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diff --git a/20240104/abell-1689-acc-20231101.tex b/20240104/abell-1689-acc-20231101.tex
new file mode 100644
index 0000000000000000000000000000000000000000..4aca2e8c8cd36a0c04ead542c23821df3f0e3356
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diff --git a/20240104/abell-1689-smd-1808.06923.tex b/20240104/abell-1689-smd-1808.06923.tex
new file mode 100644
index 0000000000000000000000000000000000000000..44a37aa13bebe6af1e9ac3667bd9f77682b0064a
--- /dev/null
+++ b/20240104/abell-1689-smd-1808.06923.tex
@@ -0,0 +1,358 @@
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diff --git a/20240104/abell-1689-smd-20231226.tex b/20240104/abell-1689-smd-20231226.tex
new file mode 100644
index 0000000000000000000000000000000000000000..c49254e78abb1f38842db44e281fd8a3cb0915dd
--- /dev/null
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+\gp3point{gp mark 3}{}{(6.597,5.283)}
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+\gpcolor{color=gp lt color border}
+\draw[gp path] (1.504,7.691)--(1.504,0.985)--(11.447,0.985)--(11.447,7.691)--cycle;
+%% coordinates of the plot area
+\gpdefrectangularnode{gp plot 1}{\pgfpoint{1.504cm}{0.985cm}}{\pgfpoint{11.447cm}{7.691cm}}
+\end{tikzpicture}
+%% gnuplot variables
diff --git a/20240104/abell-1689.jpg b/20240104/abell-1689.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..c06c4ec759af74d9d309846e7e78d7efaf28d70a
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diff --git a/20240104/bullet-cluster.jpg b/20240104/bullet-cluster.jpg
new file mode 120000
index 0000000000000000000000000000000000000000..4b3ff04d3c0145d579143bbf061ec6ac001219fb
--- /dev/null
+++ b/20240104/bullet-cluster.jpg
@@ -0,0 +1 @@
+1024px-1e0657_scale.jpg
\ No newline at end of file
diff --git a/20240104/cern.jpg b/20240104/cern.jpg
new file mode 120000
index 0000000000000000000000000000000000000000..ef41322878f81286fb4f52f80bd7d4dd50f98e88
--- /dev/null
+++ b/20240104/cern.jpg
@@ -0,0 +1 @@
+1024px-CERN_Aerial_View.jpg
\ No newline at end of file
diff --git a/20240104/coma-haufen.jpg b/20240104/coma-haufen.jpg
new file mode 120000
index 0000000000000000000000000000000000000000..76417dc73286672a68d78ff5c97e048c00005282
--- /dev/null
+++ b/20240104/coma-haufen.jpg
@@ -0,0 +1 @@
+2560px-Coma_Cluster_Full_Mosaic_(2018-44-4268).jpg
\ No newline at end of file
diff --git a/20240104/connes.jpg b/20240104/connes.jpg
new file mode 120000
index 0000000000000000000000000000000000000000..0f39252bb212974b3018dd2640f361a5f4fbbdd0
--- /dev/null
+++ b/20240104/connes.jpg
@@ -0,0 +1 @@
+Alain_Connes.jpg
\ No newline at end of file
diff --git a/20240104/dark-matter.jpg b/20240104/dark-matter.jpg
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diff --git a/20240104/hintergrundstrahlung.jpg b/20240104/hintergrundstrahlung.jpg
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diff --git a/20240104/hp-20240104.pdf b/20240104/hp-20240104.pdf
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diff --git a/20240104/hp-20240104.tex b/20240104/hp-20240104.tex
new file mode 100644
