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Wave-9c: Expand 5 thinnest PhD chapters to β‰₯1000 LoC#796

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Closes #795

Wave-9c: PhD Thin Chapter Expansion

Expand the 5 thinnest chapters of the Flos Aureus PhD monograph to β‰₯1000 LaTeX LoC each.

Before / After LoC Table

File Chapter Before LoC After LoC Delta
flos_00.tex Ch.0 Monadic Prologue 169 1020 +851
flos_65.tex Ch.31 Hardware Empirical 166 1013 +847
flos_66.tex Ch.32 UART v6 Protocol 194 1006 +812
flos_67.tex Ch.33 JTAG macOS BLK-001 184 1004 +820
flos_68.tex Ch.34 Energy 3000x DARPA 151 1005 +854

Theorems Added

flos_00.tex (Ch.0): Trinity Identity (INV-22), Closure of L under squaring, Lucas-Fibonacci relation, Power-sum identity for quadratic units

flos_65.tex (Ch.31): TMAC overflow bound, LUT-vs-DSP power lemma, Ternary encoding is lossless, Pipeline latency invariant

flos_66.tex (Ch.32): Frame boundary uniqueness, CRC-16 error detection bound, phi-sync maintains zero drift, phi-sync period optimality, Recovery automaton is deterministic

flos_67.tex (Ch.33): fxload transition timing, JTAG cardinality-3 echo, FPGA programming time corollary, Kext-free resolution, BLK-001 resolution is reproducible

flos_68.tex (Ch.34): DARPA 3000x claim, Zero-absorption property, Ternary TMAC needs no multiplier, Energy decreases with sparsity, Energy decomposition via Trinity Identity, Ternary weights as Lucas ring elements

Rule Compliance

Rule Requirement Status
R3 >=1000 LoC per chapter All 5 verified
R3 >=2 citations per chapter All 5: >=10 citations
R3 >=1 theorem per chapter All 5: 4-7 theorems
R7 Falsification witness paragraph All 5 chapters
R12 Lee/GVSU numbered proofs All theorems
R14 coq_citation_map.json update New file (15 entries)

New Artifact

docs/phd/artifacts/coq_citation_map.json β€” 210 lines, 15 entries mapping Wave-9c theorems to Coq corpus

Anchor

phi^2 + phi^{-2} = 3 (INV-22) | DOI: 10.5281/zenodo.19227877 | Defense: 2026-06-15


Wave-9c automated expansion | Author: Dmitrii Vasilev admin@t27.ai | License: Apache-2.0

R3/R7/R12/R14 compliant expansion of the 5 thinnest Flos Aureus
monograph chapters. Before/after LoC:

  flos_00.tex (Ch.0  Monadic Prologue):          169  β†’ 1020 LoC
  flos_65.tex (Ch.31 Hardware Empirical):         166  β†’ 1013 LoC
  flos_66.tex (Ch.32 UART v6 Protocol):           194  β†’ 1006 LoC
  flos_67.tex (Ch.33 JTAG macOS BLK-001):         184  β†’ 1004 LoC
  flos_68.tex (Ch.34 Energy 3000Γ— DARPA):         151  β†’ 1005 LoC

Per-chapter additions:
- β‰₯2 \cite references from docs/phd/bibliography.bib (R3)
- β‰₯1 theorem with Lee/GVSU numbered proof (R3, R12)
- Falsification witness paragraph (R7)
- Coq cross-reference for each runtime invariant (R14)
- New file: docs/phd/artifacts/coq_citation_map.json

Theorems added:
  flos_00: Trinity Identity (INV-22), Closure-under-squaring,
           Lucas-Fibonacci relation, Power-sum identity
  flos_65: TMAC overflow bound, LUT-vs-DSP power, Encoding lossless,
           Pipeline latency invariant
  flos_66: Frame boundary uniqueness, CRC-16 error detection,
           phi-sync zero drift, Period optimality, Automaton determinism
  flos_67: fxload transition time, JTAG cardinality-3 echo,
           Kext-free resolution, BLK-001 reproducibility
  flos_68: DARPA 3000x claim, Zero-absorption property,
           No-multiplier property, Energy-sparsity monotonicity

Anchor: phi^2 + phi^{-2} = 3 (INV-22)
DOI: 10.5281/zenodo.19227877
Defense: 2026-06-15
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Wave-9c: Expand 5 thinnest PhD chapters to β‰₯1000 LoC

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