SU_q(2) rotational symmetry turns spin probabilities into non-commuting operators, yielding an uncertainty principle that prevents sharp measurement of relative observer orientations.
3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
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abstract
We show that the effective dynamics of matter fields coupled to 3d quantum gravity is described after integration over the gravitational degrees of freedom by a braided non-commutative quantum field theory symmetric under a kappa-deformation of the Poincare group.
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2026 2representative citing papers
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) rotational symmetry turns spin probabilities into non-commuting operators, yielding an uncertainty principle that prevents sharp measurement of relative observer orientations.
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