A new approach to the problem of superluminous velocity

Chang, Tsao

doi:10.1088/0305-4470/12/8/002

Cited by 14 publications

(15 citation statements)

References 5 publications

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“…The first step toward a solution of this problem can be found in the papers by Chang [25,26,27], who introduced four-dimensional version of the Tangherlini transformations [28], termed the Generalized Galilean Transformations (GGT). In [10] it was shown that GGT, extended to form a group, are hidden (nonlinear) form of the Lorentz group transformations with SO(3) as a stability subgroup.…”

Section: Preliminariesmentioning

confidence: 99%

Tachyons and Preferred Frames

Rembieliński

1997

Int. J. Mod. Phys. A

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Quantum field theory of space-like particles is investigated in the framework of absolute causality scheme preserving Lorentz symmetry. It is related to an appropriate choice of the synchronization procedure (definition of time). In this formulation existence of field excitations (tachyons) distinguishes an inertial frame (privileged frame of reference) via spontaneous breaking of the so called synchronization group. In this scheme relativity principle is broken but Lorentz symmetry is exactly preserved in agreement with local properties of the observed world. It is shown that tachyons are associated with unitary orbits of Poincaré mappings induced from SO(2) little group instead of SO(2, 1) one. Therefore the corresponding elementary states are labelled by helicity. The cases of the helicity λ = 0 and λ = ± 1 2 are investigated in detail and a corresponding consistent field theory is proposed. In particular, it is shown that the Dirac-like equation proposed by Chodos et al. [1], inconsistent in the standard formulation of QFT, can be consistently quantized in the presented framework. This allows us to treat more seriously possibility that neutrinos might be fermionic tachyons as it is suggested by experimental data about neutrino masses [2,3,4].

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Section: Preliminariesmentioning

confidence: 99%

Tachyons and Preferred Frames

Rembieliński

1997

Int. J. Mod. Phys. A

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“…In contrast, the geometrical properties of the space and time are very different in the inertial transformations because the 4-line element and the metric tensor are not defined. This is the reason why Maxwell's equations in the moving frame S ′ have a different form in our formulation compared with those obtained by Chang [6,7] and by Rembieliński [8]. For example, the first Maxwell equation (7) and the first supplementary equation (8) remain invariant in ref.…”

Section: Discussionmentioning

confidence: 83%

“…A previous study in this line was realized by Chang [6,7] and by Rembieliński [8] who derived the Maxwell equations under the Tangherlini transformations (in which the 4-line element is an invariant). Rembieliński [8,9], moreover, have shown that the Tangherlini transformations form a subclass of the v-dependent transformations of the Lorentz group.…”

Section: Discussionmentioning

confidence: 99%

“…Particularly, in this transformation the four-dimensional line element is considered as an invariant [2,6,7,8,9,10,11] and, therefore, the Minkowski metric appears modified in the moving system losing its diagonality. As a consequence, the co-variant and contra-variant components have different properties: if the contra-variant component of the temporal coordinate is only dilated, its covariant component mixes space and time; while the opposite happens with the spatial coordinate.…”

Section: Introductionmentioning

confidence: 99%

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Electrodynamics Under a Possible Alternative to the Lorentz Transformation

Puccini

2003

Foundations of Physics Letters

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A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate two inertial frames: the privileged frame S and the moving frame S ′ with velocity v with respect to S. b) The transformation of the fields from S to the moving frame S ′ is given by H ′ = a(H−v×D) and E ′ = a(E+v×B) where a is a matrix whose elements depend of the absolute velocity of the system. c) The constitutive relations in the moving frame S ′ are given by D ′ = ǫE ′ , B ′ = µH ′ and J ′ = ηE ′ . It is found that Maxwell's equations, which are transformed to the moving frame, take a new form depending on the absolute velocity of the system. Moreover, differing from classical electrodynamics, it is proved that the electrodynamics proposed explains satisfactorily the Wilson effect.

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“…Since that time a number of papers have appeared (see, for example [5], [6]) where some partial results of Ref. [4] are discussed.…”

Section: Introductionmentioning

confidence: 99%