Lorentzequivariant flow with four delays of neutral type
Abstract
We generalize electrodynamics with a second interaction in lightcone. The timereversible equations for twobody motion define a semiflow in $C^2(\mathbb{R})$ with four statedependent delays of neutral type and nonlinear gyroscopic terms. Furthermore, if the initial segment includes velocity discontinuities, their propagation requires two energetic WeierstrassErdmann continuity conditions as the constraints defining the boundary layer neighborhoods of large velocities and small denominators. Finally, we discuss the motion restricted to a straight line and a fixed onedimensional segment with vanishing accelerations.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.07338
 Bibcode:
 2021arXiv211007338D
 Keywords:

 Physics  Classical Physics;
 Mathematics  Classical Analysis and ODEs
 EPrint:
 Inventory of postreferee changes: (a) replaced Fig. 3, (b) added sections 7C and 7D discussing serrated accelerations, (c) discussed a simple neutron model with vanishing farfields and constant velocities reflected by photonic kicks. (d) removed the word inversion layer and gave more details about the fixed segment