A Bell curve generated by exact integer arithmetic on
coprime torsion carriers. Every state visited once.
Full closure. The shape emerges from structural order alone.
Choose carriers:
Choose carriers above to begin
Speed:
Coprime torsion carriers advance through modular
arithmetic step by step. At each step the deficit (total distance
from origin across all carriers) is measured and tallied. When the
carriers are coprime, the orbit closes exactly at their product —
every possible state visited once.
The histogram is an exact reciprocal palindrome.
For every deficit d and its mirror d', the ratio of their counts
is the exact reciprocal of the mirror ratio. The extremal ratio
is 1/2k where k is the number of carriers.
The Bell shape is structural. It emerges from the
geometry of coprime torsion carriers traversing their full orbit
space. When carriers share a common factor, the orbit fragments.
Closure fails. The palindrome breaks. The Bell dissolves.
Algebra: RPA-8 partition chain
Part of the RPA-8 Homomorphic Witness Suite.
All arithmetic exact. All results reproducible.