index 0000000000000000000000000000000000000000..cf6d9ee6e567042ec5841019f51f1afb7cb5b439
--- /dev/null
+++ b/20240104/hp-20240104.tex
@@ -0,0 +1,798 @@
+% hp-20240104.pdf - Lecture Slides on Low-Level Programming
+% Copyright (C) 2012, 2013, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+% README: Dunkle Materie und angewandte hardwarenahe Programmierung
+
+\documentclass[10pt,t,fleqn]{beamer}
+
+\usepackage{pgslides}
+\usepackage{utfsym}
+\usepackage{gnuplot-lua-tikz}
+
+\newcommand{\vfilll}{\vspace{0pt plus 1filll}}
+\newcommand{\scientistimage}[2]{\hfill
+  \raisebox{#1}{\makebox(0,0)[tr]{\includegraphics[width=2.5cm]{#2}}}}
+\newcommand{\fr}[2]{{\textstyle\frac{#1}{#2}}}
+
+\title{\textcolor{black}{\textbf{Dunkle Materie}}\\
+       {\large und} {\Large\emph{angewandte}}\\
+       hardwarenahe Programmierung}
+\author{Prof.\ Dr.\ rer.\ nat.\ Peter Gerwinski}
+\date{4.\ Januar 2024}
+
+\begin{document}
+
+\maketitleframe
+
+\title{Dunkle Materie und angewandte\\hardwarenahe Programmierung}
+
+\nosectionnonumber{\inserttitle}
+
+\begin{frame}
+
+  \shownosectionnonumber
+
+  \vspace{-1.5\smallskipamount}
+  \begin{itemize}
+    \item[\textbf{1}] \textbf{Was ist dunkle Materie?}
+      \hfill\makebox(0,0)[br]{\url{https://gitlab.cvh-server.de/pgerwinski/hp}}
+      \begin{itemize}
+        \item[1.1] Rotationskurven
+        \item[1.2] Virialsatz
+        \item[1.3] Gravitationslinsen
+        \item[1.4] Strukturbildung von Materie
+      \end{itemize}
+    \item[\textbf{2}] \textbf{Erklärungsansätze}
+      \begin{itemize}
+        \item[2.1] MACHOs
+        \item[2.2] WIMPs
+        \item[2.3] Modifizierte Gravitation
+      \end{itemize}
+    \item[\textbf{3}] \textbf{Das Bullet-Cluster}
+    \item[\textbf{4}] \textbf{Neue Erkenntnisse}
+      \begin{itemize}
+        \item[4.1] Nichtkommutative Geometrie
+        \item[4.2] Konforme Gravitation
+        \item[4.3] Verfügbare Daten
+        \item[4.4] Hardwarenahe Programmierung
+      \end{itemize}
+    \item[\textbf{5}] \textbf{Fazit und Ausblick}
+  \end{itemize}
+  \vspace*{-1cm}
+
+\end{frame}
+
+\section{Was ist dunkle Materie?}
+
+\begin{frame}
+
+  \showsection
+
+  Materie im Weltraum, die wir nicht sehen können\pause,\\
+  auch nicht im IR-, UV-, Radar-, Röntgen-, Radio- oder Gamma-Bereich\pause,\\
+  die wir aber indirekt über ihre Schwerkraft nachweisen können\pause:
+  \begin{itemize}
+    \item Rotationskurven
+    \item Virialsatz
+    \item Gravitationslinsen
+    \item Strukturbildung von Materie
+  \end{itemize}
+
+\end{frame}
+
+\subsection{Rotationskurven}
+
+\begin{frame}
+
+  \showsubsection
+
+  Kapteyn (1904):\scientistimage{0ex}{kapteyn.jpg}
+  \begin{itemize}
+    \only<1>{\item
+      Sterne bewegen sich.}
+    \only<2->{\item
+      Die Sterne in den Galaxien rotieren\\
+      um ein gemeinsames Zentrum.}
+    \only<3->{\item
+      Über das Newtonsche Schwerkraftgesetz\\
+      können wir auf die Masse dessen schließen,\\
+      was sich innerhalb der Bahn des Sterns befindet.}
+  \end{itemize}
+
+  \vfilll
+
+  \only<3->{\begin{quote}
+    "`We therefore have the means of estimating\\
+    the mass of the dark matter in the universe."'
