Subatomic Structures

So; There are two basic ways that the tiniest particles can be composed. This is disregarding String Theory, which holds that electrons and whatnot are composed of one dimensional objects.

Theory One: The Base Particle
The smallest parts of matter can be composed of pieces of made of no more pieces; perfectly, infitesimally small objects. These would be true atoms, since the word atom comes from a greek word meaning "indivisible". However, such a thing would be rigid; since there were no bits composing it, matter would trael through the object immediately, and reach the other side of the object instantly. This would be faster than light speed, which violates Einstein's Theory of Special Relativity, which has plenty of trippy effects.

Theory Two: Infinite Parts
Every particles is composed of more particles, composed of more particles, etc. The problem with this idea is once again energy transferrence; one object would hit another, would hit another inside that, forever. Energy would constantly be pushing the other parts of the bits making up electrons, collidin and traversing an infinite amount of messengers carrying it. The problem is the infinity; the infinity cannot be traversed.

Obviously both of these are impossible.