D09 Prime Elementology: Nuclear Prime Refactor Atlas v1.0

Introduction D09 is a structural dataset for analyzing how two nuclear configurations can be combined and refactored through the Prime-TB Cut method. Unlike the spectral approach, D09 does not start from spectral lines. It starts from nuclear counts: - **Z** = number of protons - **N** = number of neutrons - **A** = mass number, where A = Z + N The core operation is: ```text Add nuclear counts first, then prime-factorize the product. ``` For example: ```text C-12 + He-4 -> O-16 + gamma ``` is represented as: ```text C-12: Z,N,A = 6,6,12 -> 2×3 / 2×3 / 2^2×3 He-4: Z,N,A = 2,2,4 -> 2 / 2 / 2^2 O-16: Z,N,A = 8,8,16 -> 2^3 / 2^3 / 2^4 ``` This gives the central D09 interpretation: > Carbon-12 is a 2×3 frame. Helium-4 is a compact 2-lock. When they combine, the product refactors into Oxygen-16, a clean 8-8-16 closure.