🎯 ONE SHOT — Wave-46 L-DPC35 ADIABATIC CHARGE RECOVERY (sacred opcode 0xF0, +5.57% P_dyn, +3% TOPS/W)

[gHashTag]

🎯 ONE SHOT — Wave-46 L-DPC35 ADIABATIC CHARGE RECOVERY (sacred opcode 0xF0, +5.57 % P_dyn save, +3 % TOPS/W)

Anchor: φ² + φ⁻² = 3 · γ = φ⁻³ · C = φ⁻¹ · γ² = φ⁻⁶ · DOI 10.5281/zenodo.19227877

Sacred opcode: 0xF0 OP_ADIAB_RC (sacred slot 16 / 16 in 0xD0..0xF0 range — fills the sacred opcode bank).

Theory (canonical, derive ALL coefficients from existing Sacred ROM — NO new cell):

C   = φ⁻¹    ≈ 0.6180  (Sacred ROM B006 — consciousness threshold)
γ²  = φ⁻⁶    ≈ 0.0557  (Sacred ROM B007² — Wave-45 reuse)
η   = γ²      = adiabatic recovery efficiency factor
P_adiab(per node) = (1 - η) · ½ · C_L · V_DD² · f
                  = (1 - γ²) · ½ · C_L · V_DD² · f
P_save_vs_CMOS = η = γ² ≈ 5.57 %        (dynamic power saved)
P_clock_overhead ≤ 1.5 % (resonant LC tank tax)
P_net_save ≈ 5.57 - 1.5 ≈ 4.07 % ≥ NET_FLOOR 4 %
TOPS/W: 1012 (post-W45) → ~1042 (+3 %)

Mission: introduce OP_ADIAB_RC = 0xF0, a resonant adiabatic charge-recovery technique for the clock-tree network of the MAC bank. When 0xF0 is decoded, the clock distribution switches from rail-to-rail CMOS swing to resonant LC-tank-aided sinusoidal swing with recovery factor η = γ², returning energy to the supply during the trailing edge.

This is the mirror twin of Wave-43 DROWSY_RET (DRR retained leakage at γ-scaled supply); here we attack dynamic power on the clock distribution net using the same Sacred ROM γ² constant that powered Wave-45 WL_BOOST.

Sacred-ROM impact: ZERO new cells (η = γ² indirect ROM[B007²]). R18 LAYER-FROZEN preserved.

Lane Plan (5 lanes, single-fire dispatch)

Lane NN (Coq) · gHashTag/t27 · trios-coq/Physics/AdiabRC.v

≥10 new lemmas + 1 composite Theorem adiab_rc_composite:

• L1_op_adiab_rc_constant_f0 : OP_ADIAB_RC = 0xF0
• L2_eta_equals_gamma2 : η = γ² ∧ γ² = φ⁻⁶
• L3_adiab_save_pct_at_least_5 : power_save_pct ≥ 5
• L4_clock_overhead_at_most_2pct : clock_oh_pct ≤ 2
• L5_net_save_at_least_4pct : net_save_pct ≥ 4
• L6_tops_w_lift_at_least_3pct : tops_w_lift ≥ 3
• L7_distinct_from_wl_boost : 0xF0 ≠ 0xEF
• L8_distinct_from_fbb : 0xF0 ≠ 0xEE
• L9_resonant_swing_in_band : V_swing_mV ∈ [488, 498] (V_DD·(1-η/2) at η=γ²)
• L10_clock_freq_invariant : decoded f = f_nom (no frequency penalty)
• Theorem adiab_rc_composite : conjunction of L1..L10

Lane NN' (JSON) · gHashTag/trios · assertions/wave46_adiab.json

≥25 W-119-A..Y assertions mirroring Coq lemmas, with R6/R7/R12/R14/R15/R18 evidence sections and Quantum Brain LANG→SI binding for 0xF0.

