Now I am not very thoroughly educated in the topic so I embrace the potential to have been completely wrong.
I have thought of an interesting paradox for which I dubbed the name Simplicity paradox. It goes as follows:
If any particle we know of (or are fairly sure of its existence) can not be divided into smaller particles, it could not have come into existence, because in order for it to transition from nonexistence and existence its ingredients must come together to form it. Without ingredients, it cannot come into existence (unless energy becomes matter, but I think the same may be able to apply to energy, though I am not sure).
I doubt this is true, but I want to know what makes in false. According to this either the universe and all particles must have existed eternally or there must be an infinite chain of smaller, simpler particles, either of which I believe are false an unpractical.