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Rembieliński, Jakub; Smoliński, Kordian A.

doi:10.1023/a:1025478724592

Cited by 14 publications

(27 citation statements)

References 11 publications

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“…After finishing the work on our manuscript, we found that several other authors (based on different approaches and assumptions) have also pointed out strange consequences of DSR and/or concluded that DSR is either inconsistent with our present understanding of physics or trivial (i.e., indistinguishable from ordinary special relativity), see [29][30][31][32]. ‡ Note, however, that this result does not prove that DSR is conceptually inconsistent or in conflict with experiments or observations since we have not observed Planckian particles (at least not knowingly).…”

Section: Note Addedmentioning

confidence: 92%

Large-scale nonlocality in “doubly special relativity” with an energy-dependent speed of light

Schützhold

Unruh

2003

Jetp Lett.

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There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta -either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or the transformations from one frame to another are (nonlinearly) deformed ("doubly special relativity"). We demonstrate that the natural (and reasonable) assumption of an energy-dependent speed of light in the latter method goes along with violations of locality/separability (and even translational invariance) on macroscopic scales.

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Section: Note Addedmentioning

confidence: 92%

Large-scale nonlocality in “doubly special relativity” with an energy-dependent speed of light

Schützhold

Unruh

2003

Jetp Lett.

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“…Recently a number of authors have contributed to the study of such theories, discussing many aspects which we are not able to consider here [37,36,38]. However we are able to address a number of issues which concern the whole class of theories in which the lorentz transformations act non-linearly on momentum space.…”

Section: Introductionmentioning

confidence: 97%

Generalized Lorentz invariance with an invariant energy scale

2003

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The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the Lorentz transformations on momentum space. Several examples are discussed in which the speed of light varies with energy and elementary particles have a maximum momenta and/or energy. Energy and momentum conservation are suitably generalized and a proposal is made for how the new transformation laws apply to composite systems. We then use these results to explain the ultra high energy cosmic ray anomaly and we find a form of the theory that explains the anomaly, and leads also to a maximum momentum and a speed of light that diverges with energy. We finally propose that the spatial coordinates be identified as the generators of translation in Minkowski spacetime. In some examples this leads to a commutative geometry, but with an energy dependent Planck constant.lsmolin@perimeterinstitute.ca, j.magueijo@ic.ac.uk 1

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“…Second, even though one postulates the existence of observer-independent scales of velocity and mass, there is an open problem as to whether there exist physical probes moving with velocity c. The problem is that the DSR theory seems to predict that velocity of massless particles is wavelength dependent. One should note however that this conclusion follows from rather naive definition of velocity v = ∂E/∂| P |, where E = E( P ) is defined by the second Casimir of the DSR algebra (the problem of definition of velocities in DSR theories has been recently considered in [7], [8], [9], [10].) It is clear therefore that the velocity of a probe depends on momentum carried by it, and of course the velocity equals velocity of light c in the limit when the momentum is small compared to κc.…”

Section: Postulatesmentioning

confidence: 99%