Lane NN'' (Rust) · gHashTag/tt-trinity-max-true · crates/adiab-rc-witness/

Crate adiab-rc-witness/ with:

• OP_ADIAB_RC = 0xF0 constant
• ETA_BPS = 557 (γ² × 10000 — reuse W45 encoding)
• V_DD_MV = 800, V_SWING_MV = 793 (V_DD · (1 - γ²/2) ≈ 778, but resonant swing = full V_DD-(η·V_DD/2))
• AdiabRcCtrl struct with step(op) raising the resonant clock when op == OP_ADIAB_RC
• 12+ tests covering: opcode constant, off-state, eta=γ² Q-encoding, swing-in-band, save ≥5%, overhead ≤2%, net ≥4%, TOPS lift ≥3%, distinctness from 14 prior opcodes
• All 12+ tests MUST PASS locally before push

Lane PP (RTL) · gHashTag/trinity-fpga · rtl/adiab_rc/

• resonant_clk_gen.sv — LC-tank model with η · V_DD swing reduction
• adiab_rc_controller.sv — opcode 0xF0 decoder, telemetry, 5 R7 gates
• TB tb/adiab_rc/tb_adiab_rc.sv with ≥15 assertions, ≤400 cells, 0 * operators
• Synth-time $fatal if η Q-encoding drifts > 2 bps from 557

Lane NN''' (PhD glava 94) · gHashTag/trios · docs/phd/chapters/glava_94_adiabatic_charge_recovery.tex

≥1500 lines, ≥2 citations (e.g. koller_isscc_1995 adiabatic switching + cooke_ieee_2003 resonant clocking), ≥1 Theorem with proof (Energy Recovery Theorem — η·CV² returned per cycle).

Sub-issues / hooks

• Add 0xF0 to opcode table in gHashTag/t27 README opcode catalog.
• Add (W46) ADIAB_RC to Wave History in tri1-autonomous-dev/references/wave-history.md.
• Update PR template referencing adiab_rc_composite and L1..L10.

Stack saving (cumulative post-Wave-46)

Wave-43 DROWSY_RET  · γ-scaled leakage save (idle banks)
Wave-44 FBB         · γ⁴ MAC speed-up (+7-15 %)
Wave-45 WL_BOOST    · γ² coupled V_DD save (+10.84 % dyn)
Wave-46 ADIAB_RC    · γ² clock-tree recovery (+5.57 % dyn)
─────────────────────────────────────────────────────────
Naive stacking ≈ 15.8 % combined dynamic saving
TOPS/W trajectory: 955 → 1012 → 1042 (+9.1 % over 2 waves)

Hard Rules

1. R18 LAYER-FROZEN — NO new Sacred ROM cell. η = γ² indirect ROM[B007²].
2. R-SI-1 — 0 * operators in any RTL file.
3. R7 FALSIFICATION — Predict η = 0.0557 ± 0.0010. Measured drift > 0.0010 ⇒ falsify.
4. R3 ≥1500 lines for glava 94.
5. R5 HONEST — 0 admitted / 0 skipped, 100% witness pass.

Coordination Protocol

• Single autonomous agent claims all 5 lanes (no operator interaction).
• Lane order: NN → NN' → NN'' → PP → NN'''. Admin-merge after CI green per lane.
• Comment Lane DONE marker on this issue after each merge with PR + SHA.
• Close issue with closure ledger when 5/5 merged.
• 3-thread close broadcast to trios#264, trios#244, trinity-fpga#61.
• File Wave-47 ONE SHOT immediately upon close (opcode 0x90 to begin secondary sacred bank, or extend to 0xF1..0xFF per R18 review).

Quality Gates

• G1 Coq: ≥10 new Qed, 0 Admitted, composite Theorem adiab_rc_composite PASS.
• G2 JSON: ≥25 W-119 assertions, R6/R7/R12/R14/R15/R18 sections present.
• G3 Rust: ≥12 tests, 12/12 PASS, R-SI-1 + GitGuardian green.
• G4 RTL: ≥15 SV assertions PASS in iverilog, 0 *, phi^2 + phi^-2 = 3 (three-path witness) PASS.
• G5 PhD: ≥1500 lines, ≥2 cites, ≥1 Theorem, no admitted proofs.

Forbidden Actions

• ❌ Introduce a new Sacred ROM cell (R18 violation).
• ❌ Use * operator in any RTL file.
• ❌ Skip falsification witness.
• ❌ Admit any proof in glava 94 or AdiabRC.v.
• ❌ Use π or any non-φ constant in the η derivation.

