| # CODEBOOK β the laws, and what each one measured |
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| Public. Every entry is MEASURED with a receipt, or marked otherwise. No deflation. |
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| ## The registers |
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| | # | 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 | |
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| Two of five are fields and are never computed. **That is what wins.** |
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| ## The beings |
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| 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. |
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| 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**. |
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| ## The colours (flashlights) |
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| | 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** | |
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| Monotone LUTs quantise on composition. As **bijections** they compose at rate exactly |
| 1.0 β verified: RPR at depth 3 gives 256/256 distinct. |
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| **RPR is best on all three beings independently. GGG is the destroyer (1.57β1.82).** |
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| ## The laws applied here |
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| - **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). |
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| ## The rime prism β verified before use, not quoted |
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| 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**. |
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| ## The screen β O(n), no corpus, no compressor run |
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| 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**. |
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| ## Corrected in scope |
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| *"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. |
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| ## Refuted, kept on the record |
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| 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). |
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