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fix(phd): add 5 missing LaTeX labels (Zenodo Sentinel PASS-20) #828

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fix(phd): add 5 missing LaTeX labels (Zenodo Sentinel PASS-20) #828

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1 change: 1 addition & 0 deletions docs/phd/appendix/B-falsification.tex
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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{ch:appendix-B-falsification}

\begin{quote}\itshape
``A theory which is not refutable by any conceivable event is non-scientific.
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6 changes: 3 additions & 3 deletions docs/phd/appendix/D-golden-mirror.tex
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Expand Up @@ -29,7 +29,7 @@ \section*{D.0 Preface and Scope}
\[
\varphi^{2} + \varphi^{-2} = 3,
\quad \varphi = \tfrac{1+\sqrt{5}}{2}.
\tag{D.0}
\tag{D.0}\label{eqn:D0}
\]
The three strands are:

Expand Down Expand Up @@ -282,7 +282,7 @@ \section*{D.4.5 Mirror-Conjugate Closure Theorem (Main Theorem)}
\emph{mirror coordinate formula}:
\[
\boxed{\sigma(a + b\varphi) = (a+b) - b\varphi.}
\tag{D.1}
\tag{D.1}\label{eqn:D1}
\]
This is the algebraic core of the ``golden mirror'' metaphor:
the coefficient $b$ is negated, while the integer part accumulates $b$
Expand Down Expand Up @@ -635,7 +635,7 @@ \subsection*{D.8.2 Lucas Mirror Identity}
Therefore:
\[
\boxed{L_n L_{-n} = 2 + (-1)^n(\varphi^{2n} + \varphi^{-2n}).}
\tag{D.2}
\tag{D.2}\label{eqn:D2}
\]
\end{lemma}

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2 changes: 1 addition & 1 deletion docs/phd/appendix/F-coq-citation-map.tex
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Expand Up @@ -352,7 +352,7 @@ \subsection{The 15 \texttt{Admitted} passports}
time $> 27 \log 27 / (1 - \varphi^{-1}) \approx 297$ steps for the
canonical seed $1597$.

\paragraph{F.7.C KART $\leftrightarrow$ GF16 isomorphism ($\times$1).}
\paragraph{F.7.C KART $\leftrightarrow$ GF16 isomorphism ($\times$1).}\label{thm:gf16-kart}
\filepath{trinity-clara/proofs/igla/kart\_gf16\_isomorphism.v}, theorem
\texttt{kart\_gf16\_exact}. The Kolmogorov--Arnold ternary representation
$\mathrm{KART}_n$ is isomorphic as an $\mathbb{F}_2$-algebra to
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