SU_q(2) quantum group applied to spin-1/2 rotations yields non-commuting probability operators, an uncertainty principle for probabilities, and non-commutative rotation matrices between observers.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) quantum group applied to spin-1/2 rotations yields non-commuting probability operators, an uncertainty principle for probabilities, and non-commutative rotation matrices between observers.