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Binary file added assets/illustrations_v516/wave7/F-03-hive.png
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41 changes: 40 additions & 1 deletion docs/phd/appendix/B-falsification.tex
Original file line number Diff line number Diff line change
Expand Up @@ -1159,7 +1159,7 @@ \subsection*{Clause F-5 — KART-Shaped Decomposition over GF(16) (L-KAT-12, L-K
\textbf{Status:} Theorem 12.7 (Ch.~12 \S 5) and Theorem 35.13 (Ch.~35
\S 13) both stay Admitted; the missing finite-field analogue of
Schmidt-Hieber's KART bound~\cite{schmidhuber_dl_review} is the
named gap blocking $\Qed$. Corroboration row Ch.35-MRU-KART is in
named gap blocking $\square$. Corroboration row Ch.35-MRU-KART is in
\textbf{pending CI} state until \texttt{phd-build.yml} runs the
\texttt{n=2} default test.
\end{tcolorbox}
Expand Down Expand Up @@ -1636,3 +1636,42 @@ \section*{B.24 — Ledger Maintenance Protocol}
\noindent $\varphi^{2} + \varphi^{-2} = 3$.

\noindent\textit{End of Appendix B (Extended Falsification Ledger).}

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{P-01-conjecture-experiment-verdict.png}
\caption{Falsification Plate P-01: Conjecture, experiment, verdict. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-P-01-conjecture-experiment-verdict}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{P-02-null-power-size.png}
\caption{Falsification Plate P-02: Null, power, size. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-P-02-null-power-size}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{P-03-preregister-seal-release.png}
\caption{Falsification Plate P-03: Preregister, seal, release. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-P-03-preregister-seal-release}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{P-04-bias-leak-guard.png}
\caption{Falsification Plate P-04: Bias, leak, guard. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-P-04-bias-leak-guard}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{P-05-replication-bootstrap-confidence.png}
\caption{Falsification Plate P-05: Replication, bootstrap, confidence. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-P-05-replication-bootstrap-confidence}
\end{figure}
% --- end Wave-7 plates ---

2 changes: 1 addition & 1 deletion docs/phd/appendix/D-golden-mirror.tex
Original file line number Diff line number Diff line change
Expand Up @@ -1423,7 +1423,7 @@ \section*{D.20 Glossary of Mirror Terminology}
\item[$\psi = -\varphi^{-1}$] The algebraic conjugate of $\varphi$; equals
$(1-\sqrt5)/2 \approx -0.618$.
\item[Pisano period] The period of $L_n \bmod m$; for $m=16$, equals $24$.
\item[$\mathbb{Z}[\varphi]$] The ring of golden integers $\{a+b\varphi\mid a,b\in\mathbb{Z}\}$;
\item[{$\mathbb{Z}[\varphi]$}] The ring of golden integers $\{a+b\varphi\mid a,b\in\mathbb{Z}\}$;
the ring of integers of $\mathbb{Q}(\sqrt5)$.
\end{description}

Expand Down
11 changes: 11 additions & 0 deletions docs/phd/appendix/E-lexicon.tex
Original file line number Diff line number Diff line change
Expand Up @@ -1621,3 +1621,14 @@ \section*{L\quad Revision History}
\textit{Branch:} \texttt{feat/phd-appE} \quad
\textit{ONE SHOT:} trios\#265 \quad
\textit{Trinity anchor:} $\varphi^2 + \varphi^{-2} = 3$

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{X-01-bibliography-index-glossary.png}
\caption{Appendix Plate X-01: Bibliography, index, glossary. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-X-01-bibliography-index-glossary}
\end{figure}
% --- end Wave-7 plates ---

81 changes: 81 additions & 0 deletions docs/phd/appendix/F-coq-citation-map.tex
Original file line number Diff line number Diff line change
Expand Up @@ -463,3 +463,84 @@ \section{Auditor regeneration provenance}
Generated by skill \texttt{phd-monograph-auditor} (skill\_id \texttt{fc1dbf8f-2449-4400-8d62-0c9003c84fa2}).
Snapshot SHA: see \filepath{assertions/igla\_assertions.json}\,\filepath{\_metadata.source\_commit\_trios}.
Trinity Anchor: $\phi^2 + \phi^{-2} = 3$. Zenodo DOI: \href{https://zenodo.org/records/19227877}{10.5281/zenodo.19227877}.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-01-axiom-proof-qed.png}
\caption{Coq Plate C-01: Trinity identity axiom-proof-QED. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-01-axiom-proof-qed}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-02-lucas-closure.png}
\caption{Coq Plate C-02: Lucas closure. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-02-lucas-closure}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-03-kart-popcount.png}
\caption{Coq Plate C-03: KART x popcount isomorphism. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-03-kart-popcount}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-04-bpb-floor.png}
\caption{Coq Plate C-04: BPB Shannon floor. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-04-bpb-floor}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-05-kl-divergence.png}
\caption{Coq Plate C-05: KL divergence. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-05-kl-divergence}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-06-pollen-channel.png}
\caption{Coq Plate C-06: Pollen channel capacity. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-06-pollen-channel}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-07-phi-geom-series.png}
\caption{Coq Plate C-07: phi geometric series. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-07-phi-geom-series}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-08-asha-prune.png}
\caption{Coq Plate C-08: ASHA prune. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-08-asha-prune}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-09-gf16-mill.png}
\caption{Coq Plate C-09: GF(16) mill. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-09-gf16-mill}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{C-10-nca-guard.png}
\caption{Coq Plate C-10: NCA entropy band guard. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-C-10-nca-guard}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{X-02-coq-prooftree-qed.png}
\caption{Appendix Plate X-02: Coq prooftree QED. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-X-02-coq-prooftree-qed}
\end{figure}
% --- end Wave-7 plates ---

