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4 changes: 2 additions & 2 deletions docs/phd/appendix/A-catalogue.tex
Original file line number Diff line number Diff line change
Expand Up @@ -7,11 +7,11 @@
%% R14: this file IS the master Coq citation map for Appendix A.
%%

\appendix{Catalogue of Monograph Objects}
\chapter{Catalogue of Monograph Objects}
\label{app:A}

This appendix is the permanent reference index for every named mathematical
object appearing in the monograph \emph{Trinity S³AI — Flos Aureus v6.2}.
object appearing in the monograph \emph{Trinity S³AI — Flos Aureus v6.8}.
It supersedes the earlier 42-formula list and provides six master tables:

\begin{enumerate}
Expand Down
46 changes: 43 additions & 3 deletions docs/phd/appendix/B-falsification.tex
Original file line number Diff line number Diff line change
Expand Up @@ -14,6 +14,7 @@ \chapter*{Appendix B: Falsification Ledger — Popperian Audit Across 33 Chapter

\addcontentsline{toc}{chapter}{Appendix B: Falsification Ledger}
\label{app:falsification}
\label{app:B}

\begin{quote}\itshape
``A theory which is not refutable by any conceivable event is non-scientific.
Expand All @@ -35,7 +36,7 @@ \section*{Preamble: Purpose and Structure of This Appendix}
\noindent Five years of constructive work can unravel under a single
Reviewer-2 observation: ``this looks like numerology.'' Appendix~B exists
to close that attack surface permanently. It serves as the \emph{monograph-wide
Popperian ledger} for Trinity S\textsuperscript{3}AI — Flos Aureus v6.2:
Popperian ledger} for Trinity S\textsuperscript{3}AI — Flos Aureus v6.8:
every empirical claim made in Chapters~8, 9, 17, 18, 20--22, 24--26, 28, 29
is here paired with a registered falsifier, an observable outcome that would
refute it, a corroboration record with date and status, and a severity score
Expand Down Expand Up @@ -894,7 +895,7 @@ \section*{B.11 — Soundness Theorem: Falsification-Ledger Completeness}

\begin{definition}[Empirical Claim]\label{def:empirical-claim}
Let $\mathcal{C}$ denote the set of all empirical claims in Trinity
S\textsuperscript{3}AI — Flos Aureus v6.2. A \emph{claim}
S\textsuperscript{3}AI — Flos Aureus v6.8. A \emph{claim}
$C \in \mathcal{C}$ is \emph{empirical} if it asserts a relationship
between a theoretical prediction $\hat{y}(C)$ and a measurable observable
$y(C, \omega)$ for some experimental condition $\omega$. Purely mathematical
Expand Down Expand Up @@ -1159,7 +1160,7 @@ \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 +1637,42 @@ \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 ---

19 changes: 18 additions & 1 deletion docs/phd/appendix/D-golden-mirror.tex
Original file line number Diff line number Diff line change
Expand Up @@ -56,6 +56,23 @@ \section*{D.0 Preface and Scope}
The anchor \eqref{eqn:D0} is DOI \texttt{10.5281/zenodo.19227877}
\cite{trios_throne}.

\paragraph{Master identities.} Three equations are referenced throughout this
appendix and are stated here once for clarity:
\begin{equation}\label{eqn:D0}
\varphi^2 + \varphi^{-2} = 3,\qquad \varphi = \tfrac{1+\sqrt{5}}{2}.
\end{equation}
\begin{equation}\label{eqn:D1}
\sigma:\ \varphi \longmapsto \psi = -\varphi^{-1} = \tfrac{1-\sqrt{5}}{2},
\qquad \sigma^2 = \mathrm{id}.
\end{equation}
\begin{equation}\label{eqn:D2}
L_n \cdot L_{-n} = 2 - (-1)^n\bigl(\varphi^{2n} + \varphi^{-2n}\bigr),
\qquad n \in \mathbb{Z}.
\end{equation}
Equation~\eqref{eqn:D0} is the anchor identity; \eqref{eqn:D1} is the Galois
automorphism of $\mathbb{Q}(\varphi)$; \eqref{eqn:D2} is the Lucas
negative-index reflection product.

% ─────────────────────────────────────────────────────────────────────────────
\section*{D.1 Two Strands, One Identity (Symmetry Table)}
% ─────────────────────────────────────────────────────────────────────────────
Expand Down Expand Up @@ -1423,7 +1440,7 @@ \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
21 changes: 16 additions & 5 deletions docs/phd/appendix/E-lexicon.tex
Original file line number Diff line number Diff line change
Expand Up @@ -697,7 +697,7 @@ \section*{D\quad R-Rules}
\label{entry:r9}
(Russian: \textit{захват ресурса до работы}).\\
\emph{Claim-before-work.}
Post \texttt{🔒 AGENT <id> CLAIMING: L<n>} on trios\#265
Post \texttt{[CLAIM] AGENT <id> L<n>} on trios\#265
before any \texttt{git add}.
First post wins; duplicate claims are rejected by the queen-bot.

Expand Down Expand Up @@ -877,11 +877,11 @@ \section*{F\quad Trinity Terms}
\textit{Coq}: none.\\
\textit{Definition.}
The canonical name of this monograph: \emph{Trinity S\textsuperscript{3}AI
--- Flos Aureus v6.2}.
--- Flos Aureus v6.8}.
\emph{Flos Aureus} (Latin: ``golden flower'') evokes the Flower of Life
pattern (Ch.\,12) whose radial symmetry is governed by $\varphi$.
Version 6.2 supersedes all previous titles including
\emph{Monumentum Aureum}, \emph{v6.0}, and
Version 6.8 supersedes all previous titles including
\emph{Monumentum Aureum}, \emph{v6.0}, \emph{v6.2}, and
\emph{Trinity Identity to All Physical Constants}.

