Electrostatics in Stueckelberg-Horwitz electrodynamics

Land, Martin

doi:10.1088/1742-6596/437/1/012012

Cited by 3 publications

(3 citation statements)

References 21 publications

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“…Inserting eqs. (28) and (29) in eq. (31) and using the adopted CM frame, one could show that the components of the current of the particle 1 assume the form…”

Section: Maxwell Electrodynamics In 5dmentioning

confidence: 99%

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Fermion interparticle potentials in 5D and a dimensional restriction prescription to 4D

Ospedal

Helayël-Neto

2018

Phys. Rev. D

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This work sets out to compute and discuss effects of spin, velocity and dimensionality on interparticle potentials systematically derived from gauge field-theoretic models. We investigate the interaction of fermionic particles by the exchange of a vector field in a parity-preserving description in five-dimensional (5D) space-time. A particular dimensional reduction prescription is adopted − reduction by dimensional restriction − and special effects, like a pseudo-spin dependence, show up in four dimensions (4D). What we refer to as pseudo-spin shall be duly explained. The main idea we try to convey is that the calculation of the potentials in 5D and the consequent reduction to 4D exhibits new effects that are not present if the potential is calculated in 4D after the action has been reduced.

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“…Inserting eqs. (28) and (29) in eq. (31) and using the adopted CM frame, one could show that the components of the current of the particle 1 assume the form…”

Section: Maxwell Electrodynamics In 5dmentioning

confidence: 99%

“…[28], the authors applied this integration in the fields and currents − they called it a concatenation − and this prescription was used in the Off-Shell Electrodynamics (see, for example, ref. [29]). In our case, a different point of view is adopted.…”

Section: By Inspecting the Canonical Mass Dimension Of The Fields Andmentioning

confidence: 99%

Fermion interparticle potentials in 5D and a dimensional restriction prescription to 4D

Ospedal

Helayël-Neto

2018

Phys. Rev. D

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“…The resulting pre-Maxwell theory differs from conventional electrodynamics, but reduces to Maxwell theory at τ equilibrium. An overview of pre-Maxwell electrodynamics can be found in [4].…”

Section: Introductionmentioning

confidence: 99%

Field signature for apparently superluminal particle motion

Land

2015

J. Phys.: Conf. Ser.

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In the context of Stueckelberg's covariant symplectic mechanics, Horwitz and Aharonovich [1] have proposed a simple mechanism by which a particle traveling below light speed almost everywhere may exhibit a transit time that suggests superluminal motion. This mechanism, which requires precise measurement of the particle velocity, involves a subtle perturbation affecting the particle's recorded time coordinate caused by virtual pair processes. The Stueckelberg framework is particularly well suited to such problems, because it permits pair creation/annihilation at the classical level. In this paper, we study a trajectory of the type proposed by Horwitz and Aharonovich, and derive the Maxwell 4-vector potential associated with the motion. We show that the resulting fields carry a signature associated with the apparent superluminal motion, providing an independent test for the mechanism that does not require direct observation of the trajectory, except at the detector.

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Pair production in classical Stueckelberg-Horwitz-Piron electrodynamics

Land

2015

J. Phys.: Conf. Ser.

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In this paper we calculate pair production from bremsstrahlung as a classical effect in Stueckelberg-Horwitz-Piron electrodynamics. In this framework, worldlines are traced out dynamically through the evolution of events x µ (τ) parameterized by a chronological time τ that is independent of the spacetime coordinates. These events, defined in an unconstrained 8D phase space, interact through five τ-dependent gauge fields induced by the event evolution. The resulting theory differs in its underlying mechanics from conventional electromagnetism, but coincides with Maxwell theory in an equilibrium limit. In particular, the total massenergy-momentum of particles and fields is conserved, but the mass-shell constraint is lifted from individual interacting events, so that the standard Feynman-Stueckelberg interpretation of pair creation/annihilation is implemented in classical mechanics.We consider a three-stage interaction which when parameterized by the laboratory clock x 0 appears as (1) particle-1 scatters on a heavy nucleus to produce bremsstrahlung, (2) the radiation field produces a particle/antiparticle pair, (3) the antiparticle is annihilated with particle-2 in the presence of a second heavy nucleus. When parameterized in chronological time τ, the underlying process develops as (1) particle-2 scatters on the second nucleus and begins evolving backward in time with negative energy, (2) particle-1 scatters on the first nucleus and releases bremsstrahlung, (3) particle-2 absorbs radiation which returns it to forward time evolution with positive energy.

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Electrostatics in Stueckelberg-Horwitz electrodynamics

Cited by 3 publications

References 21 publications

Fermion interparticle potentials in 5D and a dimensional restriction prescription to 4D

Fermion interparticle potentials in 5D and a dimensional restriction prescription to 4D

Field signature for apparently superluminal particle motion

Pair production in classical Stueckelberg-Horwitz-Piron electrodynamics

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