• Corpus ID: 238856897

Lorentz-equivariant flow with four delays of neutral type

@inproceedings{Luca2021LorentzequivariantFW,
  title={Lorentz-equivariant flow with four delays of neutral type},
  author={Jayme De Luca},
  year={2021}
}
We generalize electrodynamics with a second interaction in lightcone. The timereversible equations for two-body motion define a semiflow on C(R) with four state-dependent delays of neutral type and nonlinear gyroscopic terms. Furthermore, if the initial segment includes velocity discontinuities, their propagation requires two energetic corner conditions defining boundary layer neighborhoods of large velocities and small denominators. Finally, we discuss a motion restricted to a straight line… 

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References

SHOWING 1-10 OF 40 REFERENCES
Can the future influence the present
One widely accepted model of classical electrodynamics assumes that a moving charged particle produces both retarded and advanced fields. This formulation first appeared at least 75 years ago. It was
Two-degree-of-freedom Hamiltonian for the time-symmetric two-body problem of the relativistic action-at-a-distance electrodynamics.
TLDR
A two-degree-of-freedom Hamiltonian is found for the time-symmetric problem of straight line motion of two electrons in direct relativistic interaction and suggests a simple prescription for the canonical quantization of the relativistically two-body problem.
Classical Electrodynamics
Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.
Calculus of Variations
Prof. FORSYTH'S latest work appears opportunely at a time when there is quite a notable revival of interest in the calculus of variations. To those who desire an account of the subject which, while
Chemical Principle and PDE of variational electrodynamics
Variational electrodynamics of Atoms
We generalize Wheeler-Feynman electrodynamics by the minimization of a finite action functional defined for variational trajectories that are required to merge continuously into given past and future
Response of an oscillatory differential delay equation to a periodic stimulus
TLDR
A simple model consisting of a delay differential equation with a piecewise linear nonlinearity, that has a periodic solution, is used to model the effect of a periodic disease or periodic chemotherapy and the response of this toy model to both single and periodic perturbations is examined.
The non-linear sewing lemma II: Lipschitz continuous formulation
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4
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