A-001the word "duality" — two objects plus an impostorword 2026-09-13 A-002the word "fixed point" — three questions about one objectword 2026-09-13 A-003the word "local" — two Fourier-dual sensesword 2026-09-13 A-004the word "spectrum" — three faces unified by theorems, plus a borrowed nameword 2026-09-13 A-005the word "symmetry" — one notion plus a redundancy, a type error, and a modifier axisword 2026-09-13 A-006the word "closure" — four notions, with the foundational rung misnamedword 2026-09-13 A-007the word "dimension" — three notions agreeing by theorem on classical objectsword 2026-09-13 A-008the word "trace" — one notion, one impostor, one theorem shape, one hypothesisword 2026-09-13 A-009Poisson summation — collision — five separate "bridges" in the dictionary are one theoreminstrument 2026-09-13 A-010Fourier duality; spectral gap — Fourier — three mentions, placed zero times; spectral gap — ten mentions, one table row, Cheeger zero times; both load-bearing, both unexaminedinstrument 2026-09-13 A-011Lieb-Thirring kinetic-energy inequality — no collision; one unstated precondition; exponent forced, prefactor notinstrument 2026-09-13 generated 2026-10-25nothing on this page is maintained by hand