The algebra–geometry dictionary — L

Hurwitz ladder; E_n = commutativity as dimension

dictionary’s letter: T

buildings, Ramanujan = tempered, Gindikin–Karpelevich

dictionary’s letter: T

monopole tower, Van Est, Eilenberg–Mac Lane, Eckmann–Hilton

dictionary’s letter: T

global rungs, Grunwald–Wang, GW ≠ Tate

the separation argument is real (§7)

audit table: L / C

dictionary’s letter: T / D

closure = totally geodesic; closure failure generates the tower; rungs trade

CASE-06 holds the trade instance

audit table: L / Def

dictionary’s letter: T / T/D

SM table

audit table: L / B

dictionary’s letter: mostly T; renormalisability = closure B

renormalisability = closure; mixed anomaly = Hochschild–Serre; ℤ₆ retrodiction

readings of theorems labelled T

audit table: L (readings)

dictionary’s letter: T, reorganized

dynamics table

Ш = topological order (D) later cut to 2-torsion in §19 — self-corrected

dictionary’s letter: T

chirality = Spin not Pin; heterotic Bianchi = rung 3

CASE-06

audit table: L (readings)

dictionary’s letter: T, reorganized

GR table

"why not the SM" (D) is a reading

dictionary’s letter: T

chaos table; Mixmaster = Gauss map, Lyapunov

audit table: L / C

dictionary’s letter: T / computed

p-adic table; Freund–Witten to 30 digits

audit table: L / C

dictionary’s letter: T / computed

closure decides isogeny

audit table: L / C (rule is a reading)

dictionary’s letter: T / computed

"phase transitions need infinite ramification — an existence criterion for universality classes"

Gefen–Mandelbrot–Aharony 1980–84, retrodicted; §43's class-vs-room reading tested by 049 (withdrawn) and 051 (sealed)

dictionary’s letter: computed

information table; trace-condition test

prediction failed, honest

audit table: L / C

dictionary’s letter: T / computed

symplectic table

audit table: L / C

dictionary’s letter: T / D by inspection / computed

Monster table; bets

audit table: L / C / honest

dictionary’s letter: T / computed / B