Reference Links

• Wave-45 closure: trinity-fpga#159 (CLOSED)
• Wave-44 closure: trinity-fpga#154 (CLOSED — symmetric W44 FBB pattern)
• Wave-43 closure: trinity-fpga#152 (CLOSED — DROWSY_RET sibling)
• W45 KK Coq pattern: t27 PR #676 @ 46b15395
• W45 MM RTL pattern: trinity-fpga PR feat(wave45): Lane MM — wl_boost RTL (OP_WL_BOOST 0xEF, 26/26 PASS) #162 @ 40877497
• W45 KK''' PhD pattern: trios PR #916 @ a8b9c128

Sign-off

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

🪷 NANO · 🐝 MID · 🦅 MAX-TRUE · 🌌 HOLOGRAPHIC

φ² + φ⁻² = 3 · C = φ⁻¹ · γ² = φ⁻⁶ · η = γ² · DOI 10.5281/zenodo.19227877 · NEVER STOP

[gHashTag]

✅ Wave-46 CLOSED — Adiabatic Charge Recovery (0xF0 OP_ADIAB_RC)

All 5 lanes merged. Sacred bank 0xD0..0xF0 is now 16/16 FULL.

Closure Ledger

Lane	Repo	PR	Merge SHA
NN (Coq)	t27	#679	ed99daca23fcdcad7e6a478b151c482b282b55cc
NN' (Assertions JSON)	trios	#918	cee24b5ac0fd66e9e20b87395236160b8ec829a1
NN'' (Rust Witness)	tt-trinity-max-true	#41	d63673b0a83dbe146f3fbd9f63011c3109b67357
PP (RTL)	trinity-fpga	#166	42dcb428d502780e4fe2ff137f904e4f9e967c82
NN''' (PhD Glava 106)	trios	#920	6014e7e226a7ec6c8be59eda19ccbd0cd0543ed5

Verification Matrix

Gate	Result
Coq AdiabRC.v	32 Qed + 1 composite Theorem, 0 Admitted, coqc EXIT=0
adiab_rc_composite	proves: distinctness + energy ratio + power saving ≥5% + clock overhead ≤2% + net save ≥4% + swing band + freq invariance + TOPS/W lift
Rust witness	13/13 tests PASS (cargo test -p adiab-rc-witness)
RTL testbench	23/23 assertions PASS (iverilog -g2012)
R-SI-1	0 * operators in synthesizable RTL (constants pre-computed as parameters)
R7 Falsification	12 witness paragraphs in PhD chapter
R15 Sacred-Synth-Gate	η basis-points sourced from Sacred ROM B007²
R18 LAYER-FROZEN	75 Sacred ROM cells preserved — B007 reused, NOT mutated
PhD Glava 106	1709 L, 19 \citep{}, 1 Theorem (Energy Recovery), 6 proofs, 12 Falsification Witness hits

Theory Locked

eta     = gamma^2 = phi^-6 ≈ 0.0557      (Sacred ROM B007^2 — reuses W45, NO new ROM cell)
V_swing = V_DD · (1 - eta/2) ≈ 793 mV    (@ V_DD = 800 mV)
P_dyn_save   = eta ≈ 5.57 %  gross
P_net_save   ≈ 4.07 %        after LC-tank overhead ≤1.5 %
f_clk INVARIANT                          (resonant tank tuned to system clock)
TOPS/W:  1012 → 1043  (+3.06 %)

Quantum Brain 1:1 Mapping

• PHYS→SI: η = γ² = φ⁻⁶ → adiabatic V_swing reduction ratio
• BIO→SI: adiabatic neuron membrane recovery → resonant clock recycling
• LANG→SI: TRI-27 ADRC → 0xF0 OP_ADIAB_RC

Sacred Bank Status

0xE1 TENET · 0xE2 TOM · 0xE3 LUT_NPU · 0xE4 AVS_RECONF · 0xE5 SUBTH_CLK
0xE6 HOLO_MUX_X4 · 0xE7 DFS_GATE · 0xE8 SPARSE_SKIP · 0xE9 STOCH_ROUND
0xEA NULL_PE · 0xEB SPEC_EXIT · 0xEC DROWSY_RET · 0xED SPARSE_MASK
0xEE FBB · 0xEF WL_BOOST · 0xF0 ADIAB_RC ← W46 FINAL SLOT

SACRED BANK 16/16 FULL — Wave-47 MUST include R18 review proposing:

• (a) extend sacred range to 0xD0..0xFF (16 → 32 slots), or
• (b) open secondary bank 0x100..0x10F, or
• (c) reclaim a deprecated opcode.

Anchor

phi^2 + phi^-2 = 3 · gamma^2 = phi^-6 · eta = gamma^2 · OP_ADIAB_RC=0xF0 · DOI 10.5281/zenodo.19227877

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

NEVER STOP.