+  \end{quote}}
+
+  \medskip
+
+  Kapteyns Stern
+  \begin{center}
+    \begin{minipage}{3.5cm}
+      \begin{center}
+        \includegraphics[width=3.5cm]{kapteyns-stern-1894.jpg}\\
+        1894
+      \end{center}
+    \end{minipage}\quad
+    \begin{minipage}{3.5cm}
+      \begin{center}
+        \includegraphics[width=3.5cm]{kapteyns-stern-1904.jpg}\\
+        1904
+      \end{center}
+    \end{minipage}\quad
+    \begin{minipage}{3.5cm}
+      \begin{center}
+        \includegraphics[width=3.5cm]{kapteyns-stern-2024.jpg}\\
+        2024
+      \end{center}
+    \end{minipage}
+  \end{center}
+
+\end{frame}
+
+\begin{frame}
+
+  \showsubsection
+
+  Rubin (1970):\scientistimage{0ex}{rubin.jpg}
+  \begin{itemize}
+    \item
+      Galaxien rotieren außen wesentlich schneller,\\
+      als es das Newtonsche Schwerkraftgesetz vorhersagt.
+    \arrowitem
+      Die Masse in den Galaxien ist deutlich größer\\
+      als die Masse der sichtbaren Materie.
+  \end{itemize}
+
+  \vfilll
+
+  \only<1>{\includegraphics[width=9.4cm]{dark-matter.jpg}\\[\smallskipamount]
+    \hbox{\hbox to 4.7cm{\hss berechnet\hss}\hbox to 4.7cm{\hss beobachtet\hss}}}
+
+  \only<2>{\includegraphics[width=9.4cm]{triangulum.jpg}}
+
+\end{frame}
+
+\subsection{Virialsatz}
+
+\begin{frame}
+
+  \showsubsection
+
+  Zwicky (1933):\scientistimage{0ex}{zwicky.jpg}
+  \begin{itemize}
+    \item
+      Die Galaxien im Coma-Galaxienhaufen bewegen sich\\
+      zu schnell, als daß sie zusammenbleiben könnten.
+    \arrowitem
+      Die Masse in den Galaxien ist mindestens 400mal\\
+      größer als die Masse der sichtbaren Materie.
+  \end{itemize}
+
+  \vfilll
+
+  \only<1>{\includegraphics[width=9.4cm]{coma-haufen.jpg}}
+
+\end{frame}
+
+\subsection{Gravitationslinsen}
+
+\begin{frame}
+
+  \showsubsection
+
+  Galaxienhaufen\\
+  Abell 1689
+  \begin{itemize}
+    \item<1->
+      Sterne:\\
+      ca.~$4{,}7\cdot10^{12}\,M_\odot$
+    \item<2->
+      Intergalaktisches Gas:\\
+      ca.~$3{,}6\cdot10^{13}\,M_\odot$
+    \item<3->
+      Gesamtmasse,\\
+      ermittelt über Gravi-\\
+      tationslinseneffekt:\\
+      ca.~$6{,}4\cdot10^{14}\,M_\odot$
+    \only<4->{\arrowitem
+      0,7\,\%\ Sterne\\
+      5,6\,\%\ Gas\\
+      \hspace*{-0.56em}93,7\,\%\ dunkle Materie}
+  \end{itemize}
+
+  \vfilll\strut\hfill\makebox(0,0)[br]{%
+    \only<1>{\includegraphics[width=7.8cm]{abell-1689.jpg}}%
+    \only<2>{\includegraphics[width=7.8cm]{abell-1689-roentgen.jpg}}%
+    \only<3->{\includegraphics[width=7.8cm]{abell-1689-masse.jpg}}}
+
+\end{frame}
+
+\begin{frame}
+
+  \begin{center}
+    \small
+    \input{abell-1689-smd-1308.1958.tex}
+  \end{center}
+
+  Quelle: arXiv:1308.1958\hfill Abell 1689
+
+\end{frame}
+
+\subsection{Strukturbildung von Materie}
+
+\begin{frame}
+
+  \showsubsection
+
+  Kosmische Hintergrundstrahlung
+  \begin{itemize}
+    \item
+      Erstes Licht nach dem Urknall
+    \item
+      Schwarzkörperstrahlung mit Farbtemperatur $2{,}7\,\text{K}\pm0{,}1\,\%$
+    \item<2->
+      Fouriertransformation\\
+      \textarrow\ Wellenlängen\\
+      \phantom{\textarrow\ }der Schwankungen
+    \item<2->
+      Daraus sind kosmische\\
+      Strukturen entstanden.
