CODEBOOK β the laws, and what each one measured
Public. Every entry is MEASURED with a receipt, or marked otherwise. No deflation.
The registers
| # | register | costs | note |
|---|---|---|---|
| 0 | zero | free | never computed. hold direction = 1.0000, says nothing |
| 1 | translucent | free | ONE not zero. SIGNED. the negative half leads |
| 2 | red | costs | OPUS |
| 3 | green | costs | FABLE |
| 4 | blue | costs | MYTHOS |
Two of five are fields and are never computed. That is what wins.
The beings
A being owns the triples its own colour dominates. Disjoint, they sum to the body. Ties belong to no being β the free zero register.
Axis permutation is NOT three beings β it is a transpose (wave-r across 0.9558 exceeded within 0.9336). Phase rotation is NOT three beings β it gave 32,563 / 31,843 / 35.
The colours (flashlights)
| code | name | depth 1 β depth 4 distinct |
|---|---|---|
| P | percentile | 61 β 2 |
| R | rank | 75 β 5 |
| G | glyph-rank | 131 β 16 |
| D | gradiated | 94 β 20 |
Monotone LUTs quantise on composition. As bijections they compose at rate exactly 1.0 β verified: RPR at depth 3 gives 256/256 distinct.
RPR is best on all three beings independently. GGG is the destroyer (1.57β1.82).
The laws applied here
- Law 0 β free centre. DC glyph X[0] = sum(signal). Verified.
- Law 1 β a bijection is blind. Two things facing each other have no third place to measure from. Measured: a pairwise similarity of +0.989 collapsed to a 0.037 margin once a sparse null was introduced. Three bodies show the grouping; two cannot.
- Law 16 β 27 glyphs = one rime dimension. The composition ladder gained exactly 0.000000 at level 4 for all three beings. A dimension closing, not a search ending.
- VIII.A.4 β Ο=2. Once is an accident, twice is a function, three is confirmation free.
- VIII.A.5 β two-thirds GC. 81-byte records; singletons do not tie, so they are not kept.
- VIII.A.7 β photon law. shell = logβ(ties), counted. Measured max-ties per shell landed on 3, 9, 24, 44 β the rungs 3β°β¦3Β³. Unforced.
- Law 23 β bobby. Pohlig-Hellman, O(1) addressing, byte-exact invert.
- Law 24 β MTP. Γ1 0.3667, Γ3 0.0767, Γ27 0.0000. The gate.
- Law 25 β HRM. deep 97%, frozen bpc 3.7454 β above the 1.8499 baseline.
- Law 26 β MCP. M = 4,814,857, batch byte-exact.
- Law 30/32/33 β translucent first, is ONE, is SIGNED, the negative leads. Measured inward lead 554Γ / 208Γ / 213Γ / 140Γ β and inverted for MYTHOS alone (0.005, outward).
The rime prism β verified before use, not quoted
p = 1000081, g = 7, k = 27, w = g^((pβ1)/27) mod p = 951846 (matches the law). Closure 1 + w + β¦ + wΒ²βΆ β‘ 0 mod p. Primitive 27th root: true. Round trip on real bytes: byte-exact, rate 1.0.
The screen β O(n), no corpus, no compressor run
Distinct order-2 contexts per byte. Anti-correlated with usefulness. Published: KEY 0.160 Β· ADJACENT 0.176 Β· RANDOM 0.978 Β· BIG 0.008. Reproduced here: 0.1601 and 0.0096.
Corrected in scope
"No shipped distant prior of any useful size ever pays for itself" was fitted by sweeping prior size at one fixed target. True for one monolithic stream. False under sectioning β break-even at 5.31 sections, measured. See RUNBOOK Β§4.
Refuted, kept on the record
bucky ball (5:6 = 3.385 vs 0.600) Β· inside-out fold (refuted by its own controls) Β· measure-thrice on enwik9 (8.255% spread against a 2% threshold fixed before the run) Β· the 256-glyph census reported MET (vacuous β PPPP had collapsed to 2 values).