1
Fork 0

Add silver lining

This commit is contained in:
prescientmoon 2025-03-21 13:11:10 +01:00
parent 7947af0a53
commit 1eac83d4a9
Signed by: prescientmoon
SSH key fingerprint: SHA256:UUF9JT2s8Xfyv76b8ZuVL7XrmimH4o49p4b+iexbVH4
3 changed files with 18 additions and 12 deletions

View file

@ -32,16 +32,20 @@
\end{frame}
\end{comment}
\begin{frame}{The silver lining}
{
\usebackgroundtemplate{
\begin{tikzpicture}
\clip (0,0) rectangle (\paperwidth,\paperheight);
\fill[color=orange] (\paperwidth-10pt,0) rectangle (\paperwidth,\paperheight);
\fill[color=silver] (\paperwidth-10pt,0) rectangle (\paperwidth,\paperheight);
% Added
\fill[color=orange](0,0) rectangle (10pt,\paperheight);
\fill[color=silver](0,0) rectangle (10pt,\paperheight);
\end{tikzpicture}
}
\begin{frame}{The silver lining}
\begin{itemize}
\item Isospectral pairs are cool and all, but they cannot occur in dimension $3$.
\item We can thus attempt to infer the shape of our universe based on its spectrum.
\end{itemize}
\end{frame}
}

BIN
main.pdf

Binary file not shown.

View file

@ -61,6 +61,8 @@ code-for-last-col = \color{blue}
\setbeamercolor{block body}{fg=black, bg=pink!20}
\setbeamercolor{titlebox}{fg=black,bg=white}
\definecolor{silver}{RGB}{192, 192, 192}
\begin{document}
\section{Introduction}
@ -136,7 +138,7 @@ code-for-last-col = \color{blue}
\item Manifolds of the form $\S^3/\Gamma$ with $\Gamma$ a group acting on $\S^3$.
\item Multi-connected space: it has non-contractable loops.
\item Inhomogeneous space: it does not look identical from every point in space.
\pause
\pause
\item Fixing $|\Gamma|=8$, we have three multi-connected manifolds, up to equivalence: \pause
\begin{enumerate}
\item homogeneous: $N3$ and $L(8,1)$.
@ -230,16 +232,16 @@ code-for-last-col = \color{blue}
\pause
\begin{enumerate}
\item We can infer the shape of the universe from its spectrum.
\item We can infer the shape of the universe from its spectrum.
\pause
\item There are two homogeneous spherical manifolds obtained as $\S^3/\Gamma$ which produce CMB similar to observations.
\pause
\item There are two homogeneous spherical manifolds obtained as $\S^3/\Gamma$ which produce CMB similar to observations.
\pause
\item Inhomogeneous spherical spaces exhibit varied behavior of CMB anisotropies.
\pause
\item Inhomogeneous spherical spaces exhibit varied behavior of CMB anisotropies.
\pause
\item Statistical test results suggest possibilities of finite multi-connected topology.
\pause
\item Statistical test results suggest possibilities of finite multi-connected topology.
\end{enumerate}
\end{frame}