23.3A Canonical purificatory-generative zig-zag rule

For Hyperfunction, every newly added negative Infrafunction coordinate -I_n is simultaneously purificatory and generative. Purificatory means that it increases negative-dimensional separation from the corresponding recursively richer Infrafunction state. Generative means that, because -I_n is a genuinely new typed coordinate, it contributes new interaction terms and thereby adds new emergent dimensionality to the expanded Hyperfunctional state.

Z_n=-I_n => purification Pi_n + generative emergence Gamma_n