fv-cyclic-impossibility-proof

OUT premise — summaries/2026/08/24/todd-2023-function-vectors-s2-function-vector-causal-effects-cannot-be-recovered-from-the-.md

Created 2026-08-25T02:58:41+00:00

No non-zero constant vector offset can implement a cyclic mapping because w + v = w' and w' + v = w algebraically forces v = 0 and w = w', yet a single FV does produce cyclic behavior (e.g., antonym lookup).