protocol_header_genome.md

TriadicFrameworks — Protocol Header Module#

Phase 3D — Structural Genome (Canonical)#

Overview#

The protocol header is a four‑locus structural codon:

[RTT] | [COHERENCE] | [DRIFT] | [PARADOX]

Each locus has a finite alphabet of perfect‑substitution alleles, defined in:

  • protocol_header_alleles.md (English baseline)
  • protocol_header_multilingual.md (12‑language expansion)

Phase 3D defines the genome model — the recombination rules that generate all 1,620 drift‑bounded, canon‑aligned headers across 12 languages.

1. Genome Model#

The protocol header behaves like a four‑locus genetic codon.

Each locus has a language‑specific alphabet:

RTT_L = { rtt alleles in language L }
COH_L = { coherence alleles in language L }
DRIFT_L = { drift alleles in language L }
PAR_L = { paradox alleles in language L }

A valid header in language L is:

HEADER_L = RTT_L[i] | COH_L[j] | DRIFT_L[k] | PAR_L[m]

Where:

  • i ∈ RTT_L
  • j ∈ COH_L
  • k ∈ DRIFT_L
  • m ∈ PAR_L

This is the universal recombination rule.

2. Locus Alphabets (English Baseline)#

RTT locus (5 alleles)#

rtt=1
rtt=unit
rtt=single-hop
rtt=atomic
cycle=atomic

Coherence locus (3 alleles)#

coherence=declared
coherence=explicit
coherence=stated

Drift locus (3 alleles)#

drift=bounded
drift=constrained
drift=clamped

Paradox locus (3 alleles)#

paradox=structural
paradox=encoded
paradox=architected

Total English combinations:

5 × 3 × 3 × 3 = 135

3. Multilingual Genome#

The multilingual allele alphabets are defined in:

protocol_header_multilingual.md

Each language provides:

  • RTT: 3–5 alleles
  • Coherence: 2–3 alleles
  • Drift: 2–3 alleles
  • Paradox: 2–3 alleles

Total per language:

135 structurally valid headers

Across 12 languages:

135 × 12 = 1,620 headers

All drift‑bounded.
All canon‑aligned.
All structurally equivalent.

4. Universal Genome Formula#

For any language L, the header genome is:

H_L = RTT_L × COH_L × DRIFT_L × PAR_L

Where × is the Cartesian product.

This formula generates the full header matrix in:

protocol_header_full_matrix.md

5. Structural Integrity Rules#

All recombined headers must:

  • preserve locus order
  • preserve invariant meaning
  • use only perfect‑substitution alleles
  • maintain <locus>=<allele> structure (where applicable)
  • remain drift‑bounded
  • remain canon‑aligned
  • remain operator‑grammar‑safe

These rules ensure multilingual recombination produces structurally identical headers.

6. Example Recombinations (One per Language)#

English#

rtt=atomic | coherence=explicit | drift=clamped | paradox=encoded

Mandarin Chinese#

原子 | 明示 | 有界 | 内嵌

Spanish#

atómico | explícita | acotada | codificada

Hindi#

परमाण्विक | स्पष्ट | सीमित | अंतर्निहित

Arabic#

ذري | صريح | محدود | مشفر

Bengali#

পরমাণবিক | স্পষ্ট | সীমাবদ্ধ | এনকোডেড

Portuguese#

atômico | explícita | restrito | codificado

Russian#

атомарный | явная | ограниченный | встроенный

Japanese#

原子的 | 明示的 | 有界 | 埋め込み型

Punjabi#

ਪਰਮਾਣੂ | ਸਪਸ਼ਟ | ਸੀਮਿਤ | ਕੋਡਿਤ

German#

atomar | explizit | geklemmt | kodiert

French#

atomique | explicite | bornée | encodée

All are structurally equivalent codons.

7. Role in the Module#

This genome file:

  • defines the recombination engine
  • anchors multilingual expansion
  • ensures drift‑bounded equivalence
  • feeds the full header matrix
  • supports operator‑grammar modules
  • enables protocol‑style system integration

It is the structural core of the protocol header module.

Updated