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Are there true “atoms”, i.e. particles that cannot be split into smaller particles?

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Are there true “atoms”, i.e. particles that cannot be split into smaller particles?

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Following the actual meaning of the term “atom” ( “an indivisible thing, you cannot split up into smaller particles”) I am wondering if there is a minimum of size/physical extent a certain thing must have. Assume you postulate that there is such a smallest unit of material below which nothing can go: I am looking for a very simple to understand and short explanation of why you think that there are indivisible things (i.e. atoms). Please refrain from too much mathematics and please try to keep your rationale as short as possible, ideally, not exceeding a few sentences. Thank you very much!

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