Research Dispatch

Cipher-418 #5

Fibonacci positions, stride-4 validation, and 156 Monte Carlo tests.

March 07, 2026

245 Findings

156 MC Validated

154 Significant

530 Top Score

English Qaballa — Solution 34

Derived from Liber AL II:76.
Step of 11 (mod 26) through the alphabet. Elevated values at F, O, P, Q, R, X.

A=1	B=2	C=20	D=3	E=4	F=80	G=7	H=6	I=10
J=10	K=20	L=30	M=40	N=50	O=70	P=80	Q=100	R=200
S=60	T=8	U=6	V=6	W=6	X=300	Y=10	Z=7

New Discoveries

p=.0009

Non-Fibonacci Positions = 1023 = 93 × 11 = THELEMA × MAGICK
★★★

Permutation p=0.00091, Random EQ p=0.00243 — Doubly confirmed

The 21 cipher elements not at Fibonacci positions (1, 2, 3, 5, 8, 13, 21) sum to exactly 1023 = 93 × 11. The Fibonacci sequence acts as a mathematical sieve, cleanly separating THELEMA × MAGICK from the remaining 7 elements (sum = 256 = 2⁸). Both the arrangement of values and the EQ system itself carry signal.

p=.0002

Stride-4: Group 0 = 7×47, Group 1 = 5×93 — Simultaneously
★★★

Permutation p=0.00023, Random EQ p=0.00027 — Doubly confirmed

Interleaving the 28 cipher elements at stride 4 produces four groups. Group 0 sums to 329 = 7 × 47 (septenary × VALUE). Group 1 sums to 465 = 5 × 93 (pentagram × THELEMA). Group 2 = 338 = 26 × 13 (alphabet × UNITY). Three of four groups encode key divisors — a ~1-in-4,000 coincidence under both tests.

Golden Ratio (Beatty Sequence) Positions Hit Targets
★★

Perm p=0.0034, EQ p=0.021

Elements at ⌊n×φ⌋ positions (the Beatty sequence of the golden ratio) sum to a target-hitting value. The golden section of the cipher falls at position 17 — element Y (=10 = Yod) — the exact boundary between the two manuscript lines of the cipher.

6 Verses Divisible by 93 (THELEMA) — 2.5× Expected
★

Random EQ p=0.035

Under Solution 34, six Liber AL verses have word-sum totals divisible by 93, against an expected rate of ~2.4. Notable: II:28 “I am the secret Serpent” = 930 = 10 × 93.

Research Dashboard

Significance vs. Score

Each dot is a MC-validated finding. Further right = more statistically significant. Red dashed line marks p=0.05.

p-Value Distribution

How many validated findings fall in each significance band.

Category Signal Density

Average score weighted by MC validation rate. (f = findings, mc = Monte Carlo validated)

Discovery Rate

Cumulative findings across analysis sessions.

Four Worlds Distribution

Findings mapped to Atziluth (mathematical), Briah (semantic), Yetzirah (visual), Assiah (historical).

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93 93/93


Analysis engine: cipher_scoreboard.py + Monte Carlo battery (100k trials per test, permutation + random EQ)


Sacrarium Serpentis Stellae • Cipher-418 Research Programme