Supersymmetry (a spacetime symmetry) is a theory that links gravity to the fundamental forces of nature, through relationships between two basic classes of elementary particles: bosons and fermions.
Bosons have an integer valued spin, while fermions have a half integer spin. Basically, each particle in its own group would have a partner in another, and their spin would differ by a half-integer. If you're wondering, a spin, in this case, is one of two angular momentums that applies to elementary particles, hadrons, and atomic nuclei.
Joe: "Did you know that particle accelerators have been built specifically to study physics past the Standard Model, such as Supersymmetry?"
Bob: "No, actually!"
Also, I'm sorry if that explanation wasn't thorough enough, because I left out a lot to get down to the simple explanation. You can go research it in your freetime, if you wish!
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Extraphysical Supersymmetry, shortened as EPSUSY, is a supersymmetric hypothesis where all superpartner particles and other supersymmetric particles at extraphysical level and extraphysical superposition does not let those particles be detected by majority of the experiments. Extraphysical Supersymmetry united the Extraphysical Theory with the Supersymmetry theory.
"Extraphysical Supersymmetry, such as the whole Extraphysical Theory, are the last hope several people have in create a unified physics theory and finnaly unite science with spirituality and metaphysics at once.