Prime Polarity

Overview

The Prime Polarity Theorem (I.T05) proves that every internal prime carries a canonical bipolar structure: B-dominant (gamma-polar) or C-dominant (eta-polar), with both classes infinite. This purely number-theoretic result produces the algebraic lemniscate $L=S^1\vee S^1$ — geometry earned from arithmetic alone. The lemniscate becomes the boundary of the entire framework’s geometric structure.

Result Statement

Every prime is B-dominant or C-dominant; the lemniscate is earned. Status: Resolved (established, machine-checked).