+    \item<3->
+      Vergleich mit realen\\
+      kosmischen Strukturen\\
+      \textarrow\ zusätzliche Masse\\
+      \phantom{\textarrow\ }erforderich
+    \only<3->{\arrowitem
+      ca.~fünfmal so viel dunkle\\
+      wie sichtbare Materie}
+  \end{itemize}
+
+  \vfilll\strut\hfill\makebox(0,0)[br]{%
+    \only<1>{\includegraphics[height=6cm]{hintergrundstrahlung.jpg}}%
+    \only<2->{\includegraphics[height=6cm]{spektrum.png}}}
+
+\end{frame}
+
+\section{Erklärungsansätze}
+\subsection{MACHOs}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Dunkle Materie = "`normale"', nicht selbst leuchtende Materie\\
+  MACHO = \emph{Massive Astrophysical Compat Halo Object}
+  \begin{itemize}
+    \item Planeten ohne Sonne
+    \item Gas- und Staubwolken
+    \item Schwarze Löcher
+  \end{itemize}
+
+  \pause
+
+  \vspace*{-0.6cm}\strut\hfill
+  \begin{minipage}{7.5cm}
+    \begin{flushright}
+      Problem: Davon müßte es sehr viel geben.\\
+      Bis heute (2024) hat man jedoch nichts entdeckt.
+    \end{flushright}
+  \end{minipage}
+
+  \vfilll\strut\hfill\makebox(0,0)[br]{%
+    \includegraphics[height=4cm]{hubble.jpg}%
+    \includegraphics[height=4cm]{jwst.jpg}}
+
+\end{frame}
+
+\subsection{WIMPs}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Dunkle Materie = neue Teilchen\\
+  WIMP = \emph{Weakly Interacting Massive Particle}
+  \begin{itemize}
+    \item sterile Neutrinos
+    \item Axionen
+    \item \emph{Little Higgs\/}-Teilchen
+    \item supersymmetrische\\Partnerteilchen
+  \end{itemize}
+
+  \medskip
+
+  \only<2->{Problem: Man hatte erwartet,\\
+  diese Teilchem am LHC zu\\
+  finden.  Bis heute (2024) hat\\
+  man jedoch nichts entdeckt.}
+
+  \vfilll\strut\hfill\makebox(0,0)[br]{%
+    \only<1>{\includegraphics[height=6cm]{standardmodell.png}}%
+    \only<2->{\includegraphics[height=5.6cm]{cern.jpg}}}
+
+\end{frame}
+
+\subsection{Modifizierte Gravitation}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Es gibt keine dunkle Materie.\\
+  Die Gravitation verhält sich anders.
+  \smallskip
+  \begin{itemize}
+    \item
+      Newton: $\displaystyle F = \frac{m\cdot M\cdot G}{r^2}$
+    \smallskip
+    \item
+      Einstein: leichte Abweichungen nahe der Sonne\\
+      \textarrow\ Periheldrehung des Merkur
+    \pause
+    \smallskip
+    \item
+      Modifizierte Graviation (verschiedene Theorien):\\
+      leichte Abweichungen in sehr großen Entfernungen\\
+      \textarrow\ Wir benötigen keine dunkle Materie.
