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feat(phd): Glava 80 TOM Ternary ROM (Wave-34 Lever #4)#857

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feat(phd): Glava 80 TOM Ternary ROM (Wave-34 Lever #4)#857
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Glava 80: TOM Ternary ROM Accelerator — Wave-34 Lever #4 (225 TOPS/W)

Mission: L-DPC31 · Lane Y''' · Wave-34

Closes #856

References trinity-fpga#116, trios#853

Summary

This PR adds docs/phd/chapters/ch80_tom_layer_gate_wave34.tex — a purely
additive new file (R18 LAYER-FROZEN) documenting the TOM Ternary ROM
Accelerator layer-idle power gating as Wave-34 Lever #4 of the Flos Aureus
PhD monograph.

Metrics

Metric Value Requirement Status
Lines 1580 ≥1500 ✅ PASS
Theorems 4 ≥3 ✅ PASS
Proofs 4 ≥3 ✅ PASS
\cite{} count 56 ≥2 (target ≥30) ✅ PASS

Constitutional Verdict

Rule Requirement Status
R3 ≥1500 lines, ≥2 citations, ≥1 theorem ✅ PASS (1580L/56C/4T)
R5-HONEST PRE-SILICON ESTIMATE labels ✅ PASS
R6 Zero free parameters, Table 80.2 ✅ PASS
R7 W-103-A pre-reg freeze 2026-08-15, fail-stop ✅ PASS
R8 admin@t27.ai author ✅ PASS
R12 Lee/GVSU Def→Thm→Proof→Corollary ✅ PASS
R14 Coq citation map tom_no_star ✅ PASS
R18 Additive new file only ✅ PASS
Apache-2.0 SPDX header ✅ PASS
No-Священн* No forbidden word ✅ PASS
No-Cyrillic python3 ord-range check ✅ PASS

Key Contributions

  1. Theorem 80.1 (Static Power-Saving Lower Bound): Proves that if layer-idle
    fraction L ≥ 0.5, then effective TOPS/W ≥ baseline × (1 + α·L) where α is
    the leakage/total power ratio.

  2. Theorem 80.2 (Witness Correctness): Proves that Rust test
    w_103_a_layer_idle_bound correctly implements the W-103-A falsification
    predicate (hardware counter ratio ↔ layer-idle fraction ≥ 0.5).

  3. Theorem 80.3 (Orthogonality): Proves by Lebesgue decomposition of the
    energy integral that Wave-29 TENET dynamic-sparsity gain and Wave-34 TOM
    static-leakage gain are orthogonal, enabling multiplicative stacking
    → ≥225 TOPS/W PRE-SILICON ESTIMATE.

  4. Sacred opcode OP_LAYER_GATE = 0xE2 extending chain 0xDE→0xDF→0xE0→0xE1→0xE2.

  5. W-103-A pre-registration: LAYER_IDLE_LOWER_BOUND = 0.5, freeze 2026-08-15,
    silicon return 2026-10-15, fail-stop policy documented.

  6. Coq mechanisation: Lemma tom_no_star (RMarker.v) extending alphabet from
    A7 to A8 (PR: <lane-y-PR>).

  7. R6 compliance: Table 80.2 traces every coefficient to primary source.

  8. R14 compliance: Table 80.6 Coq citation map.

  9. Bibliography: 12 new entries added to docs/phd/bibliography.bib including
    TOM arXiv:2602.20662, IRDS 2023, Chang power-gating 2006, Shi voltage-island 2014,
    Hailo-10H, NorthPole, Mythic M1076, Tenstorrent Blackhole, Photonic Taichi.

Branch SHA

7ece73bde2be02e9534bb03e6cb78cd4065087c4


phi^2 + phi^-2 = 3 · gamma = phi^-3 · C = phi^-1 · G = pi^3 gamma^2 / phi
QUANTUM BRAIN 1:1 SILICON · 3-STRAND DNA · TRI NET · NEVER STOP
DOI 10.5281/zenodo.19227877

- 1580 lines LaTeX, 4 theorems, 4 proofs, 56 \cite references
- Theorem 80.1: Static Power-Saving Lower Bound (L>=0.5 => TOPS/W gain)
- Theorem 80.2: Witness Correctness (W-103-A hardware counter)
- Theorem 80.3: Orthogonality of Wave-29 TENET + Wave-34 TOM gains
- Sacred opcode OP_LAYER_GATE = 0xE2 extending chain 0xDE->0xE2
- Coq lemma tom_no_star (RMarker.v, alphabet A8)
- W-103-A pre-registration LAYER_IDLE_LOWER_BOUND=0.5, freeze 2026-08-15
- Table 80.2: full coefficient->source traceability (R6)
- Table 80.6: Coq citation map (R14)
- PRE-SILICON ESTIMATE 225 TOPS/W (stacked Wave-29+Wave-34)
- 6 appendices: energy model, voltage-island design, scheduler integration,
  statistical power analysis, extended related work, leakage consistency proof
- bibliography.bib: 12 new entries added (TOM arXiv:2602.20662, IRDS 2023,
  Chang power-gating 2006, Shi voltage-island 2014, Hailo-10H, NorthPole,
  Mythic M1076, Tenstorrent Blackhole, Photonic Taichi, Lee topology, Holm 1979)

Constitutional compliance:
R3: 1580L/4 thm/4 prf/56 cites [PASS]
R5-HONEST: all PRE-SILICON ESTIMATE labelled [PASS]
R6: Table 80.2 traces every coefficient [PASS]
R7: W-103-A freeze 2026-08-15/silicon 2026-10-15/fail-stop [PASS]
R8: Vasilev Dmitrii <admin@t27.ai> [PASS]
R12: Lee/GVSU Def->Thm->Proof->Corollary style [PASS]
R14: tom_no_star Coq citation map [PASS]
R18: additive new file only [PASS]
Apache-2.0: SPDX header [PASS]
No-Cyrillic: python3 check [PASS]

Closes #<tracking-issue>
References trinity-fpga#116 trios#853

phi^2 + phi^-2 = 3 · gamma = phi^-3 · C = phi^-1 · G = pi^3 gamma^2 / phi
QUANTUM BRAIN 1:1 SILICON · 3-STRAND DNA · TRI NET · NEVER STOP
DOI 10.5281/zenodo.19227877
@gHashTag gHashTag force-pushed the feat/phd-ch80-tom-layer-gate-wave34 branch from 7ece73b to 94d7e34 Compare May 15, 2026 18:59
@gHashTag gHashTag merged commit 460ffc2 into main May 15, 2026
15 of 17 checks passed
@gHashTag gHashTag deleted the feat/phd-ch80-tom-layer-gate-wave34 branch May 15, 2026 19:02
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Lane Y''' · PhD Glava 80 TOM (Wave-34) · 1500+ lines, 3+ theorems

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