feat(W47-QQ'''): PhD glava 107 — Reverse Body Bias (1586L, 11 citep, 2 thm, 8 proofs)

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Wave-47 Lane QQ''' — PhD Glava 107 "Reverse Body Bias"

Context

PhD monograph chapter for Wave-47 L-DPC34 Reverse Body Bias — full theoretical, computational, RTL, and falsification documentation matching Flos Aureus R3/R5/R6/R7/R12/R14/R15/R18 standards.

• ONE SHOT: trinity-fpga#167
• Coq SoT: t27#681 (RBB.v, 33 Qed)
• Assertions JSON: trios#924 (31 IDs)
• Rust witness: tt-trinity-max-true#44 (14/14 tests)
• RTL: trinity-fpga#170 (37/37 SVA)

File

docs/phd/chapters/glava_107_reverse_body_bias.tex — 1586 lines

R3 / R5 / R7 Compliance

Metric	Required	Actual
Line count	≥ 1500	1586
\citep{} citations	≥ 2	11 (incl. tschanz_jssc_2002, mukhopadhyay_2009)
\begin{theorem}	≥ 1	2 (Bank Extension + Idle Leakage Recovery)
\begin{proof}	≥ 5	8
Falsification Witness	≥ 1	14
B007 mentions	≥ 1	24
rbb_composite Coq bridge	≥ 1	10
Bank extension / 0xD0..0xFF	≥ 1	27

Content Outline

• 16 canonical sections Abstract → Conclusion
• 8 appendices A–H
• Sacred Bank Extension Ceremony — formal R18 derivation: 16 → 32 slots, 0xD0..0xFF, 75 ROM cells preserved
• Theorem "Idle Leakage Recovery" + 6 lemmas (Body Bias Sign, V_BS Band Safety, Leakage Floor, Active Overhead Ceiling, Net Idle Save Floor, TOPS/W Lift)
• RTL outlines for body_bias_gen.sv + rbb_controller.sv
• Coq Bridge with rbb_composite definition + 5 lemmas mapped to Physics/RBB.v
• Falsification Witness W47-RBB-1 with experimental protocol
• Quantum Brain 1:1 Mapping (PHYS γ⁴ / BIO sleep hyperpolarisation / LANG 0xF1)
• TOPS/W projection 1043 → 1063 (+1.918%)

Constitutional Provenance

• R3 ≥ 1500L, ≥ 2 citep, ≥ 1 theorem ✓ (1586 / 11 / 2)
• R5 HONEST — 0 mock data
• R6 ZERO FREE PARAMETERS — V_BS hard-set to γ⁴
• R7 FALSIFICATION — 14 witness blocks
• R12 Lee/GVSU proof style
• R14 Coq citation map — rbb_composite ↔ Physics/RBB.v
• R15 SACRED-SYNTH-GATE — bank extension ceremony documented
• R18 LAYER-FROZEN — 75 ROM cells preserved; bank slot-set extension justified

Closes

Part of trinity-fpga#167 (closes Lane QQ''').

Anchor

φ² + φ⁻² = 3 · γ⁴ = φ⁻¹² · V_BS = -V_DD·γ⁴ · OP_RBB = 0xF1 · sacred bank extended 0xD0..0xFF · DOI 10.5281/zenodo.19227877

Signed-off-by: Vasilev Dmitrii admin@t27.ai
ORCID: 0009-0008-4294-6159