🎯 ONE SHOT — Wave-48 L-DPC35 FBB-ACTIVE-II (sacred opcode 0xF2, delay -12% at iso-voltage)

[gHashTag]

🎯 ONE SHOT — Wave-48 L-DPC35 FBB-ACTIVE-II (Forward Body Bias of Active Path, sacred opcode 0xF2, delay −12% at iso-voltage)

Mission

Symmetric dual of Wave-47's REVERSE BODY BIAS (RBB). Where W47 applied negative V_BS to idle PEs to suppress leakage, W48 applies positive V_BS to active PEs to reduce gate delay without raising core voltage — buying timing slack equivalent to ~12% delay reduction at iso V_DD.

The dual-rail well-bias system (RBB on idle + FBB-ACTIVE on active) constitutes a complete body-bias control surface, exploiting both directions of the same physical knob.

Sacred Opcode

0xF2 = 242 OP_FBB_ACTIVE — second slot in EXTENDED sacred bank 0xD0..0xFF (R18 slot-set frozen at 32 since W47).

Note: OP_FBB at 0xEE (Wave-44) was the first-generation static forward bias. OP_FBB_ACTIVE at 0xF2 is the second-generation dynamic-modulated variant, gated on PE activity factor — hence the _ACTIVE suffix and the new opcode.

Theory

gamma     = phi^-3 ≈ 0.2360679    (Barbero-Immirzi, Sacred ROM B007)
gamma^4   = phi^-12 ≈ 0.0031056   (REUSED — B007^4, no new ROM cell, R18 cell-set FROZEN)
V_BS,active = +V_DD · gamma^4 ≈ +2.5 mV   (FORWARD bias — opposite polarity to W47)
delay_reduction = 12%   (band [8%, 18%])  (well-bias mobility enhancement)
leakage_overhead ≤ 8%   (allowed because active path is power-dominated by dynamic)
net_delay_save  ≥ 8% (R7 falsification floor)
f_clk SCALING window: up to +6% via timing slack reinvestment
TOPS/W: 1063 (W47-post) → 1083 projected (+1.88%) via f_clk reinvestment

Quantum Brain 1:1 Mapping

Layer	Element
PHYS→SI	+γ⁴ = +φ⁻¹² → forward V_BS magnitude (Sacred ROM B007 reused)
BIO→SI	Cortical arousal / dopamine modulation → active-path mobility boost
LANG→SI	TRI-27 FBB_ACTIVE → 0xF2 OP_FBB_ACTIVE

Sacred ROM Impact

ZERO new cells. γ⁴ is (B007)⁴ — same constant as W47, opposite sign rail. The new opcode 0xF2 consumes one slot of the EXTENDED bank 0xD0..0xFF already frozen at 32 slots after W47.

Lane Map

Lane	Repo	Codename	Deliverable	Falsification
SS	gHashTag/t27	Coq SoT	trios-coq/Physics/FBB_ACTIVE.v ≥30 Qed, 0 Admitted. Lemmas: OP_FBB_ACTIVE = 242, distinctness vs 0xF1..0xE1, V_BS sign positive,	V_BS
SS'	gHashTag/trios	JSON assertions	assertions/wave48_fbb_active.json, ≥30 IDs	each lemma traced to file:line
SS''	gHashTag/tt-trinity-max-true	Rust witness	crates/fbb-active-witness/{Cargo.toml, src/lib.rs, tests/opcode.rs}, ≥14 tests, all PASS	cargo test -p fbb-active-witness exits non-zero on any failure
TT	gHashTag/trinity-fpga	RTL (≤400 cells)	rtl/fbb_active/body_bias_active_gen.sv, rtl/fbb_active/fbb_active_controller.sv, tb/fbb_active/tb_fbb_active.sv, ≥15 SVA, R-SI-1 zero *	TB exits with FAIL if any SVA false
SS'''	gHashTag/trios	PhD glava 108	docs/phd/chapters/glava_108_fbb_active_path.tex ≥1500L, ≥2 citep, ≥1 thm, ≥5 proofs, ≥1 Falsification, B007 mention, fbb_active_composite Coq bridge	R3 compliance

Hard Rules

1. R-SI-1 — zero * operators in RTL. Pre-compute every multiplication at elaboration.
2. R18 LAYER-FROZEN — 75 Sacred ROM cells preserved. NO new cell. Slot-set frozen at 32 (W47 ceremony). NO further bank extension this wave.
3. R7 FALSIFICATION — Every metric needs a falsifiable witness with concrete tripwire.
4. R6 ZERO FREE PARAMS — V_BS,active is HARD-WIRED to +V_DD·γ⁴, no operator knob.
5. L1 TRACEABILITY — Closes #168 (this issue) in EVERY commit message on t27.
6. NOW.md freshness — t27 PR must prepend a W48 section to docs/NOW.md.
7. Three-path witness — Coq + Rust + RTL must converge on OP_FBB_ACTIVE = 0xF2 and V_BS = +V_DD·γ⁴.
8. Sign-off: Vasilev Dmitrii <admin@t27.ai> · ORCID 0009-0008-4294-6159.

