What known physical processes convert matter into energy?
What known physical processes convert energy into matter?
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Less stereotypical examples are processes that affect bound states as binding energy contributes to rest energy (aka mass). An example would be the mass defect in nuclear fusion or fission processes, though the same thing happens during other types of reactions (such as chemical ones), just less noticeably.
Finally, one should clarify that phrases like "converting matter to energy" are arguably a category error: Matter is a 'thing', whereas energy is a property of such things (or of a system thereof). Converting 'between' matter and energy means shuffling around excitations of massive as well as massless fields in ways that affect rest energy. That does not mean you can't use the phrase, just that it's a bit misleading, in particular if used in conjunction with terms like 'pure energy'.