+      \smallskip
+      \only<2>{%
+        \begin{itemize}
+          \item Rotationskurven
+          \item Virialsatz
+          \item Gravitationslinsen
+          \item Strukturbildung von Materie
+        \end{itemize}}
+      \only<3->{%
+        \begin{itemize}
+          \item[\color{medgreen}\usym{2714}] Rotationskurven
+          \item[\color{medgreen}\usym{2714}] Virialsatz
+          \item[\raisebox{-1pt}{\color{red}\large\usym{2718}\kern0.5pt}] Gravitationslinsen
+          \item[\color{medgreen}\usym{2714}] Strukturbildung von Materie
+        \end{itemize}}
+  \end{itemize}
+
+\end{frame}
+
+\section{Das Bullet-Cluster}
+
+\begin{frame}
+
+  \showsection
+
+  Galaxienhaufen 1E 0657$-$56 "`Bullet Cluster"'
+  \begin{itemize}
+    \item
+      Tatsächlich: 2 Galaxienhaufen, Kollision vor ca.~100 Millionen Jahren
+    \item
+      Masse: ca.~10\,\% Galaxien, 90\,\% Gas
+    \begin{onlyenv}<2-3>
+      \smallskip
+      \item
+        Galaxien: durchdringen\\
+        sich kollisionsfrei
+      \item
+        Gas: kollidiert, bremst,\\
+        heizt sich auf
+      \begin{onlyenv}<3>
+        \smallskip
+        \item
+          Gravitationslinseneffekt:\\
+          Schwerkraft maximal\\
+          bei den Galaxien,\\
+          nicht beim Gas
+        \arrowitem
+          Es gibt dunkle Materie,\\
+          bei den Galaxien,\\
+          kollisionsfrei.
+        \arrowitem
+          nicht erklärbar durch\\
+          modifizierte Gravitation
+      \end{onlyenv}
+    \end{onlyenv}
+    \begin{onlyenv}<4->
+      \smallskip
+      \item
+        Relativgeschwindigkeit\\
+        der Galaxien
+      \arrowitem
+        nicht erklärbar\\
+        durch dunkle Materie\\
+        (zu hoch)
+      \arrowitem
+        erklärbar duch\\
+        modifizierte Gravitation
+      \begin{onlyenv}<5->
+        \bigskip
+        \arrowitem
+          {\Large\textbf{\raisebox{-0.3ex}{?\raisebox{-0.2ex}{?}\raisebox{0.2ex}{?}}}}
+      \end{onlyenv}
+    \end{onlyenv}
+  \end{itemize}
+  \vspace*{-1cm}
+
+  \vfilll\strut\hfill\makebox(0,0)[br]{%
+    \begin{minipage}{7.5cm}
+      \begin{flushright}
+        \only<3>{Quelle: arXiv:astro-ph/0608407\\[\smallskipamount]}
+        \only<4->{\phantom{p}Quelle: arXiv:0704.0381\\[\smallskipamount]}
+        \includegraphics[width=7.5cm]{bullet-cluster.jpg}
+      \end{flushright}
+    \end{minipage}}
+
+\end{frame}
+
+\section{Neue Erkenntnisse}
+\subsection{Nichtkommutative Geometrie}
+
+\newcommand{\sheets}[1]{%
+  \begin{tikzpicture}[scale=#1]
+    \draw [fill=blue!50!white,xshift=2mm,yshift=-4mm] (2,3)
+      .. controls +(2,0) and +(-2,0) .. (6,2)
+      .. controls +(-1,-0.5) and +(0.5,1) .. (4,0)
+      .. controls +(-2,0) and +(2,0) .. (0,1)
+      .. controls +(0.5,1) and +(-0.5,-1) .. cycle;
+    \draw [fill=green!50!white,xshift=1mm,yshift=-2mm] (2,3)
+      .. controls +(2,0) and +(-2,0) .. (6,2)
+      .. controls +(-1,-0.5) and +(0.5,1) .. (4,0)
+      .. controls +(-2,0) and +(2,0) .. (0,1)
+      .. controls +(0.5,1) and +(-0.5,-1) .. cycle;
+    \draw [fill=red!50!white,xshift=0mm,yshift=0mm] (2,3)
+      .. controls +(2,0) and +(-2,0) .. (6,2)
+      .. controls +(-1,-0.5) and +(0.5,1) .. (4,0)
+      .. controls +(-2,0) and +(2,0) .. (0,1)
+      .. controls +(0.5,1) and +(-0.5,-1) .. cycle;
+    \draw [fill=yellow!50!white,xshift=-1mm,yshift=2mm] (2,3)
+      .. controls +(2,0) and +(-2,0) .. (6,2)
+      .. controls +(-1,-0.5) and +(0.5,1) .. (4,0)
+      .. controls +(-2,0) and +(2,0) .. (0,1)
+      .. controls +(0.5,1) and +(-0.5,-1) .. cycle;
+  \end{tikzpicture}}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Connes (1996): "`Weltformel"'\scientistimage{1.5ex}{connes.jpg}
+  % https://commons.wikimedia.org/wiki/File:Alain_Connes.jpg
+  \begin{itemize}
+    \pause
+    \item
+      diskrete Extradimensionen:\\
+      Das Universum hat mehrere "`Blätter"'.
