Lorenz fields convey energy as Nadelstrahlung

TL;DR

This paper develops Lorenz field equations revealing how certain polarization fields enable localized, particle-like energy transmission called Nadelstrahlung, which is suppressed in standard Maxwell fields due to gauge transformations.

Contribution

It introduces Lorenz field equations for superposed potentials, identifying polarization fields that produce emergent, localized radiation called Nadelstrahlung, unrecognized in traditional Maxwell theory.

Findings

Nadelstrahlung conveys energy as localized, particle-like rays.

Lorenz conditions relate to charge conservation.

Polarization fields enable emergent light-like radiation.

Abstract

Gauge transformations leave only specific Maxwell fields unchanged. To reveal more, I develop Lorenz field equations for superposed, sourced and unsourced, wave function potentials. In this Maxwell form system, the Lorenz condition is charge conservation. This allows me to define three transformation classes that screen for Lorenz relevance. Nongauge, sans gauge function, Lorentz conditions add polarization fields. These enable emergent, light-like radiation. That from Lissajous potentials is Nadelstrahlung. It conveys energy localized like particles at charge conserving, progressive phase points. Such rays escape discovery in modern Maxwell fields where gauge transformations suppress the polarizations.