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According to the Big Bang Theory, the universe, having never before existed, suddenly appeared at the time of the Big Bang, when something exploded
Expanding on what jar said, the Big Bang Theory states that 13.7 billion years ago the universe was very hot and the size of a pea and mostly composed of particles. It then explains how we got the universe we have today from that pea-sized soup.
What proceeded that is unknown (maybe it was apple sized for five million years prior, then stadium sized for a trillion years, etc.) and the Big Bang Theory makes no statements on the origin of the universe.
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conforming to the Laws of Physics
"Laws of Physics" is a very pre-1800s way of viewing physics. Modern physics postulates that the world is composed of various "objects" (e.g. fields, spacetime) and derives the consequences of these postulates, which match current experiments. Laws tended to be absolute statements about observed behaviour.
Modern Quantum Field Theory for instance couldn't be broken down into "Laws", there'd be infinitely many if you tried.
In this sense Modern Physics is more like biology, i.e. entities and their behaviour.