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The universe is expanding due to dark energy from "summary" of The Quantum Universe by Brian Cox,Jeff Forshaw

The expansion of the universe is a remarkable and profound phenomenon that has captured the imagination of scientists and the general public alike. This expansion is not simply a matter of galaxies moving away from each other through existing space; rather, it is the very fabric of space itself that is expanding. This means that the distances between galaxies are increasing as the universe grows larger. The key to understanding this expansion lies in the concept of dark energy. Dark energy is a mysterious force that permeates all of space and drives the acceleration of the universe's expansion. While the exact nature of dark energy remains unknown, its presence is undeniable based on observations of distant galaxies moving away from us at ever-increasing speeds. One of the most strikin...
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    The Quantum Universe

    Brian Cox

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