cka-null-baseline-scales-as-o-d-over-n

OUT premise — summaries/2026/08/24/aristotelian-2026-s4-theoretical-motivation-spurious-alignment.md

Created 2026-08-24T17:10:50+00:00

Under the null hypothesis of independence, the CKA similarity baseline scales as O(d/n), meaning the null interaction energy E[‖Ĉ‖²_F] = d_x·d_y/(n−1) is non-zero in high-dimensional regimes even when two representations are truly independent.