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\newcommand{\coproduct}{\coprod} \newcommand{\product}{\prod} \newcommand{\closure}{\overline} \newcommand{\integral}{\int} \newcommand{\doubleintegral}{\iint} \newcommand{\tripleintegral}{\iiint} \newcommand{\quadrupleintegral}{\iiiint} \newcommand{\conint}{\oint} \newcommand{\contourintegral}{\oint} \newcommand{\infinity}{\infty} \newcommand{\bottom}{\bot} \newcommand{\minusb}{\boxminus} \newcommand{\plusb}{\boxplus} \newcommand{\timesb}{\boxtimes} \newcommand{\intersection}{\cap} \newcommand{\union}{\cup} \newcommand{\Del}{\nabla} \newcommand{\odash}{\circleddash} \newcommand{\negspace}{\!} \newcommand{\widebar}{\overline} \newcommand{\textsize}{\normalsize} \renewcommand{\scriptsize}{\scriptstyle} \newcommand{\scriptscriptsize}{\scriptscriptstyle} \newcommand{\mathfr}{\mathfrak} \newcommand{\statusline}[2]{#2} \newcommand{\tooltip}[2]{#2} \newcommand{\toggle}[2]{#2} % Theorem Environments \theoremstyle{plain} \newtheorem{theorem}{Theorem} \newtheorem{lemma}{Lemma} \newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{observable universe} \begin{quote}% under construction This entry is about the notion in [[physics]]. For a different (but at least roughly analogous) notion in [[mathematics]]/[[logic]] see at \emph{[[universe]]}. \end{quote} \vspace{.5em} \hrule \vspace{.5em} \hypertarget{context}{}\subsubsection*{{Context}}\label{context} \hypertarget{physics}{}\paragraph*{{Physics}}\label{physics} [[!include physicscontents]] \hypertarget{contents}{}\section*{{Contents}}\label{contents} \noindent\hyperlink{idea}{Idea}\dotfill \pageref*{idea} \linebreak \noindent\hyperlink{related_entries}{Related entries}\dotfill \pageref*{related_entries} \linebreak \noindent\hyperlink{References}{References}\dotfill \pageref*{References} \linebreak \hypertarget{idea}{}\subsection*{{Idea}}\label{idea} On the very largest scales observable in astrophysical [[experiment]], the cosmos is well described by an [[FRW model]] with [[cosmological constant]] $\Lambda$ (but see at \emph{[[inhomogeneous cosmology]]}), with plenty of [[dark matter]] and with primordial [[cosmic inflation]] (called the $\Lambda$-CDM ``[[standard model of cosmology|concordance model of cosmology]]''). A [[horizon]] in there and everything on smaller scales is the \emph{observable universe}. There has never been a reason to assume that beyond this \emph{cosmic horizon} visible to us today, the cosmos would not extend further. In fact in the simple [[FRW models]] with positive cosmological constant, the [[spacetime]] [[manifold]] is not a [[closed manifold]] and extends indefinitely beyond our observable horizon. This is directly analogous to the ancient mariner who would stand on the deck of his ship and see a few miles of ocean around him. That was the world within his horizon, but there was no telling what lay beyond. Therefore it is important to distinguish the \emph{observable universe} from the \emph{universe} as such. Unfortunately, intellectual laziness tended to ignore this distinction and at some point some people who said ``universe'' to mean just the stretch of our cosmic horizon felt the need to have a new term for whatever may lie beyond. For better or worse, that new term has become wide-spread these days and is ``[[multiverse]]''. The main scientific observation that goes with this is the observation that [[cosmic inflation]] -- for which there is by now excellent and ever increasing [[experiment|experimental]] evidence that indeed it happened -- does, at least by the simple method which is currently used to model it, naturally predict a large ambient space in which local regions stochastically undergo inflationary expansion. This scenario of [[chaotic inflation]] has in fact been singled out as the most likely one (within the standard model) by the [[bicep2]]-[[experiment]] in 2014. In any case, as far as the \emph{observable} universe is concerned, two facts are worth noticing: \begin{enumerate}% \item the observable universe alone is already pretty darn large, see the various discussion of its scales \hyperlink{References}{below}; \item [[Giordano Bruno]]`s old intuition remains plausible even at the largest scales: possibly the full xyz-verse beyond our present horizon is vastly larger still\ldots{} and