feat(phd): Lane A3 — Appendix E (Lexicon) + Appendix F (Genealogy) + frontmatter

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🎯 Goal

Write all frontmatter and the two encyclopaedic appendices.

Parent epic: #30
Lane: A (support task)
Depends on: #41 (Lane A scaffold)

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📂 Deliverables

frontmatter/abstract.tex

• Max 300 words
• Must mention: Trinity Identity, α_φ, GF16, IGLA-GF16, Coq, Coldea anchor
• Style: paste.txt Zenodo abstract as base
• Language: English

frontmatter/dedication.tex

• Short, elegant

frontmatter/acknowledgements.tex

• Olsen, Pellis, trinity-clara contributors

frontmatter/preface.tex

• 2–3 pages: why this work, the circle as genesis, Euclid to E₈
• Sets the philosophical tone for the monograph

Appendix E — Golden Lexicon

Complete glossary. Required terms:

Term	Definition
φ (Phi, Golden Ratio)	(1+√5)/2 = 1.61803...
Trinity Identity	φ² + φ⁻² = 3
α_φ	φ⁻³/2 = 0.118034...
GF16	GoldenFloat16, [1:6:9] bit format
Vesica Piscis	Intersection of two equal circles
Metatron’s Cube	13-circle sacred geometry figure
E₈	Exceptional Lie group, rank 8, 248 dim
A₅ mechanism	Characteristic polynomial at λ=φ
IGLA	φ-initialized neural architecture
BPB	Bits per byte (language model metric)
VSA	Vector Symbolic Architecture
Coq	Proof assistant (INRIA)
Lucas sequence	L(n) = L(n-1)+L(n-2), L(0)=2, L(1)=1
Phyllotaxis	φ-spiral growth pattern in plants
Quasicrystal	Aperiodic ordered structure with φ-symmetry
Banks-Zaks FP	IR fixed point of QCD at N_f=12
CODATA	Committee on Data for Science & Tech
PDG	Particle Data Group
JUNO	Jiangmen Underground Neutrino Observatory
...40+ more terms	...

Appendix F — Golden Genealogy

Timeline of φ from antiquity to Trinity:

~300 BC  Euclid — extreme and mean ratio (Elements VI.30)
~300 BC  Euclid — Platonic solids (Elements Book XIII)
1509     Pacioli — De Divina Proportione
1596     Kepler — Mysterium Cosmographicum (Platonic solid orrery)
1619     Kepler — Harmonices Mundi (musical φ)
1843     Hamilton — quaternions
1845     Cayley — octonions
1892     Lucas — Lucas sequence
1900     Hilbert — 23 problems (formalist program)
1900     Planck — blackbody, quantum constant
1916     Sommerfeld — α fine-structure constant named
1952     Weyl — Symmetry (Princeton lectures)
1952     Turing — morphogenesis
1953     Watson-Crick — DNA double helix
1962     Caspar-Klug — icosahedral virus capsids
1974     Penrose — aperiodic tiling
1982     Shechtman — quasicrystals (Al6Mn)
1982     Koide — lepton mass formula
1985     Kroto — C60 fullerene
1989     Zamolodchikov — E8 mass spectrum, M2/M1=φ
1992     Douady-Couder — phyllotaxis ferrofluid proof
2004     El Naschie — golden mean number system
2006     Olsen — The Golden Section
2007     Lu-Steinhardt — Islamic girih φ-tiles
2010     Coldea et al. — CoNb2O6, E8 experimental proof
2011     Shechtman — Nobel Prize for quasicrystals
2014     Hales — Flyspeck formal Kepler proof
2017     Viazovska — sphere packing 8D
2020     Amelin et al. — high-res E8 confirmation
2022     Viazovska — Fields Medal
2024     PDG 2024 world averages
2025     Vasilev et al. — Trinity Framework v1.0
2026     Trinity PhD — Flos Aureus

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✅ Acceptance criteria

• abstract.tex ≤ 300 words, mentions all 5 theorems
• Lexicon has ≥40 defined terms
• Genealogy timeline has ≥30 entries from Euclid to 2026
• NO .sh files
• Branch: feat/phd-frontmatter-lexicon
• Commit: feat(phd): Lane A3 frontmatter+lexicon refs #30 closes #49

📊 Sync

Before starting, post in #30:
🔒 AGENT [name] CLAIMING: Lane A3 Frontmatter+Lexicon | Branch: feat/phd-frontmatter-lexicon | Status: IN PROGRESS

refs #30

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Lane content exists in corresponding flos_XX.tex chapter and appendix files. Chapters expanded in commits 3a99bb9..988a80c.