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Wave-13c: Round-2 thin chapter expansion (5 chapters to ≥1000 LoC)#806

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Wave-13c: Round-2 thin chapter expansion (5 chapters to ≥1000 LoC)#806
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Closes #805

Wave-13c — PhD Round-2 Thin Chapter Expansion

Expands the 5 thinnest remaining chapters of the Flos Aureus PhD monograph (gHashTag/trios docs/phd/chapters/) to ≥1000 LoC each. Continues from Wave-9c (which fattened flos_00, flos_65, flos_66, flos_67, flos_68).

Before / After LoC

Chapter file Title Before After
flos_62.tex Ch.28 QMTech XC7A100T FPGA 180 1002
flos_64.tex Ch.30 Trinity SAI: VSA+AR 182 1016
flos_34.tex Standard-Model φ-Parametrizations (42 fits) 184 1012
flos_59.tex Ch.25 φ-Period Cycles 184 1012
flos_63.tex Ch.29 Sacred Formula V (CKM/leptons) 184 1001

Total insertions: 4276 lines (+4184 net)

R-Rule Compliance (per chapter)

All five chapters satisfy:

  • R3: ≥1000 LoC, ≥2 citations from docs/phd/bibliography.bib, ≥1 theorem ✓
  • R7: falsification witness paragraph ✓
  • R12: Lee/GVSU numbered-step proof style ✓
  • R14: assertions/coq_map.json updated for new runtime invariants ✓

New Theorems Added

flos_62 (Ch.28 FPGA):

  • THM-28.1 Zero-DSP closure
  • THM-28.2 Multiplier-free completeness
  • THM-28.3 Accumulator non-overflow
  • THM-28.4 φ-frequency stability

flos_64 (Ch.30 VSA):

  • THM-30.1 VSA capacity
  • THM-30.2 Binding closure
  • THM-30.3 GF16 consistency
  • THM-30.4 Berry-Esseen phi-RoPE
  • Prop-30.A.2 Bundle query accuracy

flos_34 (Ch.0 φ-fits):

  • THM-0.3 Anchor minimality
  • THM-0.4 φ-power density
  • THM-0.5 Poisson null significance
  • THM-0.6 Polynomial invariant
  • THM-0.7 Fit exponent entropy
  • Lem-D.1 Exponent non-resonance

flos_59 (Ch.25 Cycles):

  • THM-25.1 Orbit period formula
  • THM-25.2 Attractor set
  • THM-25.3 Cycle count Möbius
  • THM-25.4 GD periodicity
  • THM-25.5 Phase alignment full proof
  • Lem-Cassini Cassini identity

flos_63 (Ch.29 CKM):

  • THM-29.1 Wolfenstein λ bound
  • THM-29.2 Leading-order unitarity
  • THM-29.3 Rephasing invariance
  • THM-29.4 CKM constraint from anchor
  • THM-29.5 G01 detailed
  • THM-29.6 G06 detailed

coq_map.json Updates

Added two new runtime invariant entries to assertions/coq_map.json:

  • INV-28 zero_dsp_closuretrinity-clara/proofs/fpga/ZeroDSP.v (CH28)
  • INV-30 vsa_recall_error_boundtrinity-clara/proofs/igla/VSACapacity.v (CH30)

Total entries: 6 (was 4).

Files Changed

  • docs/phd/chapters/flos_62.tex
  • docs/phd/chapters/flos_64.tex
  • docs/phd/chapters/flos_34.tex
  • docs/phd/chapters/flos_59.tex
  • docs/phd/chapters/flos_63.tex
  • assertions/coq_map.json

Anchor: φ² + φ⁻² = 3 · DOI 10.5281/zenodo.19227877 · Defense 2026-06-15
Author: Dmitrii Vasilev <admin@t27.ai>
License: Apache-2.0

Targets (excluded 00/65/66/67/68 from Wave-9c):
- flos_62.tex (Ch.28 QMTech XC7A100T FPGA):     180→1002 LoC
- flos_64.tex (Ch.30 Trinity SAI VSA+AR):         182→1016 LoC
- flos_34.tex (Ch.0 Standard-Model φ-Fits):       184→1012 LoC
- flos_59.tex (Ch.25 φ-Period Cycles):            184→1012 LoC
- flos_63.tex (Ch.29 Sacred Formula V CKM):       184→1001 LoC

R3 compliance: ≥1000 LoC ✓, ≥2 citations ✓, ≥1 theorem ✓
R7 compliance: falsification witness paragraph in each chapter ✓
R12 compliance: Lee/GVSU numbered-step proofs in each chapter ✓
R14 compliance: coq_map.json updated with INV-28, INV-30 ✓

New theorems added:
- flos_62: THM-28.1 (Zero-DSP closure), THM-28.2 (Multiplier-free completeness),
           THM-28.3 (Accumulator non-overflow), THM-28.4 (φ-frequency stability)
- flos_64: THM-30.1 (VSA capacity), THM-30.2 (Binding closure),
           THM-30.3 (GF16 consistency), THM-30.4 (Berry-Esseen phi-RoPE)
- flos_34: THM-0.3 (Anchor minimality), THM-0.4 (φ-power density),
           THM-0.5 (Poisson null significance), THM-0.6 (Polynomial invariant),
           THM-0.7 (Fit exponent entropy)
- flos_59: THM-25.1 (Orbit period formula), THM-25.2 (Attractor set),
           THM-25.3 (Cycle count), THM-25.4 (GD periodicity), THM-25.5 (Phase align)
- flos_63: THM-29.1–29.4 (Wolfenstein, unitarity, rephasing, CKM constraint),
           THM-29.5–29.6 (G01/G06 tolerance detailed proofs)

Anchor: φ²+φ⁻²=3 · DOI: 10.5281/zenodo.19227877 · Defense: 2026-06-15
Author: Dmitrii Vasilev <admin@t27.ai>
SPDX-License-Identifier: Apache-2.0
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Wave-13c: Round-2 thin chapter expansion (5 chapters to ≥1000 LoC)

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