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Phase Color Map - Deterministic Visual Navigation

Generated with Gay.jl deterministic coloring (seed-based, reproducible)


The Seven Phases (Colored)

Phase A.0: Operational Validation

Color: #CA3E0E (Deep Orange)

  • Weeks 1-2
  • Diagnose root cause
  • Apply fix strategies
  • Verify 315-skill installation
  • Establish baselines

Phase A.1: Bridge Type Formalization

Color: #97B2DD (Soft Blue)

  • Weeks 3-4
  • Define proof-of-frog
  • Formalize mechanisms
  • Prove composition
  • Lean 4 theorems

Phase A.2: Ecosystem Proof

Color: #186FA5 (Deep Blue)

  • Weeks 5-6
  • Prove 315-skill graph satisfies Bridge Type
  • Prove GF(3) conservation maintained
  • Prove neighbor awareness
  • Global coherence theorem

Phase A.3: Mechanism Instantiation

Color: #89E2E1 (Cyan)

  • Weeks 5-6 (parallel with A.2)
  • Formalize Valve mechanism
  • Formalize Filter mechanism
  • Formalize Resurrector mechanism
  • Prove composition into single Bridge Type

Phase B: Music-Topos Instantiation

Color: #8CD023 (Lime Green)

  • Weeks 7-9
  • Harmonic oscillation (BZ-like)
  • Voice leading gradient (SPH)
  • Modal interchange proof
  • Harmonic domain instantiation

Phase C: Emmy-SICM Instantiation

Color: #F87AD5 (Magenta)

  • Weeks 10-12
  • Hamiltonian limit cycle
  • Phase space gradient
  • Constraint recovery proof
  • Mechanical domain instantiation

Phase D: Federation Deployment

Color: #D778F4 (Purple)

  • Weeks 13-14
  • UNWORLD triadic agents
  • Interaction-time verification
  • Self-learning from proofs
  • Complete federation

Visual Timeline

Week 1   2   3   4   5   6   7   8   9  10  11  12  13  14
────────────────────────────────────────────────────────────

A.0  β–ˆβ–ˆ                                                      Operational
     #CA3E0E

     β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                                                  Formalization
        A.1 β–ˆβ–ˆ
        #97B2DD

        β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                                         Proof
           A.2 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ
           #186FA5

           A.3 β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                                        Mechanisms
           #89E2E1

              Phase B β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                             Music-Topos
              #8CD023

                     Phase C β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                    Emmy-SICM
                     #F87AD5

                            Phase D β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ                   Federation
                            #D778F4

Color Psychology in Phase Context

Phase Color Meaning Why
A.0 🟠 Orange Caution/Action Fixing operational issues requires attention
A.1 πŸ”΅ Blue Calm/Logic Mathematical formalization, rigor, proof
A.2 πŸ”΅ Deep Blue Stability/Trust Global coherence theorem, system-wide guarantee
A.3 πŸ”· Cyan Clarity/Structure Formalizing three clear mechanisms
B 🟒 Green Growth/Life Music grows in tones, voices, harmonies
C 🟣 Magenta Transformation Mechanics transform energy/state
D 🟣 Purple Completion/Wisdom Full federation, integrated system

GF(3) Trit Coloring (Optional Secondary Mapping)

If we want to map to GF(3) ternary balance:

PLUS (+1) Phases: A.0, A.1, B

  • Generative/exploratory work
  • Adding new formalization, instantiations

ERGODIC (0) Phases: A.2, A.3, D

  • Coordinating/balancing work
  • Proving composition, integration

MINUS (-1) Phases: C

  • Constraining/constraining work
  • Mechanical constraints, energy conservation

Balance: 3 PLUS + 3 ERGODIC + 1 MINUS = (3 + 0 - 1) mod 3 = 2 mod 3 (Could rebalance by adding another MINUS phase or redistributing)


Usage

Use these colors in:

  • Documentation headers
  • Timeline visualizations
  • Phase navigation UI
  • Status dashboards
  • Git commit tagging
  • Phase-specific documentation folders

Seed: 7449368709244611695 (deterministic, reproducible)

Property: Same seed always produces same color palette