feat(phd): Glava 79 TENET sparsity-aware LUT (Wave-29 Lever #3)

[gHashTag]

feat(phd): Glava 79 TENET sparsity-aware LUT (Wave-29 Lever #3)

Chapter 79 of the Flos Aureus PhD monograph documenting the Wave-29
TENET Sparsity-Aware LUT lever (Lever #3 from the 2026-05-16 TOPS/W scan).

Closes #851
References trios#845 ONE SHOT

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Summary

New file: docs/phd/chapters/ch79_tenet_sparsity_wave29.tex
Branch: feat/phd-ch79-tenet-sparsity-wave29
Defense date: 2026-06-15

Key contributions:

• Theorem 79.1 (Sparsity-Skip Lower Bound): if S ≥ 0.25 then T_eff ≥ 1.75 × T_base
• Theorem 79.2 (Witness Correctness): post-silicon measurement function meets W-102-A bound
• Opcode OP_SPARSE_SKIP = 0xE1 extending chain 0xDE → 0xDF → 0xE0 → 0xE1
• Coq Lemma tenet_no_star @ gHashTag/t27 PR 🌊 Wave-7 sub-tracker: BR-IO-CHAT-07 async wire-emitter + persistence at-rest falsifiers + Coq 35/0 + 600/600 falsifier #644 @ 367a7ba
• Rust Witness W-102-A (SPARSITY_LOWER_BOUND = 0.25, freeze 2026-08-15)
• Pre-silicon cost model: +0.12 mm² area, +5 mW power → 195 TOPS/W (PRE-SILICON ESTIMATE)

Audit Metrics

Metric	Value	Requirement	Status
Line count (wc -l)	1697	≥ 1500	✅ PASS
\begin{theorem} count	3	≥ 1	✅ PASS
\begin{proof} count	4	≥ 1	✅ PASS
\cite{...} count	40	≥ 2 peer-reviewed	✅ PASS
SPDX Apache-2.0 header	present	required	✅ PASS
Cyrillic in body	0 chars	0 required	✅ PASS
Forbidden words	0 matches	0 required	✅ PASS

Constitutional Verdict

Rule	Status	Evidence
R3 (1500+ lines, ≥2 citations, ≥1 theorem+proof)	✅ PASS	1697 lines, 40 cites, 3 theorems
R5-HONEST (pre-silicon labelling)	✅ PASS	All projections labelled PRE-SILICON ESTIMATE
R6 (zero free parameters)	✅ PASS	Every coefficient cited; Table 79.2
R7 (W-102-A fail-stop)	✅ PASS	§79.6+79.8; SPARSITY_LOWER_BOUND=0.25; freeze 2026-08-15
R8 (author identity)	✅ PASS	Vasilev Dmitrii admin@t27.ai
R12 (Lee/GVSU proof style)	✅ PASS	Def→Thm→Proof→Corollary throughout
R14 (Coq citation map)	✅ PASS	Table 79.6 maps Thm 79.1 → RMarker.v tenet_no_star
R18 (additive only)	✅ PASS	New file + bib entries; no existing files modified
Apache-2.0 SPDX	✅ PASS	Lines 1–2 of chapter file
No-Cyrillic	✅ PASS	0 Cyrillic chars in body

Pinned SHAs

Repository	PR	Commit SHA	Artefact
gHashTag/t27	#644	367a7ba	Coq Lemma tenet_no_star
gHashTag/trios	#850	d96018d2	Verdict schema / tracking
gHashTag/tt-trinity-max-true	#17	1c30aab4	Rust crate tri1-tenet-witnesses

Branch SHA

56f436edc2bee0bd77c2999bd047516ee64172aa

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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]

🛫 FRR-W33-PRE-LANES-001 · OPERATOR LANES T + T'''' · FLIGHT READINESS REVIEW

Document ID: FRR-W33-PRE-LANES-001
Mission: Wave-33 TENET pre-flight · operator's two in-flight agents return verdict
Time: 2026-05-16 01:30 Asia/Bangkok · 2026-05-15 18:30 UTC
Author: Vasilev Dmitrii <admin@t27.ai> · ORCID 0009-0008-4294-6159
T-minus: Lane U RTL design entry · Lane Y Coq theorem entry — both UNBLOCKED
Anchor: φ² + φ⁻² = 3 · γ = φ⁻³ · C = φ⁻¹ · G = π³γ²/φ · DOI 10.5281/zenodo.19227877

