Superluminal waves and objects: An overview of the relevant experiments

Recami, Erasmo

doi:10.1088/1742-6596/196/1/012020

Cited by 29 publications

(39 citation statements)

References 111 publications

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“…The restricted and super-restricted sets are matched with the subluminal and superluminal frames, or to bradyon and tachyon particles respectively. The present interpretation is then in accordance with the now common description of Recami [18] and others [19]. With respect to the composition of orthogonal velocities, our interpretation is that tachyons or bradyons are seen as such regardless of the frame velocity in a perpendicular direction provided it is not in the null geodesic.…”

Section: Discussionsupporting

confidence: 90%

Hyperbolic Superluminal Scator Algebra

Fernández‐Guasti

Zaldívar

2014

Adv. Appl. Clifford Algebras

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An alternate time-space framework is proposed by means of a hyperbolic scator algebraic formalism where the deformed Lorentz transformations are an immediate consequence of the formal properties of the algebra. We survey the group properties of the hyperbolic product in the restricted, super-restricted and zero magnitude subsets as well as in the complete scator set. Some properties of the magnitude are derived together with a decomposition of 1 + n dimensional scators in n products of scator elements with scalar component and only one non-vanishing director component. These results are used to describe the scator properties in 1 + n dimensions. The super-restricted subset is associated with superluminal frames or tachyons. The various compositions of subluminal and superluminal events in the same direction follow the canonical superluminal Lorentz transformations interpretation. Composition of orthogonal components produce novel results. Products of scators with components within and outside the light pyramid yield sub or super luminal scators as well as scators belonging to a mixed state.

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Section: Discussionsupporting

confidence: 90%

Hyperbolic Superluminal Scator Algebra

Fernández‐Guasti

Zaldívar

2014

Adv. Appl. Clifford Algebras

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“…Several theoretical and experimental studies in the past decades have examined phenomena involving superluminal waves and objects because of their implication in quantum and cosmological physics [1][2][3][4][5][6][7][8][9]. Among them, the study of the tunneling time problem is one of the topics that has most attracted the interest of quantum physicists [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Superluminal tunneling of a relativistic half-integer spin particle through a potential barrier

Nanni

2017

Open Physics

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This paper investigates the problem of a relativistic Dirac half-integer spin free particle tunneling through a rectangular quantum-mechanical barrier. If the energy difference between the barrier and the particle is positive, and the barrier width is large enough, there is proof that the tunneling may be superluminal. For first spinor components of particle and antiparticle states, the tunneling is always superluminal regardless the barrier width. Conversely, the second spinor components of particle and antiparticle states may be either subluminal or superluminal depending on the barrier width. These results derive from studying the tunneling time in terms of phase time. For the first spinor components of particle and antiparticle states, it is always negative while for the second spinor components of particle and antiparticle states, it is always positive, whatever the height and width of the barrier. In total, the tunneling time always remains positive for particle states while it becomes negative for antiparticle ones. Furthermore, the phase time tends to zero, increasing the potential barrier both for particle and antiparticle states. This agrees with the interpretation of quantum tunneling that the Heisenberg uncertainty principle provides. This study's results are innovative with respect to those available in the literature. Moreover, they show that the superluminal behaviour of particles occurs in those processes with high-energy confinement.

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“…Recami [1] quotes Sudarshan with reference to an imaginary demographer who studies population patterns on the Indian subcontinent: "Suppose a demographer calmly asserts that there are no people North of the Himalayas, since none could climb over the mountain ranges! That would be an absurd conclusion.…”

Section: Introductionmentioning

confidence: 99%

“…A number of experimental groups have measured negative mass squares for the electron neutrino from tritium beta decay endpoints [6][7][8][9] with mean values in the interval −147 eV 2 < 2 ν < 0 for the electron neutrino mass square, at an energy of the order of E ν ≈ 18 keV. While some recent measurements indicate values consistent with a vanishing neutrino mass [10][11][12] at even lower energies, the mean value of the experimental data for 2 ν (electron neutrino) still is negative and of the order of a few negative eV 2 (for an excellent overview, see The Ultimate Neutrino Page 1 ). The idea that neutrinos might be of tachyonic character is not new [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…The noncovariant dispersion relation E ν = | | ν has been used in recent work on the subject [27] (here, ν denotes the neutrino velocity). Freely propagating subluminal relativistic particles as well as tachyons [1,23,24] fulfill the "opposite" relation | | = E ν ν . Both relations E ν = | | ν and | | = E ν ν lead to a large virtuality |E 2 ν − 2 | on the order of (117 MeV) 2 when applied to the recently measured OPERA data [see Eqs.…”

Section: Introductionmentioning

confidence: 99%

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Tachyonic field theory and neutrino mass running

Jentschura

2012

Open Physics

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Abstract:In this paper three things are done. (i) We investigate the analogues of Cerenkov radiation for the decay of a superluminal neutrino and calculate the Cerenkov angles for the emission of a photon through a W loop, and for a collinear electron-positron pair, assuming the tachyonic dispersion relation for the superluminal neutrino. The decay rate of a freely propagating neutrino is found to depend on the shape of the assumed dispersion relation, and is found to decrease with decreasing tachyonic mass of the neutrino.(ii) We discuss a few properties of the tachyonic Dirac equation (symmetries and plane-wave solutions), which may be relevant for the description of superluminal neutrinos seen by the OPERA experiment, and discuss the calculation of the tachyonic propagator. (iii) In the absence of a commonly accepted tachyonic field theory, and in view of an apparent "running" of the observed neutrino mass with the energy, we write down a model Lagrangian, which describes a Yukawa-type interaction of a neutrino coupling to a scalar background field via a scalar-minus-pseudoscalar interaction. This constitutes an extension of the standard model. If the interaction is strong, then it leads to a substantial renormalization-group "running" of the neutrino mass and could potentially explain the experimental observations. PACS

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Superluminal waves and objects: An overview of the relevant experiments

Abstract: -Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation Ulrich D Jentschura et al

Cited by 29 publications

References 111 publications

Hyperbolic Superluminal Scator Algebra

Hyperbolic Superluminal Scator Algebra

Superluminal tunneling of a relativistic half-integer spin particle through a potential barrier

Tachyonic field theory and neutrino mass running

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