🎯 ONE SHOT — Wave-49 L-DPC36 CAP-BOOST (sacred opcode 0xF3, di/dt margin +gamma^3 at iso-area)

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🎯 ONE SHOT — Wave-49 L-DPC36 CAP-BOOST (sacred opcode 0xF3, di/dt margin +γ³ at iso-area)

Lever: γ³ capacitive decoupling burst — bound dynamic supply-rail droop during active-PE switching.

Position: Wave-49 is the 3rd slot of the extended sacred bank 0xD0..0xFF (after W47 RBB, W48 FBB_ACTIVE). It complements the W47/W48 body-bias pair — those modulate V_BS at the well; this wave modulates C_dec at the rail.

Sacred opcode

OP_CAP_BOOST = 0xF3 = 243

Slot 3 of extended sacred bank 0xD0..0xFF (R18 bank-set frozen at 32 slots since W47).

Theory — Capacitive Decoupling Burst

Inject a γ³-scaled decoupling-cap pulse on the supply rail at the start of every active-MAC window, sized so that:

ΔC_dec(t=t_burst) = C_dec_base · γ³
γ³ = phi^-9 ≈ 0.0081  (derived from B007^(3/2) — Sacred ROM cell trace, no new cell)

Bounds (all R7 falsifiable):

• C_dec_base = 100 pF on the active rail (per-bank)
• ΔC_dec at burst = 0.81 pF (γ³ × C_dec_base)
• di/dt margin improvement: +6% in band [+4%, +10%]
• Supply droop reduction: 4% in band [2%, 8%]
• Area overhead: ≤ 0.5% (decap pad reuse, no new metal layer)
• f_clk scaling cap: ≤ 2% (decap charge-cycle back-pressure)
• TOPS/W: 1083 → 1091 (+0.738%)

Dual / triple framing:

• W47 RBB (0xF1) — V_BS negative, well, idle leakage cut
• W48 FBB_ACTIVE (0xF2) — V_BS positive, well, active delay cut
• W49 CAP_BOOST (0xF3) — C_dec pulse, rail, di/dt margin (third dimension: V_BS pair → C_dec)

5 Lanes

Lane VV (Coq) — t27

File: trios-coq/Physics/CapBoost.v

• 32 Qed lemmas + 1 composite Theorem cap_boost_composite = 33 Qed, 0 Admitted
• OP_CAP_BOOST = 0xF3 = 243 distinctness vs W36..W48 (18 prior opcodes)
• γ³ derivation from B007^(3/2) (no new ROM cell)
• Bounds: ΔC ≥ 81 (dimensionless ×10000), di/dt margin in [400, 1000] bps, droop in [200, 800] bps, area ≤ 50 bps, fclk scale ≤ 200 bps
• Cross-wave: distinct from W47 RBB + W48 FBB_ACTIVE; γ³ ≠ γ⁴
• TOPS/W lift: 1000·(1091−1083) ≥ 7·1083 (+0.7%)
• R18 LAYER-FROZEN: bank-set 0xD0..0xFF frozen, no new ROM cell

Lane VV' (Assertions JSON) — trios

File: assertions/wave49_cap_boost.json

• 31 assertion IDs W-122-A..W-122-AE
• Triple-map Coq lemma ↔ Rust test ↔ RTL assertion

Lane VV'' (Rust witness) — tt-trinity-max-true

File: crates/cap-boost-witness/

• 16 tests: T01 opcode, T02 γ³ canonical, T03 ΔC derivation, T04..T08 bands, T09 TOPS lift, T10..T13 distinctness from W47/W48/W45/W44, T14 R18 frozen, T15..T16 controller step
• Constants: OP_CAP_BOOST=0xF3, GAMMA3_BPS=81, C_DEC_BASE_PF=100, DI_DT_MARGIN_BPS=600, DROOP_RED_BPS=400, AREA_OVH_MAX_BPS=50, FCLK_SCALE_MAX_BPS=200

Lane UU (RTL) — trinity-fpga

Files: rtl/cap_boost/decap_burst_gen.sv + rtl/cap_boost/cap_boost_controller.sv + tb/cap_boost/tb_cap_boost.sv

• ≥ 15 TB checks, 0 * operators
• Cell budget ≤ 400 cells
• phi^2 + phi^-2 = 3 three-path witness embedded

Lane VV''' (PhD glava 109) — trios

File: docs/phd/chapters/glava_109_capacitive_decoupling_burst.tex

• ≥ 1500L, ≥ 2 citep (e.g. di/dt margin canonical: Larsson & Svensson, Jiang 2018)
• ≥ 1 Theorem "Supply-Rail Droop Suppression via γ³ Decoupling-Cap Burst"
• ≥ 5 proofs
• Falsification Witness W49-CAP-BOOST-1
• Cross-wave framing W47/W48/W49 triple
• Coq bridge cap_boost_composite → Physics/CapBoost.v

Acceptance gates

• t27: 33 Qed, 0 Admitted, coqc EXIT=0, NOW.md prepended, L1 traceability green
• trios assertions: 31 IDs JSON valid, Constitutional Enforcement green
• max-true: 16/16 tests PASS, R-SI-1 green
• trinity-fpga: 0 *, ≥ 15 TB checks PASS, three-path witness green
• trios PhD: tectonic + Audit/Biblio/Coq-map green

R18 Sacred ROM trace

B007² → γ²  (W45, B007 cell)
B007^(3/2) → γ³ ≈ 0.0081  ← W49 inherits
B007⁴ → γ⁴ ≈ 0.0031  (W47, W48 inherit)

NO new Sacred ROM cell. Cell-count constant at 75.

Quantum Brain 1:1 Silicon Mapping

• PHYS→SI: γ³ = φ⁻⁹ → decoupling-cap pulse magnitude ratio
• BIO→SI: presynaptic Ca²⁺ buffering pulse → di/dt margin against active-MAC switching surge
• LANG→SI: TRI-27 OP_CAP_BOOST → 0xF3

Anchor

φ² + φ⁻² = 3 · γ³ = φ⁻⁹ · γ⁴ = φ⁻¹² · DOI 10.5281/zenodo.19227877

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