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1. As-Flown Configuration

Subsystem	PR	Branch	Lines	Files	State	Identity-gate
Lane T — TENET sparsity-aware RTL controller (OP_SPARSE_SKIP = 0xE1)	trinity-fpga#115	feat/lane-t-tenet-rtl-controller-w29	+530 / -0	4	OPEN	phi^2+phi^-2=3 PASS
Lane T'''' — PhD Glava 79 TENET Sparsity-Aware LUT	trios#852	feat/phd-ch79-tenet-sparsity-wave29	+1814 / -0	2	OPEN	Constitutional Enforcement PASS · Nine Kingdoms PASS · Test PASS
Tracking issue (Lane T)	trinity-fpga#113	—	—	—	OPEN	—
Tracking issue (Lane T'''')	trios#851	—	—	—	OPEN	—

Naming honesty note (R5): both PR titles read "Wave-29" because operator's agents were spawned before the W29→W33 re-slot decision recorded in SCAN-ACK-W28-W33-001. Content is identical to W33 TENET specification (OP_SPARSE_SKIP=0xE1, ≥25% runtime sparsity target, BitNet b1.58-3B harness). The wave number is cosmetic; the silicon contract is W33.

2. Verification Matrix

Item	Spec	Expected	Observed	Rule	Verdict
Trinity identity (PR #115 substance)	φ²+φ⁻²	3	3.000…0	R15/R17	PASS
0xE1 opcode allocation	unique vs 0xD0..0xE0 Sacred ROM	distinct	0xE1 ∉ {0xD0..0xE0}	R4 / Sacred ROM	PASS
PhD Glava 79 length	≥ 1500 lines	observed 1814	+1814 lines	R3	PASS
Bibliography (trios biblio audit)	≥ 150 entries	observed 299	299 ≥ 150	R3	PASS
trios#852 — Constitutional	gate	PASS	PASS	R1/R3	PASS
trios#852 — Nine Kingdoms	gate	PASS	PASS	hive gate	PASS
trios#852 — Test (cargo)	gate	PASS	PASS	R1	PASS
trinity-fpga#115 — Code Format	gate	PASS	PASS	R1	PASS
trinity-fpga#115 — GitGuardian	gate	PASS	PASS	sec	PASS
trinity-fpga#115 — identity 3-path	gate	PASS	PASS	R15	PASS
trinity-fpga#115 — Brain Health Check	gate	infrastructure	FAIL (403 token)	infra	NO-GO infra
trios#852 — Audit (R3/R11/R14 floors)	main_tex+33ch floor	full repo state	FAIL: PR-branch sees 3 ch / no main.tex	R14	NO-GO branch-scope

ICA-001: Brain Health Check on trinity-fpga gets Resource not accessible by integration (HTTP 403) when posting back to PR — that is a GITHUB_TOKEN scope issue in the workflow, not a PR defect. Owner: trinity-fpga infra. Due: before Wave-33-G2 measurement gate.
ICA-002: trios#852 PhD audit floor (expected ≥33 chapters, found 3) reflects the PR branch's narrower checkout view, not a regression on main. Once merged into main with the existing 33 chapters, the floor restores. Workaround: rebase on latest main before audit re-runs.

3. Anomaly → Corrective Action (ICA)

ICA-#	Anomaly	Impact	Corrective Action	Owner	Due
ICA-001	Brain Health Check 403 (PR comment-post) on trinity-fpga#115	LOW (infra noise; not gating substance)	Patch workflow with permissions: pull-requests: write, issues: write or use a PAT secret	trinity-fpga infra	W33-G2
ICA-002	trios#852 audit floor false-fail (branch-scope chapters view)	LOW (resolves on rebase+merge)	Rebase feat/phd-ch79-tenet-sparsity-wave29 onto latest main so all 33 chapters are visible to audit	Lane T'''' agent	T-2h
ICA-003	Both PRs labelled "Wave-29" not "Wave-33"	NIL (cosmetic; content matches W33 TENET)	Either re-title PRs or add post-merge note in wave-history.md	Wave-33 owner	post-merge

4. Constitutional Compliance (R1..R18)

Rule	Statement	Lane T (#115)	Lane T'''' (#852)
R1	Rust/Verilog/Coq segregation	✅ Verilog	✅ LaTeX
R3	≥1500 lines on PhD chapters	n/a	✅ 1814
R4	Numeric constant → .v trace	✅ 0xE1 opcode pending Lane Y	✅ φ²+φ⁻²=3 cited
R5	Honest status	✅ PR is OPEN (not LANDED)	✅ PR is OPEN (not LANDED)
R7	Falsification witness	✅ ≥25% runtime sparsity target	✅ BitNet b1.58-3B harness
R8	Admin@t27.ai author	✅	✅
R14	Coq citation map	🟡 awaits Lane Y proof	✅ cited
R15	φ²+φ⁻²=3 three-path	PASS	PASS
R18	LAYER-FROZEN seal	🟡 post-Lane-U RTL synth	n/a (paper)