+      \begin{picture}(0,0)
+        \only<2>{\put(-2,-0.5){\makebox(0,0)[t]{\sheets{1.0}}}}
+        \only<3->{\put(1.2,0.2){\makebox(0,0)[t]{\sheets{0.4}}}}
+      \end{picture}%
+    \pause
+    \smallskip
+    \alt<3>{\item[]}{\item}
+      \visible<4->{Aus}
+      \begin{displaymath}
+        \mathcal{A} = C^\infty(M) \otimes
+        \bigl(\mathbb{C} \oplus \mathbb{H} \oplus M_3(\mathbb{C})\bigr)
+      \end{displaymath}
+      \pause
+      folgt:
+      \begin{picture}(0,0)
+        \only<5->{%
+          \color{medgreen}
+          \put(4.1,-0.20){\makebox(0,0)[b]{Allgemeine Relativitätstheorie}}
+          \put(3.9,-0.25){\makebox(0,0)[tr]{\tikz{\draw[medgreen,-latex](0,0)--(-1,-0.3);}}}
+          \put(7.7,-2.8){\shortstack{Standardmodell der\\Quantenfeldtheorie}}
+          \put(7.6,-2.4){\makebox(0,0)[br]{\tikz{\draw[medgreen,-latex](0,0)--(-0.7,0.3);}}}}
+        \only<6->{%
+          \color{red}
+          \put(7.7,-0.6){\shortstack{\hspace*{-2em}Neu!\\Dunkle Materie?}}
+          \put(7.6,-0.6){\makebox(0,0)[tr]{\tikz{\draw[red,-latex](0,0)--(-1.1,-0.5);}}}}
+      \end{picture}%
+      \begin{align}
+        \mathcal{L} =~& \fr{c^4}{16\pi G} (R - 2\Lambda)
+        \nonumber\\*&\strut
+          + a\,(5R^2 - 8R_{\mu\nu}R^{\mu\nu} - 7R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma})
+        \nonumber\\*&\strut
+          + i\bar{e}^n_L \gamma^\mu\partial_\mu e^n_L
+          + i\bar{e}^n_R \gamma^\mu\partial_\mu e^n_R
+          + i\bar\nu^n_L \gamma^\mu\partial_\mu \nu^n_L
+          + \dots
+        \nonumber
+      \end{align}
+      \vspace*{-1.3\bigskipamount}
+    \bigskip\smallskip
+    \pause
+    \pause
+    \pause
+    \item
+      bisher: wenig beachtet, weil "`nicht quantisierbar"'\\
+      {\color{red}\textarrow\ mit meiner Methode schon}
+  \end{itemize}
+  \vspace*{-1cm}
+
+\end{frame}
+
+\subsection{Konforme Gravitation}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Allgemeine Relativitätstheorie:\quad
+  $\mathcal{L} = \frac{c^4}{16\pi G} (R - 2\Lambda)$
+  \vspace{-\medskipamount}
+  \begin{displaymath}
+    \Rightarrow V(r) \approx -\frac{GM}{r}
+    \qquad
+    \text{(Newton)}
+  \end{displaymath}
+
+  Konforme Gravitation:\quad
+  $\mathcal{L} = a\,(5R^2 - 8R_{\mu\nu}R^{\mu\nu}
+  - 7R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma})$
+  \vspace{-\medskipamount}
+  \begin{displaymath}
+    \Rightarrow V_{\text{CC}}(r) \approx -\frac{c^2\beta}{r} + \fr12 c^2 \gamma\,r
+    \qquad
+    \text{(Newton + \only<2->{winzige }konstante Kraft)}
+  \end{displaymath}
+  \pause
+  Für unsere Sonne: $\gamma \approx 5.42\cdot10^{-39}\,\text{m}^{-1}$
+
+  \pause
+  \bigskip
+
+  \begin{itemize}\itemsep0pt
+    \item[\color{medgreen}\usym{2714}] Rotationskurven
+    \item[\color{medgreen}\usym{2714}] Virialsatz
+    \item[\raisebox{-1pt}{\color{red}\large\usym{2718}\kern0.5pt}] Gravitationslinsen
+      \textarrow\ Was geht schief?
