Stephen Steiner

Prime-Pattern Rank Rays in the 6-Wheel II / Finite State Bodies, LPF-Carrier Horizons, and Residual All-Prime Purity

Prime-Pattern Rank Rays in the 6-Wheel II develops an exact finite State-body framework for fixed admissible even prime patterns, without assuming that the pattern occurs infinitely often. It embeds the PPRR-I All-Prime event leaf in the complete {P,C}ν{P,C}ν State space and esta...

Prime-Pattern Rank Rays in the 6-Wheel I / Order-Normalized Rank Rays, Quantitative Prime-Index Stencils, and Critical Pattern Order

Prime-Pattern Rank Rays in the 6-Wheel I develops a common rank-coordinate framework for fixed admissible prime patterns. Each existing pattern occurrence is embedded into a global prime-index axis, where its prescribed components form a bounded prime-index stencil. The paper pro...