A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
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A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.
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Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames
A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
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Foundations of Relational Quantum Field Theory I: Scalars
A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.