4.5. Quantum Brain 1:1 Silicon Mapping Verdict

Mapping	Domain	New cells this lane-pair	R-marker cells	Status
PHYS→SI	physics constants → L0 Sacred ROM	0 (TENET is microarch, not constant)	0	n/a
BIO→SI	brain modules → L2 microcode	sparsity-skip = synaptic pruning analog	0	PASS
LANG→SI	TRI-27 ISA → L1 opcode	+1 (OP_SPARSE_SKIP = 0xE1)	0	PASS

0xE1 extends the sacred opcode range 0xD0..0xE0 → new lawful slot. Lane Y must produce the Coq theorem tenet_skip_sound : forall x, |x| < eps -> skip(x) = 0 before R18 seal.

5. GO / NO-GO Poll

Station	Voice	Vote
Strand I (Math)	identity 3-path on both PRs	GO
Strand II (Cognitive)	PhD Glava 79 1814 lines + 299 biblio entries	GO
Strand III (Lang+HW)	OP_SPARSE_SKIP 0xE1 unique in opcode space	GO
Sacred Synth	Yosys/RTL synth (not yet run on #115)	HOLD-Y (deferred to Lane U synth gate)
Layer Frozen	SHA-256 seals	HOLD-R18 (deferred to post-Lane-U)
Constitutional (trios)	R1/R3/R5/R8 PASS	GO
Infra CI noise (trinity-fpga 403 + audit floor)	ICA-001, ICA-002	WAIVABLE (infra/scope, not substance)
MISSION DIRECTOR	—	GO with ICA-001/ICA-002 waivers · Lane U RTL design + Lane Y Coq theorem UNBLOCKED

6. Active Artifacts

• Lane T PR: feat(lane-t): Wave-29 TENET sparsity-aware RTL controller for OP_SPARSE_SKIP=0xE1 trinity-fpga#115
• Lane T'''' PR: feat(phd): Glava 79 TENET sparsity-aware LUT (Wave-29 Lever #3) #852
• Tracking: Lane T · TENET sparsity-aware RTL controller (OP_SPARSE_SKIP=0xE1) · Wave-29 trinity-fpga#113 · Lane T'''' · PhD Glava 79 · TENET sparsity-aware LUT (Wave-29) · 1500+ lines #851
• Wave-33 army: 🎯 ONE SHOT L-DPC30 — Wave-33 · LEVER #7 TENET UNSTRUCTURED ZERO-SKIP · stacked on W29 2:4 trinity-fpga#112 · 🎯 ONE SHOT L-DPC30 — Wave-33 · LEVER #7 TENET UNSTRUCTURED ZERO-SKIP · dispatch mirror #846
• Throne: 👑 TRINITY HIVE — Queen's Registry & ONE SHOT Dispatch #264
• EPIC: 🧠⚛️🐝 MASTER-EPIC TRI NET: TRI-1 QUANTUM BRAIN 1:1 SILICON · 180 vectors PHYSICAL on main · 80 gates LIVE · 16 sacred opcodes · 75-cell Sacred ROM · R1..R20 · v25.1 BACKFILL COMPLETE · Wave-15-TT-E T-46h trinity-fpga#61
• Agent Entry: 🎯 ONE SHOT — Autonomous Agent Entry Point v2 (live dashboard) #244
• This FRR: /home/user/workspace/frr_w33_pre_lanes_001.md

7. Next-Lane Authorisation (post-FRR)

Lane	Charter	Unblocked by	Action
Lane U	RTL design integration (drop Lane T controller into vsa_matmul datapath)	this FRR	claim via trinity-fpga#112
Lane Y	Coq theorem tenet_skip_sound (consumes 0xE1 opcode contract)	this FRR	claim via trinity-fpga#112
Lane S	TOPS-measurement harness sim @ TT/FF/SS	Wave-32 #111 G2 closure	held until W32 lands

8. Closing Anchor

phi^2 + phi^-2 = 3 · gamma = phi^-3 · C = phi^-1 · G = pi^3 gamma^2 / phi
0xE1 OP_SPARSE_SKIP allocated · 3-STRAND DNA · TRI NET · DOI 10.5281/zenodo.19227877
NEVER STOP