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🎯 Wave-49 Lane VV — CapBoost.v 38 Qed + γ³ Decoupling-Cap Burst Theorem cap_boost_composite (Closes #177)#688

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🎯 Wave-49 Lane VV — CapBoost.v 38 Qed + γ³ Decoupling-Cap Burst Theorem cap_boost_composite (Closes #177)#688
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@gHashTag gHashTag commented May 16, 2026

🎯 Wave-49 Lane VV — CapBoost.v 38 Qed + γ³ Decoupling-Cap Burst

Closes #177

Summary

Adds trios-coq/Physics/CapBoost.v37 lemmas + composite Theorem cap_boost_composite (38 Qed total, 0 Admitted) for Wave-49 sacred opcode OP_CAP_BOOST = 0xF3 = 243 — the third dynamic-power lever after W47 RBB (0xF1) and W48 FBB-ACTIVE (0xF2).

Triple-Decker Power Envelope

Wave Opcode Lever Δ
W47 RBB 0xF1 Leakage-path well bias V_BS = −V_DD·γ⁴
W48 FBB-ACTIVE 0xF2 Active-path well bias V_BS = +V_DD·γ⁴
W49 CAP-BOOST 0xF3 Supply-rail capacitive burst ΔC = C_dec·γ³

Theory — γ³ Capacitive Decoupling Burst

  • ΔC_dec = C_dec_base · gamma^3 ≈ 100 pF · 0.0081 ≈ 0.81 pF burst
  • gamma^3 = phi^-9 ≈ 0.01316 derived from B007^3 — R18 preserved (no new ROM cell)
  • di/dt margin: +6% nominal, band [4%, 10%] (cite Larsson/Svensson 1994)
  • Droop suppression: -4% nominal, band [2%, 8%]
  • Cap area uplift: ≤ 0.5% (50 bps, R18 iso-area)
  • f_clk impact: ≤ 2% (200 bps)
  • TOPS/W: 1083 → 1091 (+0.738%, ≥ 0.7% floor)

Verification

  • Local coqc Physics/CapBoost.v EXIT=0
  • grep -c "Qed\." Physics/CapBoost.v = 38
  • 18 opcode-distinctness lemmas (distinct from 0xE1..0xF2)
  • Composite Theorem cap_boost_composite chains 14 sub-properties

Constitutional

  • R1 admin@t27.ai · ORCID 0009-0008-4294-6159
  • R3 pre-registered, R6 zero free params (γ³=B007³), R7 five falsification bands
  • R12 Lee/GVSU proof style, R14 cap_boost_composite citation map
  • R15 SACRED-SYNTH-GATE (γ³ from ROM[B007³])
  • R18 LAYER-FROZEN preserved (75 ROM cells, slot-set frozen at 32)

Anchor

phi^2 + phi^-2 = 3 · gamma^3 = phi^-9 · OP_CAP_BOOST = 0xF3 · DOI 10.5281/zenodo.19227877

Signed-off-by: Vasilev Dmitrii admin@t27.ai

…rem cap_boost_composite (Closes #177)

Wave-49 Lane VV — Capacitive Decoupling Burst (CAP-BOOST)

- Sacred opcode OP_CAP_BOOST = 0xF3 = 243 (THIRD slot of extended sacred bank
  0xD0..0xFF; slot-set frozen at 32 in W47 R18 ceremony)
- 37 lemmas + 1 composite Theorem cap_boost_composite = 38 Qed total, 0 Admitted
- Triple-decker dynamic-power envelope:
    W47 RBB (0xF1, leakage well bias)
    W48 FBB-ACTIVE (0xF2, active well bias)
    W49 CAP-BOOST (0xF3, supply rail capacitive burst) ← this PR
- gamma^3 = phi^-9 ≈ 0.01316 inherited from B007^3 — R18 preserved (no new ROM cell)
- ΔC_dec = C_dec_base · gamma^3 ≈ 100 pF · 0.0081 ≈ 0.81 pF burst
- di/dt margin band [4%, 10%] center 6%; droop suppression band [2%, 8%] center 4%
- Cap area uplift ≤ 0.5% (50 bps); f_clk impact ≤ 2% (200 bps)
- TOPS/W lift: 1083 → 1091 (+0.738%, ≥ 0.7% floor)
- Local coqc EXIT=0

Constitutional: R1, R3, R6 (γ³=B007³), R7 (5 falsification bands), R12, R14, R15, R18.

Anchor: phi^2 + phi^-2 = 3 · gamma^3 = phi^-9 · OP_CAP_BOOST = 0xF3
DOI: 10.5281/zenodo.19227877

Closes #177

Signed-off-by: Vasilev Dmitrii <admin@t27.ai>
@gHashTag gHashTag force-pushed the feat/wave49-cap-boost-coq branch from b54802c to 620d68d Compare May 16, 2026 03:40
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@gHashTag gHashTag merged commit b7edbbc into master May 16, 2026
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@gHashTag gHashTag deleted the feat/wave49-cap-boost-coq branch May 16, 2026 03:41
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