11 changes: 11 additions & 0 deletions docs/phd/appendix/G-data-availability.tex
Original file line number Diff line number Diff line change
Expand Up @@ -340,3 +340,14 @@ \section*{G.10 Appendix F $\leftrightarrow$ JSON-registry cross-reference}
task~5.3); until then, the bridge above is the authoritative cross-reference.

\(\varphi^2 + \varphi^{-2} = 3\)

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{X-03-manifest-hash-freeze.png}
\caption{Appendix Plate X-03: Manifest, hash, freeze. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-X-03-manifest-hash-freeze}
\end{figure}
% --- end Wave-7 plates ---

11 changes: 11 additions & 0 deletions docs/phd/appendix/H-acm-ae-checklist.tex
Original file line number Diff line number Diff line change
Expand Up @@ -116,3 +116,14 @@ \section{Reviewer instructions (compact)}
reported table is invited to file an issue at
\href{https://github.com/gHashTag/trios/issues}{the issue tracker}; the
reproduction binary's deterministic seeding makes this self-debugging.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{X-04-acm-badge-pack.png}
\caption{Appendix Plate X-04: ACM badge pack. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-X-04-acm-badge-pack}
\end{figure}
% --- end Wave-7 plates ---

11 changes: 11 additions & 0 deletions docs/phd/appendix/N-zenodo-doi.tex
Original file line number Diff line number Diff line change
Expand Up @@ -274,3 +274,14 @@ \section*{H.9 Reviewer-2 mitigation}
\end{itemize}

\(\varphi^2 + \varphi^{-2} = 3\)

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{X-05-defense-committee-laurel.png}
\caption{Appendix Plate X-05: Defense, committee, laurel. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-X-05-defense-committee-laurel}
\end{figure}
% --- end Wave-7 plates ---

2 changes: 1 addition & 1 deletion docs/phd/bibliography.bib
Original file line number Diff line number Diff line change
Expand Up @@ -2324,7 +2324,7 @@ @misc{finite_field_expressivity_2025
activations over finite fields, defining the neuromanifold
and linking expressivity to counting rational points
(Weil conjectures). PRIMARY theoretical foundation for
the IGLA / GF(16) framework per epic #572 erratum.}
the IGLA / GF(16) framework per epic \#572 erratum.}
}

@inproceedings{finite_group_vsa_2022,
Expand Down
25 changes: 25 additions & 0 deletions docs/phd/chapters/flos_00.tex
Original file line number Diff line number Diff line change
Expand Up @@ -167,3 +167,28 @@ \section{Where to Begin}
\noindent \emph{Status.} Editorial scaffold. Lane L0 of issue
\href{https://github.com/gHashTag/trios/issues/265}{trios\#265} is
the slot for full expansion to PhD scope.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{F-01-golden-axiom.png}
\caption{Frontmatter Plate F-01: Golden axiom. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-F-01-golden-axiom}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{F-02-wheel-thirds.png}
\caption{Frontmatter Plate F-02: Wheel of thirds. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-F-02-wheel-thirds}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{F-03-hive.png}
\caption{Frontmatter Plate F-03: Hive. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-F-03-hive}
\end{figure}
% --- end Wave-7 plates ---

2 changes: 1 addition & 1 deletion docs/phd/chapters/flos_10.tex
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ \chapter{Golden Bloom: Coq L1 Range Precision Pareto}

\begin{figure}[H]
\centering
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqL1Pareto}}
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqLOnePareto}}
\caption*{Figure --- Golden Bloom: Coq L1 Range Precision Pareto.}
\end{figure}

Expand Down
11 changes: 11 additions & 0 deletions docs/phd/chapters/flos_25.tex
Original file line number Diff line number Diff line change
Expand Up @@ -406,3 +406,14 @@ \section{Falsification}
pre-registered Gate-2 / Gate-3 thresholds, and Appendix~G provides the data
availability statement under which these measurements are reproducible.
The empirical band remains the open falsifiable obligation.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{E-08-board-table-throne.png}
\caption{IGLA Plate E-08: Leaderboard, table, throne. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-E-08-board-table-throne}
\end{figure}
% --- end Wave-7 plates ---