+    \item[\color{medgreen}\usym{2714}] Strukturbildung von Materie
+  \end{itemize}
+
+\end{frame}
+
+\begin{frame}
+
+  \begin{center}
+    \small
+    \input{abell-1689-acc-1808.06923.tex}
+  \end{center}
+
+  Quelle: arXiv:1808.06923\hfill Abell 1689
+
+\end{frame}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Mein Ansatz:
+  \begin{itemize}
+    \item
+      Allgemeine Relativitätstheorie:\\[\smallskipamount]
+      $\mathcal{L} = \frac{c^4}{16\pi G} (R - 2\Lambda)$\quad
+      $\longleftarrow$ enthält $R$
+    \medskip
+    \item
+      Konforme Gravitation:\\[\smallskipamount]
+      $\mathcal{L} = a\,(5R^2 - 8R_{\mu\nu}R^{\mu\nu}
+      - 7R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma})$\quad
+      $\longleftarrow$ enthält $R^2$
+    \medskip
+    \arrowitem
+      Konforme Gravitation ist nur bei sehr starker Gravitation relevant.\\
+    \pause
+    \arrowitem
+      Konforme Gravitation ist nur bei schwarzen Löchern relevant,\\
+      nicht jedoch bei Sternen und Gaswolken.
+    \pause
+    \arrowitem
+      \begin{picture}(0,0)
+        \put(0,0.45){\makebox(0,0)[bl]{\tikz{\draw[red,line width=1pt](0,0)--(9.5,0.8);
+                                             \draw[red,line width=1pt](0,0.8)--(9.5,0);}}}
+        \put(9.7,0.8){\makebox(0,0)[l]{\color{red}\textbf{falsch}}}
+      \end{picture}%
+      Konforme Gravitation ist nur bei Sternen relevant,\\
+      nicht jedoch bei (sehr viel schwereren) Gaswolken.
+    \arrowitem
+      Bullet-Cluster erklärbar
+  \end{itemize}
+
+\end{frame}
+
+\begin{frame}
+
+  \begin{center}
+    \small
+    \input{abell-1689-acc-20231101.tex}
+  \end{center}
+
+  PG, 1.~November 2023\only<2>{%
+  \begin{picture}(0,0)
+    \put(0,5.7){\makebox(0,0)[bl]{\tikz{\draw[red,line width=1pt](0,0)--(7.9,2.3);
+                                        \draw[red,line width=1pt](0,2.3)--(7.9,0);}}}
+    \put(6.5,4.8){\makebox(0,0)[l]{\color{red}\textbf{falsch}}}
+  \end{picture}}, 9:40 Uhr\hfill Abell 1689
+
+\end{frame}
+
+\begin{frame}
+
+  \begin{center}
+    \small
+    \input{abell-1689-smd-20231226.tex}
+  \end{center}
+
+  PG, 26.~Dezember 2023\hfill Abell 1689
+
+\end{frame}
+
+\begin{frame}
+
+  \vfilll
+
+  \begin{center}
+    \includegraphics[width=0.9\textwidth]{1e0657-558-kappa.png}
+  \end{center}
+
+  \vfilll
+
+  Quelle: arXiv:astro-ph/0608407\hfill Bullet Cluster
+
+\end{frame}
+
+\begin{frame}
+
+  \vfilll
+
+  \begin{center}
+    \includegraphics[width=0.9\textwidth]{1e0657-558-smd-cg-42.png}
+  \end{center}
+
+  \vfilll
+
+  PG, 27.~November 2023\hfill Bullet Cluster
+
+\end{frame}
+
+\subsection{Verfügbare Daten}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  Web-Suche
+  \begin{itemize}
+    \item
+      Wissenschaftliche Veröffentlichungen:\\
+      Meßkurven aus Abbildungen extrahieren
+    \item
+      VizieR: veröffentlichte Meßwerte
+    \item
