Key Register · Book XIV — Principia Orthogona

Each entry follows Chapter 3's template. The head sense comes first. Glosses that pages join count as one sense. A gloss that belongs to another chain is marked as such. Under each entry, the fillers show what the key becomes in each domain, each one linked to the page that says it.

key C

C — head sense: compression

1 sense(s) by Book XIV ch 3’s rule.

gloss	pages	sense	key set
compression	64	head	dm³ chain (C→K→F→U)
contact	17	same sense as compression	dm³ chain (C→K→F→U)

C = compression: fillers by domain

biology: Leite inoculado com cultura iniciadora: a condição inicial, uma população-semente sob pressão seletiva; A cultura inoculante; Hyphal Tip Growth A hypha grows exclusively at its tip; C Allostatic Load A note on “orthogenesis” The word has a history (+1)
computing: inicial; A condição inicial; The initial condition; instrução (+1)
earth: Fire injects smoke at high altitude (pirocumulus convection
education: Find what is compressed; Take the visual input (the letters, the words) and reduce it to essential meaning; What is the background? What is already known?; The cell cannot process the full complexity of environmental input continuously
linguistics: of an unbounded phenomenon
mathematics: maps (r₀, z₀) to the deviation u = r − 1; The grading operator $L_0 - c/24$ compresses the VOA into energy sectors $V^\natural_n$; Projects onto a lower-dimensional submanifold Xc⊂X, bi-Lipschitz with constant δ>0; do? Complete this sentence: "C reduces the system's _____ while retaining its _____." Use 1–2 sentences (+9)
philosophy: corresponds to the phenomenological reduction in Husserl's sense; of the three-dimensional resonant system onto the dominant modal frequencies), K (the cur
physics: O campo magnético externo $B$ comprime os momentos atômicos; The external magnetic field $B$ compresses atomic moments; A relação relativista $E^2 = p^2c^2 + m^2c^4$ comprime a física de partículas livre em uma semente escalar; The relativistic relation $E^2 = p^2c^2 + m^2c^4$ compresses free-particle physics into a scalar seed (+14)
series apparatus: First Contact You are at the seed; uses variables to describe one rule that applies to many things K (Threshold) uses equal; Age: 11 Distance to x*; The Hidden Generator The compact rule that produces all surface forms
untagged: the substrate; K=open brain F=proof from The Book U=theorem Chapters; Seed encoding Genome, codon sequence, photon mode Compress: d_I ≪ d_O; operator (+7)

C = contact: fillers by domain

key K

K — head sense: threshold

1 sense(s) by Book XIV ch 3’s rule.

gloss	pages	sense	key set
threshold	51	head	dm³ chain (C→K→F→U)
curvature	26	same sense as threshold	dm³ chain (C→K→F→U)
gate	12	same sense as threshold	dm³ chain (C→K→F→U)

K = threshold: fillers by domain

K = curvature: fillers by domain

K = gate: fillers by domain

key F

F — head sense: fold

1 sense(s) by Book XIV ch 3’s rule.

gloss	pages	sense	key set
fold	86	head	dm³ chain (C→K→F→U)

F = fold: fillers by domain

key U

U — head sense: unfolding

3 sense(s) by Book XIV ch 3’s rule.

gloss	pages	sense	key set
unfolding	68	head	dm³ chain (C→K→F→U)
universal	3	same sense as unfolding	dm³ chain (C→K→F→U)
union	10	separate sense	Omega chain (G–L–R–U)
unification	3	separate sense	dm³ chain (C→K→F→U)

U = unfolding: fillers by domain

U = universal: fillers by domain

mathematics: the same structure at every scale; operator that selects which of the infinite possible compressions this particular system; operator that selects the pattern
series apparatus: The Scale-Invariance The same structure at every scale

U = union: fillers by domain

U = unification: fillers by domain

How to read the fillersA filler is the text that follows the gloss on a page, cut at the next sentence mark or key, so some are fragments. The domain is the page's subject tag; untagged pages are listed last. A filler shows usage and does not verify it.