Doubly special relativity and translation invariance
نویسندگان
چکیده
منابع مشابه
Doubly Special Relativity
I give a short non-technical review of the results obtained in recent work on “Doubly Special Relativity”, the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent scales (the familiar velocity scale, c, and a new observer-independent length/momentum scale, naturally identified with the Planck length/momentum)...
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In this paper, the relation between the modified Lorenz boosts, proposed in the doubly relativity theories and a linear combination of Conformal Group generators in R1,d−1 is investigated. The introduction of a new generator is proposed in order to deform the Conformal Group to achieve the connection conjectured. The new generator is obtained trough a formal dimensional reduction from a free ma...
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We show that depending on the direction of deformation of κ-Poincaré algebra (time-like, space-like, or light-like) the associated phase spaces of single particle in Doubly Special Relativity theories have the energy-momentum spaces of the form of de Sitter, anti-de Sitter, and flat space, respectively.
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The modification of the quantummechanical commutators in a relativistic theory with an invariant length scale (DSR) is identified. Two examples are discussed where a classical behavior is approached in one case when the energy approaches the inverse of the invariant length which appears as a cutoff in the energy and in the second case when the mass is much larger than the inverse of the invaria...
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In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that includ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2009
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2009.01.023