Kappa-deformed space-time uncertainty relations

Heisenberg Double Description of kappa-Poincare Algebra and kappa-deformed Phase Space

The kappa-deformed dual pair of Poincare algebra and Poincare group is formulated in the framework of Heisenberg doubles. The covariant kappa-deformed phase space is described in detail as a subalgebra.The realizations of proposed algebraic scheme are considered.

广义Kappa-Poincar 'e和Kappa-Weyl代数的形变映射

Deformation map for generalized Kappa-Poincar'e and Kappa-Weyl algebras

构造了动量空间中的一个非线性变换，将洛伦兹和外尔发生器对动量的变形作用转化为标准作用。

kappa-Deformed Covariant Phase Space and Quantum-Gravity Uncertainty Relations

We describe the deformed covariant phase space corresponding to the so-called kappa-deformation of D=4 relativistic symmetries, with quantum ``time'' coordinate and Heisenberg algebra obtained according to the Heisenberg double construction. The associated modified uncertainty relations are analyzed, and in particular it is shown that these relations are consistent with independent estimates of quantum-gravity limitations on the measurability of space-time distances.