Splitting Particles: Beyond Elements & Nucleas?

killza
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isn't it possible to split particles beyound elements and nucleas? can the splitting go on forever and ever?
 
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Atoms consist of nuclei and electrons. Nuclei consist of protons and neutrons (except H1). Protons and neutrons consist of quarks and gluons. Current theory has electrons, quarks, and gluons as fundamental (no more splitting).
 

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