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Universe may have no boundaries from "summary" of A Brief History of Time by Stephen W. Hawking

According to the current understanding of cosmology, the universe is thought to have begun with the Big Bang around 13.8 billion years ago. Since then, the universe has been expanding, with galaxies moving away from each other. This expansion can be thought of as the universe stretching like the surface of a balloon being inflated. However, unlike the surface of a balloon, the universe is not expanding into anything; rather, it is the fabric of space itself that is expanding. One question that arises when thinking about the expanding universe is whether it has boundaries. If the universe has boundaries, then what lies beyond those boundaries? Is there an edge to the universe beyond which there is nothing? These are difficult questions to answer, and our current understanding of the universe suggests that it ...
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    A Brief History of Time

    Stephen W. Hawking

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