Randomness is about unpredictability (it's how it is defined).
Physics reveals that certain specific events are entirely unpredictable (the reasoning is non-trivial but is established knowledge), answering the question of the title.
This is independent of any claims about randomness in cases where it is impractical to use physics (even though fundamentally it determines all behaviour in our Universe). For example, predicting the result of a horse race.
Wrong answer Try again
Perhaps this -
https://en.m.wikipedia.org/wiki/Matter
For much of the history of the natural sciencespeople have contemplated the exact nature of matter. The idea that matter was built of discrete building blocks, the so-called particulate theory of matter, independently appeared in ancient Greeceand ancient India among Buddhists, Hindus and Jains in 1st-millennium BC.[6] Ancient philosophers who proposed the particulate theory of matter include Kanada (c. 6th–century BC or after),[7]Leucippus (~490 BC) and Democritus (~470–380 BC).[8]
I recall Democritus' association with the atomic hypothesis - that matter was made of indivisible units. However, I am not aware of any discussion of energy and matter being converted to each other until the 20th century.. Stuff appearing out of nowhere is of course a common part of many ancient stories, but not in a way that improves understanding.