we may never know. \end{enumerate} \begin{quote}% graphics taken from \hyperlink{PrimackCh6}{Primack Chapter 6} (\href{http://viewfromthecenter.com/images/Cosmic_Uroboros.jpg}{color version}) \end{quote} \begin{quote}% Recent measurements (c. 2001) by a number of ground-based and balloon-based experiments, including MAT/TOCO, Boomerang, Maxima, and DASI, have shown that the brightest spots are about 1 degree across. Thus the universe was known to be flat to within about 15\% accuracy prior to the WMAP results. WMAP has confirmed this result with very high accuracy and precision. We now know that the universe is flat with only a 2\% margin of error \end{quote} [[energy]] $\,$ [[scales]]: $\backslash$begin\{center\} $\backslash$end\{center\} \begin{quote}% graphics grabbed from \href{http://sten.astronomycafe.net/the-particle-desert/}{here} \end{quote} \hypertarget{related_entries}{}\subsection*{{Related entries}}\label{related_entries} \begin{itemize}% \item [[experimental observation]] \begin{itemize}% \item [[hydrogen line]] \end{itemize} \item [[cosmology]], \begin{itemize}% \item [[standard model of cosmology]], \begin{itemize}% \item [[FRW model]] \item [[big bang]] \item [[dark matter]] \end{itemize} \item [[structure formation]] \end{itemize} \item [[quantum cosmology]] \item [[particle physics]], [[standard model of particle physics]] \end{itemize} \hypertarget{References}{}\subsection*{{References}}\label{References} \begin{itemize}% \item Wikipedia \emph{\href{http://en.wikipedia.org/wiki/Observable_universe}{Observable universe}} \end{itemize} A visualization of the scales in the [[solar system]] are in \begin{itemize}% \item \href{http://joshworth.com/dev/pixelspace/pixelspace_solarsystem.html}{A tediously accurate scale model of the solar system} \end{itemize} Accurate visualization of many astronomical phenomena is at \begin{itemize}% \item \hyperlink{http://en.spaceengine.org}{en.spaceengine.org} \end{itemize} Visualization of the [[speed of light]] in relation to distances in the solar system: \begin{itemize}% \item \href{https://www.techexplorist.com/3-animations-provided-nasa-scientist-suggests-the-speed-of-light-frustratingly-slow/20215/}{www.techexplorist.com/3-animations-provided-nasa-scientist-suggests-the-speed-of-light-frustratingly-slow/20215/} \end{itemize} A visualization of the big observable structures in the universe, drawn to scale, is in \begin{itemize}% \item American Museum of Natural History, \emph{The known universe} (\href{https://www.youtube.com/watch?v=17jymDn0W6U#t=374}{video}) \end{itemize} Visualization of local gakaxy densities and voids https://phys.org/news/2019-07-astronomers-vast-void-cosmic-neighborhood.amp A simulation of the [[structure formation]] (see there for more) of these is at \begin{itemize}% \item \emph{\href{http://www.mpa-garching.mpg.de/galform/virgo/millennium/}{The Millennium Simulation Project}} \end{itemize} On scales \begin{itemize}% \item [[Joel Primack]], \emph{\href{http://viewfromthecenter.com/}{The View from the Center of the Universe}} Chapter 6: \emph{What Size is the Universe? The Cosmic Uroboros} (\href{http://physics.ucsc.edu/~joel/Chapter6.pdf}{pdf}, [[PrimackSizeOfUniverse.pdf:file]]) \end{itemize} Pointers to the past and future timeline of the observable universe are collected in \begin{itemize}% \item [[John Baez]], \emph{\href{http://math.ucr.edu/home/baez/timeline.html}{A Brief History of the Universe}} \end{itemize} Survey and exposition of aspects of organizing the large-scale structure of the universe are at \begin{itemize}% \item Wikipedia, \emph{\href{http://en.wikipedia.org/wiki/Cosmic_distance_ladder}{The cosmic distance ladder}} \item [[Terence Tao]], \emph{\href{http://terrytao.wordpress.com/2007/05/31/the-cosmic-distance-ladder/}{The cosmic distance ladder}} \end{itemize} More technical discussion of cosmic horizons contains \begin{itemize}% \item [[George Ellis]], T. Rothman: \emph{Lost Horizons}, 1993 (\href{http://de.scribd.com/doc/235971566/G-F-R-Ellis-T-Rothman-Lost-Horizons}{scribd}) \end{itemize} A sketch of a comprehensive picture had been proposed in \begin{itemize}% \item [[Erich Jantsch]], \emph{[[The Self-Organizing Universe]]} (1980) \end{itemize} [[!redirects cosmic horizon]] [[!redirects cosmic horizons]] \end{document}