% miko:type: atomic
% miko:title: Minkowski Interval
% miko:summary: The invariant spacetime distance preserved by Lorentz transformations.
% miko:tags: relativity
% miko:difficulty: undergrad
% miko:related: lorentz-transformation, proper-time, complete-special-relativity
% miko:keywords: spacetime, invariant, metric

\documentclass{article}
\usepackage{amsmath}
\title{Minkowski Interval}
\begin{document}
\maketitle

\section{Definition}

With signature $(-,+,+,+)$,

$$
ds^2 = -c^2dt^2 + dx^2 + dy^2 + dz^2.
$$

\section{Invariance}

All inertial observers agree on $ds^2$, even though they disagree on separate
time and space intervals.

\end{document}
