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What is a fermion?

What is a fermion? Here are some definitions.

Noun
  1. A particle with totally antisymmetric composite quantum states, which means it must obey the Pauli exclusion principle and hence Fermi–Dirac statistics. They have half-integer spin. Among them are many elementary particles, most derived from quarks.
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The particular superness of the symmetry which it proposes is that every known fermion is partnered with one or more hypothetical bosons, and every known boson with one or more fermions.
Unfortunately, particle physics predicts that any particle that has chirality cannot have mass, so a massive chiral fermion is a contradiction in terms.
Despite being its own antiparticle, this special particle wouldn't be a fermion.
The new particle is a cousin of the Weyl fermion, one of the particles in standard quantum field theory.
When a fermion is transformed into a boson and then back again into a fermion, it turns out that the particle has moved in space, an effect that is related to special relativity.
One is the puzzle of why there are three and only three generations of fermion, given that the second and third generations seem almost redundantly similar to the first, except for their higher masses and shorter lifetimes.

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