+      sonstige veröffentlichte Meßwerte (z.\,B.\ zum Bullet-Cluster)
+  \end{itemize}
+
+  \medskip
+
+  Astronomische Daten: Position und Leuchtkraft von Galaxien
+  \begin{itemize}
+    \item
+      Gehören die Galaxien überhaupt zum Galaxienhaufen?\\
+      \textarrow\ Leuchtkraft in verschiedenen Farben ("`Bändern"') vergleichen\\
+      \textarrow\ tatsächlich: möglicherweise nicht so wichtig
+    \item
+      Welche Masse haben die Galaxien?\\
+      \textarrow\ Leuchtkraft mit sinnvoller Konstanten multiplizieren\\
+      \textarrow\ schwerste Galaxie ungefähr so schwer wie M87
+    \item
+      Position: nur zweidimensional\\
+      \textarrow\ plausible dritte Koordinate (pseudo-)zufällig generieren
+  \end{itemize}
+
+\end{frame}
+
+\subsection{Hardwarenahe Programmierung}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \vspace{-\smallskipamount}
+  \begin{itemize}
+    \item
+      \file{adl2xsm.c}\\
+      astronomische in kartesische Koordinaten\\
+      und Leuchtkraft in Masse umrechnen
+    \item
+      \file{xym2xyzm.cpp}\\
+      plausible dritte Koordinate (pseudo-)zufällig generieren
+    \item
+      \file{xyzm2aca2smd.cpp}\\
+      aus den Koordinaten und Massen der Galaxien\\
+      zunächst dreidimensionales Gravitationsbeschleunigung berechnen,\\
+      davon die Divergenz berechnen, als Massendichte interpretieren,\\
+      daraus dann eine Oberflächenmassendichte
+      (\emph{surface mass density}, SMD)\\
+      berechnen
+    \medskip
+    \item
+      \file{run-smd.sh}\\
+      alles compilieren und in einer Pipe aufrufen
+    \item
+      parallelisiertes Rechnen mit OpenMP:\\
+      \lstinline{#pragma omp parallel for reduction (+: result_x, result_y, result_z)}
+  \end{itemize}
+
+\end{frame}
+
+\section{Fazit und Ausblick}
+
+\begin{frame}
+
+  \showsection
+
+  Konforme Gravitation
+  \begin{itemize}
+    \item
+      quantitativ richtige Ergebnisse für Abell 1689,
+      $R \approx 100$--1000\,kpc
+    \item
+      qualitativ richtige Ergebnisse für das Bullet Cluster
+    \arrowitem
+      dunkle Materie = Divergenz des konformen Gravitationsfeldes
+  \end{itemize}
+  \begin{itemize}\itemsep0pt
+    \item[\color{medgreen}\usym{2714}] Rotationskurven
+    \item[\color{medgreen}\usym{2714}] Virialsatz
+    \item[\color{medgreen}\usym{2714}] Gravitationslinsen
+    \item[\color{medgreen}\usym{2714}] Strukturbildung von Materie
+  \end{itemize}
+
+  \medskip
+
+  Ausblick
+  \begin{itemize}
+    \item
+      Abell 1689: 2d-Betrachtungen
+    \item
+      Vergleich mit Messungen über das\\
+      hydrostatische Gleichgewicht der Gaswolken
+    \item
+      Optimierung der Ergebnisse für das Bullet Cluster
+    \item
+      Überprüfung für weitere Galaxienhaufen
+    \arrowitem
+      alles aufschreiben und veröffentlichen
+  \end{itemize}
+
+\end{frame}
+
+\end{document}
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