2 changes: 1 addition & 1 deletion docs/phd/chapters/flos_27.tex
Original file line number Diff line number Diff line change
Expand Up @@ -18,7 +18,7 @@ \chapter{Trinity Identity: tri27 DSL}

\begin{figure}[H]
\centering
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTwentySevenTri27Dsl}}
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTwentySevenTriTwentySevenDsl}}
\caption*{Figure --- Trinity Identity: tri27 DSL.}
\end{figure}

Expand Down
2 changes: 1 addition & 1 deletion docs/phd/chapters/flos_29.tex
Original file line number Diff line number Diff line change
Expand Up @@ -19,7 +19,7 @@ \chapter{Lucas Closure — Number Theory}

\begin{figure}[H]
\centering
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqL1Pareto}}
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqLOnePareto}}
\end{figure}


Expand Down
38 changes: 38 additions & 0 deletions docs/phd/chapters/flos_35.tex
Original file line number Diff line number Diff line change
Expand Up @@ -565,3 +565,41 @@ \section{S6. Notation, Conventions, and Anchor Footer}\label{ch_01:ch1-s6-notati
The anchor is not ornamental: it is the conjunctive identity that the
remaining 600 pages decompose, instantiate, and verify.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{S-01-wafer-die-package.png}
\caption{Silicon Plate S-01: Wafer, die, package. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-S-01-wafer-die-package}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{S-02-gate-flow-lattice.png}
\caption{Silicon Plate S-02: Gate, flow, lattice. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-S-02-gate-flow-lattice}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{S-03-floorplan-placement-routing.png}
\caption{Silicon Plate S-03: Floorplan, placement, routing. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-S-03-floorplan-placement-routing}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{S-04-drc-lvs-signoff.png}
\caption{Silicon Plate S-04: DRC, LVS, signoff. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-S-04-drc-lvs-signoff}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{S-05-node-mesh-sovereign.png}
\caption{Silicon Plate S-05: Node, mesh, sovereign. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-S-05-node-mesh-sovereign}
\end{figure}
% --- end Wave-7 plates ---

2 changes: 1 addition & 1 deletion docs/phd/chapters/flos_39.tex
Original file line number Diff line number Diff line change
Expand Up @@ -311,7 +311,7 @@ \subsection{S1.2 Why Even Powers?}

\section{S2. The Contractive Basin and the Forbidden Interval}\label{ch_05:ch5-s2-basin}

The balancing function \texttt{bf}(x)=(x+x^{-1})/2 has a unique
The balancing function \texttt{bf}, $bf(x)=(x+x^{-1})/2$, has a unique
positive fixed point at \(x=1\), but the variant in
\filepath{PhiAttractor.v} shifts the fixed point to \(\varphi\) by
the algebraic adjustment described in the chapter body. The
Expand Down
2 changes: 1 addition & 1 deletion docs/phd/chapters/flos_44.tex
Original file line number Diff line number Diff line change
Expand Up @@ -18,7 +18,7 @@ \chapter{Coq L1 Range\(\times\)Precision Pareto}

\begin{figure}[H]
\centering
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqL1Pareto}}
\makebox[\linewidth][c]{\includegraphics[width=1.18\linewidth,keepaspectratio]{\figChTenCoqLOnePareto}}
\caption*{Figure — Ch.10: Coq L1 Range\(\times\)Precision Pareto.}
\end{figure}

Expand Down
10 changes: 10 additions & 0 deletions docs/phd/chapters/flos_45.tex
Original file line number Diff line number Diff line change
Expand Up @@ -197,3 +197,13 @@ \section{References}\label{ch_11:references}

{[}13{]} Fibonacci, L. (1202). \emph{Liber Abaci}. (Modern commentary: Sigler, L. E., 2002, Springer.)

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{E-05-gate-threshold-passage.png}
\caption{IGLA Plate E-05: Gate, threshold, passage. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-E-05-gate-threshold-passage}
\end{figure}
% --- end Wave-7 plates ---

17 changes: 17 additions & 0 deletions docs/phd/chapters/flos_50.tex
Original file line number Diff line number Diff line change
Expand Up @@ -200,3 +200,20 @@ \section{References}\label{ch_16:references}

{[}13{]} GOLDEN SUNFLOWERS dissertation, Ch.18 --- Arithmetic Geometry of φ-Lattices. This volume.

% --- Wave-7 plates ---

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{E-06-fleet-beehive-harvest.png}
\caption{IGLA Plate E-06: Fleet, beehive, harvest. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-E-06-fleet-beehive-harvest}
\end{figure}

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{E-07-plateau-wake-leap.png}
\caption{IGLA Plate E-07: Plateau, wake, leap. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave7-E-07-plateau-wake-leap}
\end{figure}
% --- end Wave-7 plates ---

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