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Where did atoms originally form?

I am studying the Big Bang and trying to make sense of it. Is there research or ideas on how atoms initially formed? Has there been experiments done starting with basic subatomic particles to create a Hydrogen atom, for example? I know we can take existing atoms and smash them together to form higher-order atoms. The question is: Is there an existing level of research addressing (new) Atomic Synthesis?

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    Oct 22 2013: We would need zillions of identical particles to appear (?) at once, & then swing into orbit etc while rushing away from point zero in a straight line trajectory. Sometimes it's good to admit, we just don't know.

    :-)

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