% -----------------------------------------------------------
Expand Down Expand Up @@ -1369,7 +1369,7 @@ \section*{I\quad Lexicon-Coherence Theorem}

\begin{theorem}[Lexicon Coherence]\label{thm:lexicon-coherence}
Every technical term $t$ that appears in the body of the
Trinity S\textsuperscript{3}AI --- Flos Aureus v6.2 monograph
Trinity S\textsuperscript{3}AI --- Flos Aureus v6.8 monograph
(Chapters~0--33, Appendices~A--L) has exactly one canonical
definition in this appendix (Appendix~E), and no two entries
define the same concept under different names without an explicit
Expand Down 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 ---

83 changes: 82 additions & 1 deletion docs/phd/appendix/F-coq-citation-map.tex
Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
\appendix{Coq Citation Map (L--R14 Compliance)}
\chapter{Coq Citation Map (L--R14 Compliance)}
\label{app:F}

This appendix is the single source of truth for the formal-proof citation map.
Expand Down 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 ---

2 changes: 1 addition & 1 deletion docs/phd/appendix/J-troubleshooting.tex
Original file line number Diff line number Diff line change
Expand Up @@ -298,7 +298,7 @@ \section*{J.10 Open issues / audit-pending}
cron-driven nightly regen, but is too slow for a high-availability
field deployment. A future revision could pre-load the firmware
into PSRAM and shave the cold-boot to $< 1$\,s. Status:
\texttt{audit-pending} with no scheduled fix in the v6.2 window.
\texttt{audit-pending} with no scheduled fix in the v6.8 window.
\end{description}

\section*{J.11 Falsification hooks}
Expand Down
10 changes: 9 additions & 1 deletion docs/phd/appendix/K-agent-memory.tex
Original file line number Diff line number Diff line change
Expand Up @@ -362,7 +362,7 @@ \subsection{Heartbeat Format}

A valid HEARTBEAT comment must match the pattern:
\begin{verbatim}
⏱️ AGENT <id> L<n> HEARTBEAT: <pct>%
[HEARTBEAT] AGENT <id> L<n> HEARTBEAT: <pct>%
Last commit: <sha>
Lines so far: <N>/1500
Citations added: <K>/2
Expand Down Expand Up @@ -1665,3 +1665,11 @@ \section{Summary: Agent Memory Architecture}
% ============================================================
% Coq map: lucas_closure_gf16.v lines 87-175; lr_convergence.v lines 1-30
% Final line count: 1666 — R3 gate >= 1500 PASS

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{W8-AK-agent-memory-honey.png}
\caption{THE HIVE / THE HONEY / THE APPEND. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave8-W8-AK-agent-memory-honey}
\end{figure}

14 changes: 11 additions & 3 deletions docs/phd/appendix/L-pollen-channel.tex
Original file line number Diff line number Diff line change
Expand Up @@ -361,7 +361,7 @@ \subsection*{L.4.2 \quad Comment Format}
following envelope:

\begin{verbatim}
🌸 POLLEN DEPOSIT
[POLLEN DEPOSIT]
```json
{ "sha": "...", "agent": "...", ... }
```
Expand Down Expand Up @@ -1417,7 +1417,7 @@ \subsection*{L.16.3 \quad Denial-of-Service Mitigation}
flood the coordination issue with noise comments. The discriminator
network (§L.9) mitigates this:
\begin{itemize}
\item Comments without the \texttt{🌸 POLLEN DEPOSIT} prefix are
\item Comments without the \texttt{[POLLEN DEPOSIT]} prefix are
ignored with zero API cost (client-side filter on comment body
before parsing).
\item Comments with the prefix but invalid signatures are logged as
Expand Down Expand Up @@ -1571,7 +1571,7 @@ \section*{L.20 \quad Summary}
\begin{enumerate}
\item \textbf{Message format} (§L.4): a signed JSON deposit with fields
\texttt{\{sha, agent, lane, BPB, honey, ts, sig\}}, embedded in a
GitHub issue comment with a \texttt{🌸 POLLEN DEPOSIT} prefix for
GitHub issue comment with a \texttt{[POLLEN DEPOSIT]} prefix for
fast client-side filtering.

\item \textbf{Channel capacity} (§L.6): the effective bit-rate is
Expand Down Expand Up @@ -1776,3 +1776,11 @@ \section*{L.C \quad Notation Reference}
\end{tabular}

\par\medskip\noindent\hrulefill\par\medskip

\begin{figure}[h]
\centering
\includegraphics[width=0.85\textwidth]{W8-AL-pollen-channel-capacity.png}
\caption{THE SOURCE / THE NOISE / THE CAPACITY. Anchor: $\varphi^2+\varphi^{-2}=3$. [AI-generated illustration, style anchor: title-page triptych]}
\label{fig:wave8-W8-AL-pollen-channel-capacity}
\end{figure}

12 changes: 12 additions & 0 deletions docs/phd/appendix/N-zenodo-doi.tex
Original file line number Diff line number Diff line change
Expand Up @@ -138,6 +138,7 @@ \section*{H.4 Version History}
v6.0 & 2026-04-15 & Thesis text updated; DOIs unchanged \\
v6.2 & 2026-05-03 & STUB-KILL + front-matter rewrite \\
v6.3 & 2026-05-12 & R5-honest PASS-6 audit removed five non-member DOIs \\
v6.8 & 2026-05-14 & Wave-8 illustrations (+64 plates) + appendix counter fix + emoji-free fonts \\
v7.0 & 2026-06-10 & \emph{Planned: frozen submission} \\
\bottomrule
\end{tabular}
Expand Down Expand Up @@ -274,3 +275,14 @@ \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 ---

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