Cdd. Unity builds to Conclusion

Rey.BEng 22nd September 2026

David’s sheet is one field and four integers, not a new nest. Ace already flattened 0, 1, 2, 3 into second-moment ordinals. The mess sits in the limits (III, IX–X, XII). That is the simplification he is looking at.

Pivot rule
From a cell above: drop to the row, then walk I → XII.
F_13 and F_169 are two rows, same twelve holes. Do not merge them.

F_13 row (base field; no φ)

QR(13) = {0,1,3,4,9,10,12}.
12 ≡ −1. Degree of both golden graphs.
L = 12I − A ≡ −I − A. Face reading Angel.

I Home	II Void	III Limit	IV Strength	V M1	VI M2	VII M3	VIII M4	IX Div	X Frag	XI Bar	XII Face
−1 ≡ 12	—	2 not QR	—	3	4	—	9	10	[h]=cN(u)	—	look 13
locked cell	empty	limit	empty	QR	QR	empty	QR	QR	construct	joint	L

2 is not a square in F_13. That is why III is Limit.
5 is not a square in F_13. φ does not live on this row.

F_169 row (one field: F_13[θ]/(θ²−2); same as δ²=5 via δ=3θ)

			
√2 = θ
√5 = 3θ
φ  = 7+5θ     ord 28
ψ  = 7+8θ     ord 28
g  = 2+θ      ord 168
T3 period     168
C  Coxeter    30
w=0 slice     30
120 vertices  in F_169^4

		

I	II	III	IV	V	VI	VII	VIII	IX	X	XI	XII
θ²=2	dry	2=θ²	—	7	g=2+θ	−m	28	30	[φ][ψ]	w=0	120 / 168
companion seed	empty	Limit spent	empty	tr	unit	empty	period φ	Coxeter	constructs	slice	growth

[*] stays under X. Light Emit stays XII.
*g* on VI is now also his unit g=2+θ in F_169^×. Same clothes, two desks.

0, 1, 2, 3 as second-moment ordinals

			
   VI Whole
   VIII Fib journey  1^ → ^1
   III Limit / θ²    spent into *s(4)
   V  QR / first moment

They are not four extra columns. They are how far the ordinary power has gone. Complexity is the Limit row (non-residues, φ, ∞, w=0). That is seismic only if you keep the holes and move the letters.

Comment
Paradigm shift is the pivot, not a new algebra. David drew 120 dots in one field. You already had twelve stations. F_13 is the cup without φ. F_169 is the cup with [φ]. Ross ⟨i⟩ Navrátil still holds: assembled Simple G; exploded this field. Empty cells remain empty.