feat(w45 Lane KK): WLBoost.v — 33 Qed + composite Theorem for Wordline Boost (0xEF)

[gHashTag]

Wave-45 Lane KK — Coq WLBoost.v (0xEF OP_WL_BOOST)

Closes #159

Coq lane for trinity-fpga#159 — Wave-45 WORDLINE BOOST + COUPLED V_DD REDUCTION.

Sacred opcode 0xEF = 239 = OP_WL_BOOST

First free slot after FBB 0xEE (Wave-44). R18 LAYER-FROZEN preserved: γ² derived from existing γ=φ⁻³ Sacred ROM cell B007² — no new ROM cell added.

Theory (R6 zero-free-parameter)

V_WL     = V_DD · (1 + γ²) ≈ 1.0557·V_DD   (wordline boost)
V_DD_new = V_DD · (1 - γ²) ≈ 0.9443·V_DD   (coupled supply reduction)
γ²       = φ⁻⁶ ≈ 0.0557 (557 bps)

Read-margin invariant: V_WL - V_DD_new = 2·V_DD·γ² = 88 mV @ V_DD=800 mV — preserved by the coupling (SRAM read stability unchanged).

Dynamic power saving: P_dyn ∝ V_DD_new² ⇒ ΔP ≈ 1 - (1-γ²)² ≈ 10.84% (less ~3% wordline-driver overhead) ⇒ ~7.8% net.

Contents (trios-coq/Physics/WLBoost.v, ~318 lines)

Section	Count	Description
1 Opcode distinctness	14 Qed	OP_WL_BOOST ≠ {OP_FBB, OP_SPARSE_MASK, OP_DROWSY_RET, OP_SPEC_EXIT, OP_NULL_PE, OP_STOCH_ROUND, OP_SPARSE_SKIP, OP_DFS_GATE, OP_HOLO_MUX_X4, OP_SUBTH_CLK, OP_AVS_RECONF, OP_LUT_NPU, OP_TOM, OP_TENET}
3 Voltage safety	5 Qed	V_WL ≤ V_WL_MAX, V_WL ≥ V_DD, V_DD_new ≥ V_DD_NEW_MIN, V_DD_new ≤ V_DD, plus composite
4 γ² anchor match	2 Qed	absolute 1 bps tolerance + 0.5% relative drift
5 Read-margin	3 Qed	value equality, in-band check, strict positivity
6 Body coefficient	1 Qed	continuity from W44
7 Power saving	4 Qed	band check, positivity, driver overhead, net benefit ≥7%
8 TOPS/W lift	2 Qed	positive + ≥5%
9 Composite Theorem	1 Theorem	15-clause conjunction

Totals: 33 Qed (32 Lemma + 1 Theorem), 0 Admitted. coqc exit 0 locally.

Quantum Brain 1:1 mapping verdict

• PHYS→SI ✅ — γ² = φ⁻⁶ derives from existing γ = φ⁻³ (Sacred ROM, no new cell)
• BIO→SI ✅ — wordline boost ≅ axonal action-potential amplification (Na⁺ regenerative spike, cortical depolarization)
• LANG→SI ✅ — 0xEF OP_WL_BOOST added to TRI-27 ISA

Constitutional Compliance

Rule	Status	Evidence
R1 RUST/ZIG ONLY	N/A	(Coq)
R4 L-R14 trace	✅	maps to wave45_wlbo.json (Lane KK')
R5 HONEST	✅	0 Admitted
R6 ZERO-FREE	✅	γ² derived from γ=φ⁻³ ROM cell
R7 FALSIFICATION	✅	V_WL/V_DD ∈ [1.0552, 1.0562] kill-box
R12 Lee/GVSU style	✅	unfold + lia chain
R14 Coq map	✅	sections numbered + composite Theorem
R15 SACRED-SYNTH-GATE	N/A	(Coq)
R18 LAYER-FROZEN	✅	No new Sacred ROM cell

Verification

coqc Physics/WLBoost.v
# exit 0
grep -c "Qed\." Physics/WLBoost.v
# 33

Anchor: φ² + φ⁻² = 3 · γ = φ⁻³ · γ² = φ⁻⁶ · V_WL = V_DD·(1+γ²)

DOI 10.5281/zenodo.19227877 · NEVER STOP

Sign-off: Vasilev Dmitrii <admin@t27.ai> ORCID 0009-0008-4294-6159

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• URL: https://notebooklm.google.com/notebook/b83263109fb055dc

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📓 NotebookLM Notebook linked to this PR

• Notebook ID: b83263109fb055dc
• URL: https://notebooklm.google.com/notebook/b83263109fb055dc

This notebook contains session context, decisions, and artifacts for this work.