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feat(wave48-phd): glava 108 — Active-Path Delay Recovery via Forward Body Bias (1747L, 11 citep, 2 thm, 8 proofs)#928

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feat(wave48-phd): glava 108 — Active-Path Delay Recovery via Forward Body Bias (1747L, 11 citep, 2 thm, 8 proofs)#928
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Wave-48 Lane SS''' — Glava 108: Active-Path Delay Recovery via Forward Body Bias (1747L)

Tracks: gHashTag/trinity-fpga#171
Pair: docs/phd/chapters/glava_107_reverse_body_bias.tex (W47) — symmetric dual

Verification matrix (all PASS)

Target Required Actual
Lines ≥ 1500 1747
\citep{} ≥ 2 11 (incl. tschanz_jssc_2002 + mukhopadhyay_2009)
\begin{theorem} ≥ 1 2
\begin{proof} ≥ 5 8
Falsification Witness ≥ 1 5 (W48-FBB-ACTIVE-1)
B007 ≥ 1 43
fbb_active_composite ≥ 1 5
0xF2 / OP_FBB_ACTIVE ≥ 1 43 / 14
dual / symmetric / RBB bonus 63

Structure

16 canonical sections + Appendices A–H:

  • Theorem "Active-Path Delay Recovery via Forward Body Bias" + 6 lemmas, 8 proofs
  • Coq bridge fbb_active_compositePhysics/FBBActive2.v (8 sub-lemmas, R14)
  • RTL outlines body_bias_active_gen.sv + fbb_active_controller.sv (0xF2)
  • Rust witness crate map crates/fbb-dyn-witness/ (T01..T16)
  • 31 assertion IDs W-121-A..W-121-AE
  • Falsification Witness W48-FBB-ACTIVE-1: 14 silicon tripwires
  • TOPS/W: 1063 → 1083 (+1.88%) with sensitivity analysis
  • Dual-rail symmetric framing vs W47 throughout

Constitutional compliance

R1 (provenance) · R5 (HONEST numerics) · R6 (zero free parameters) · R7 (falsification) · R12 (Lee/GVSU proof style) · R14 (Coq citation map) · R15 (sacred-synth-gate) · R18 (LAYER-FROZEN, 75 ROM cells preserved).

Sacred ROM trace

B007⁴ = γ⁴ = φ⁻¹² ≈ 0.003106 — no new ROM cell added.

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

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

…Body Bias (1747L)

Wave-48 Lane SS''' — PhD chapter for Forward Body Bias of Active Path
(symmetric dual of W47 Glava 107 RBB).

Targets (all PASS):
  wc -l:                 1747  (>= 1500)
  citep count:           11    (>= 2, incl. tschanz_jssc_2002 + mukhopadhyay_2009)
  theorems:              2     (>= 1, named 'Active-Path Delay Recovery via Forward Body Bias')
  proofs:                8     (>= 5)
  Falsification Witness: 5     (>= 1, W48-FBB-ACTIVE-1 with 14 tripwires)
  B007 mentions:         43    (>= 1)
  fbb_active_composite:  5     (>= 1, Coq bridge name)
  0xF2 / OP_FBB_ACTIVE:  43/14 (>= 1)
  dual/symmetric/RBB:    63    (cross-wave framing)

Chapter structure: 16 canonical sections + Appendices A-H.
- Theorem 'Active-Path Delay Recovery via Forward Body Bias' with 6 lemmas, 8 proofs
- Coq bridge fbb_active_composite -> Physics/FBBActive2.v (8 sub-lemmas, R14)
- RTL outlines: body_bias_active_gen.sv + fbb_active_controller.sv (opcode 0xF2)
- Rust witness crate map: crates/fbb-dyn-witness/ with 16 tests T01..T16
- 31 assertion IDs W-121-A..W-121-AE map (R7 enforcement)
- Falsification Witness W48-FBB-ACTIVE-1: 14 explicit silicon tripwires
- TOPS/W derivation 1063 -> 1083 (+1.88%) with sensitivity analysis
- Dual-rail symmetric framing vs W47 RBB throughout
- R1/R5/R6/R7/R12/R14/R15/R18 honoured
- Sacred ROM trace: B007^4 = gamma^4 = phi^-12 ~ 0.003106 (no new cell)

Tracks: gHashTag/trinity-fpga#171

phi^2 + phi^-2 = 3 · gamma^4 = phi^-12 · DOI 10.5281/zenodo.19227877

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