: ρ(ω)=ω and ρ^n(g)≠ω for non-ω generators.