Systematic Pair-Level Campaign for δpair: Convergence, Inter-Pair Concentration, and Normalization Structure
The O-series defines a canonical pair-level capacity observable and establishes that vertical non-injectivity does not change its observable rank. The further prescription ${\beta^{*}}=1/({\delta_{\mathrm{pair}}}+\tfrac12)$, however, imports the changing-degree LPS growth equation into a fixed-degree Heisenberg cascade...