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In that case, it is my understanding that the very laws of physics would change over time. For more information, do some reading on Noether's Theorem. It includes some very advanced math, but briefly, every law of conservation is related to a symmetry in nature - and the Law of Conservation of Energy can be derived from the fact that the laws of nature don't change over time.

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Q: What would have happened if energy and mass together were not conserved in this universe?
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Is energy always conserved in the universe?

No - However, energy and mass are conserved. This is dictated by Einstein's most famous equation: ∆E=∆mc2


Is energy is conserved when an atom emits a photon of light?

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