Κ-deformed Covariant Phase Space and Quantum-gravity Uncertainty Relations
نویسنده
چکیده
We describe the deformed covariant phase space corresponding to the so-called κ-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 quantumgravity limitations on the measurability of space-time distances.
منابع مشابه
m at h . Q A ] 1 5 M ar 1 99 8 Kappa - Deformed Phase Space and Uncertainty Relations
We consider two realizations of the κ-deformed phase space obtained as a cross product algebra extension of k-Poincaré algebra. Two kinds of the κ-deformed uncertainty relations are briefly discussed.
متن کاملκ-deformed gauge theory and θ-deformed gravity
Noncommutative (deformed, quantum) spaces are deformations of the usual commutative space-time. They depend on parameters, such that for certain values of parameters they become the usual space-time. The symmetry acting on them is given in terms of a deformed quantum group symmetry. In this work we discuss two special examples, the θ-deformed space and the κ-deformed space. In the case of the θ...
متن کاملThe algebraic structure of the generalized uncertainty principle
We show that a deformation of the Heisenberg algebra which depends on a dimensionful parameter κ is the algebraic structure which underlies the generalized uncertainty principle in quantum gravity. The deformed algebra and therefore the form of the generalized uncertainty principle are fixed uniquely by rather simple assumptions. The string theory result is reproduced expanding our result at fi...
متن کاملDistance Measurement and Κ-deformed Propagation of Light and Heavy Probes
We investigate the implications for the measurability of distances of a covariant dimensionful “κ” deformation of D = 4 relativistic symmetries, with quantum time coordinate and modified Heisenberg algebra. We show that the structure of the deformed mass-shell condition has significant implications for measurement procedures relying on light probes, whereas in the case of heavy probes the most ...
متن کاملCosmology with minimal length uncertainty relations
We study the effects of the existence of a minimal observable length in the phase space of classical and quantum de Sitter (dS) and Anti de Sitter (AdS) cosmology. Since this length has been suggested in quantum gravity and string theory, its effects in the early universe might be expected. Adopting the existence of such a minimum length results in the Generalized Uncertainty Principle (GUP), w...
متن کامل