Journal ArticleDOI
The problem of mass in the LNR quantum Poincaré algebra
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In this paper, it was shown that the mass of a particle can be given three distinct definitions in ordinary special relativity, and that these definitions coincide in the quantum Poincare group introduced by Lukierski, Nowicki and Ruegg.About:
This article is published in Physics Letters B.The article was published on 1993-05-27. It has received 17 citations till now. The article focuses on the topics: Doubly special relativity & Problem of time.read more
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Representation-theory of quantized poincare algebra - tensor-operators and their applications to one-particle systems
Henri Ruegg,Valeriy N. Tolstoy +1 more
TL;DR: In this paper, a representation theory of the quantized Poincare (κ-Poincare) algebra (QPA) is developed and the Wigner-Eckart theorem for QPA is proven.
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On the physical contents of q-deformed Minkowski spaces
TL;DR: In this article, some physical aspects of q-deformed spacetimes are discussed and it is pointed out that under certain standard assumptions relating deformation and quantization, the classical limit (Poisson bracket description) of the dynamics is bound to contain unusual features.
Journal ArticleDOI
The existence of dark matter in question
TL;DR: One of the possible indications of deformed special relativity, based on a deformed Poincare group, is that energy is not additive for large systems as mentioned in this paper, which means that the total energy of the universe is not proportional to the number of particles it contains.
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Which deformations of the Poincare group
TL;DR: In this article, the present status of Poincare group in considering it as a fundamental object independent of the Minkowski space is analyzed and the observables associated with it are examined.
Journal ArticleDOI
On the physical contents of q-deformed Minkowski spaces
TL;DR: In this article, physical aspects of $q$-deformed spacetimes are discussed and it is pointed out that, under certain standard assumptions relating deformation and quantization, the classical limit (Poisson bracket description) of the dynamics is bound to contain unusual features.
References
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Localized States for Elementary Systems
T.D. Newton,Eugene P. Wigner +1 more
TL;DR: In this article, the authors formulated the properties of localized states on the basis of natural invariance requirements and found that the required properties uniquely define the set of localised states for elementary systems of non-zero mass and arbitrary spin.
Journal ArticleDOI
New quantum Poincaré algebra and κ-deformed field theory
TL;DR: In this paper, a real quantum Poincare algebra with standard real structure, obtained by contraction of Uq(O(3,2)) (q real), which is a standard real Hopf algebra, depending on a dimension-full parameter κ instead of q.
Book
Localizability and space in quantum physics
TL;DR: In this paper, the authors present a survey of light quanta (photons) and present a historical survey of the ideas involved, including the principles of complementarity and correspondence, as well as the quantization procedure.