The [Short Title] content is meant for the ToC and page headers only, to provide a shorter title, whereas the \chapter{Longer Title} is displayed on the page body. As long as you don't use \tableofcontents you won't notice ANYTHING at all (and not using page headers as well)
If the [...] version is omitted, ToC entry and chapter header entry are the same (by design), that's why it's used as an optional argument.
The design of of this \cmd[Short title]{Long title} is 'general' in the sense that it use usable for the \part, \chapter, \section etc, and for \caption (or \captionof).
Please note, that the memoir class provides a second optional argument, i.e. \chapter[ToC title][header title]{body page title}, i.e. the 2nd optional argument is used then for the title which should appear in the page header.
Here's an example:
\documentclass{book}
\usepackage{blindtext}
\begin{document}
\tableofcontents
\chapter[ANYTHING]{This is used in body}
\blindtext[10]
\chapter[\protect\footnote{This is a footnote}]{Other chapter}
\blindtext[10]
\end{document}
The example shows that ANYTHING used in the optional argument will be display both in ToC as well as in the page header, as well as the 'stupid' \footnote superscript.
In order to use fragile commands (such as \footnote etc. one has to \protect them or \robustify them (use etoolbox package for this, for example)
\caption[one]{two}, then "one" goes into the list of figures, while "two" will be the actual caption. – Mark May 12 '16 at 15:50