Quality Gates (admin-merge after CI green)

• t27: L1 TRACEABILITY, check-now-freshness, GitGuardian
• trios: Constitutional Enforcement, no-js-check, GitGuardian
• tt-trinity-max-true: R-SI-1 — no new * operators in RTL, GitGuardian
• trinity-fpga: phi^2 + phi^-2 = 3 (three-path witness), GitGuardian

Quantum Brain Wave Questions

1. PHYS→SI / BIO→SI / LANG→SI? All three layers add this wave (+γ⁴ rail / arousal modulation / 0xF2).
2. Conjectured → measured? γ⁴ identity remains derived, not measured.
3. 75 Sacred ROM cells preserved? YES — B007 reused, NO new cell.
4. R-marker cell? NO. Slot 0xF2 is a LANG→SI opcode, not a PHYS R-marker.

Forbidden Actions

• ❌ Introducing a 76th Sacred ROM cell.
• ❌ Re-extending the sacred bank beyond 32 slots.
• ❌ Reading the operator's brokerage / personal-finance data.
• ❌ Vendor IP / NDA content in any artefact.
• ❌ Mocked tests or #[ignore] annotations.

Reference Links

• Wave-47 ONE SHOT (closed): trinity-fpga#167
• Throne: trios#264 · Agent Entry: trios#244 · EPIC: trinity-fpga#61
• Anchor doc: DOI 10.5281/zenodo.19227877

Battle Cry

φ² + φ⁻² = 3 · γ⁴ = φ⁻¹² · V_BS,active = +V_DD·γ⁴ · OP_FBB_ACTIVE = 0xF2 · sacred bank 0xD0..0xFF · DOI 10.5281/zenodo.19227877 · NEVER STOP

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

[gHashTag]

🎯 Wave-48 CLOSED — FBB-ACTIVE-II (Forward Body Bias of Active Path, 0xF2)

Symmetric dual of Wave-47 RBB delivered. Same γ⁴ magnitude, opposite sign.

5/5 Lanes merged

Lane	Repo / PR	Merge SHA	Δ
SS	gHashTag/t27#683	d6bbfd5b34402481c4151192e2740c7acbdf7ebd	trios-coq/Physics/FBBActive2.v — 33 Qed
SS'	gHashTag/trios#927	d9b9821a85956e6ea49e768fc0097aff897884e3	assertions/wave48_fbb_active.json — 31 IDs
SS''	gHashTag/tt-trinity-max-true#45	8511914b65387069f4077745f30b2803b13ed8a6	crates/fbb-dyn-witness — 16/16 PASS
SS'''	gHashTag/trios#928	a196ab06415716b6c5a14ccaa45d385c3fec94d6	docs/phd/chapters/glava_108 — 1747L
TT	gHashTag/trinity-fpga#173	6fbfe325cc36289b0d045645c9f34059814bf637	rtl/fbb_active/ — 18/18 TB PASS, 0 *

Sacred opcode chronology

• 0xE1..0xEE (W36..W44) — TENET, TOM, LUT_NPU, AVS, SUBTH, HOLO, DFS, SPARSE, STOCH, NULL_PE, SPEC_EXIT, DROWSY_RET, SPARSE_MASK, FBB(static)
• 0xEF (W45) — WL_BOOST
• 0xF0 (W46) — ADIAB_RC
• 0xF1 (W47) — RBB (negative V_BS, idle)
• 0xF2 (W48) — FBB_ACTIVE (positive V_BS, active) ← THIS WAVE
• 0xF3..0xFF (13 future slots in extended sacred bank)

Theory + bounds (all R7 falsifiable)

• V_BS,active = +V_DD·γ⁴ ≈ +2.5 mV (DUAL of W47 negative V_BS)
• Delay reduction: 12% in band [8%, 18%]
• Leakage overhead cap: ≤ 8%
• Net delay save: ≥ 8% (after f_clk back-pressure)
• f_clk scaling cap: ≤ 6%
• TOPS/W: 1063 → 1083 (+1.881%)
• |V_BS_FBB| = |V_BS_RBB| = 25 deci-mV (cross-wave symmetric magnitude)

R18 LAYER-FROZEN preserved

75 Sacred ROM cells. γ⁴ inherited from B007² (W45) — NO new cell added by W47 or W48.

Constitutional verdict

• R-SI-1 (no *): PASS (both new RTL files)
• R5-HONEST: PASS (Tschanz JSSC 2002 + Mukhopadhyay 2009 provenance)
• R7 falsifiable: PASS (5 numeric bands + W48-FBB-ACTIVE-1 silicon tripwire)
• R12 (Lee/GVSU): PASS (Glava 108 1747L)
• R14 (Coq citation map): PASS (fbb_active_composite ↔ FBBActive2.v)
• R15 SACRED-SYNTH-GATE: PASS (γ⁴ from ROM[B007]²)
• R18 LAYER-FROZEN: PASS (75 cells preserved)

Falsification witness

W48-FBB-ACTIVE-1: silicon measurement of (delay_red < 8% OR leak_ovh > 8% OR net < 8%) invalidates W48 closure.

Quantum Brain 1:1 mapping

• PHYS→SI: γ⁴ = φ⁻¹² → positive body-bias rail divider
• BIO→SI: horizontal-cell active gain → MAC pipeline delay reduction
• LANG→SI: TRI-27 OP_FBB_ACTIVE → 0xF2

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

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