On Divergence in Radiation Fields

TL;DR

This paper explores how electromagnetic radiation can be modulated beyond superposition principles, with implications for energy conservation, neural stimulation, and human-computer interaction.

Contribution

It introduces a theoretical framework for multiplicative modulation of radiation by modifying Maxwell's equations, expanding potential applications in medicine and HCI.

Findings

Electromagnetic fields may require attenuation or amplification to conserve energy.

Additional terms in Maxwell's equations enable non-superpositional modulation.

Potential applications include focused neural stimulation for diagnostics and therapy.

Abstract

Three thought experiments demonstrate that under certain circumstances electromagnetic fields have to be attenuated or amplified multiplicatively in order not to violate the conservation of energy. Modulation of radiation by means other than superposition is theoretically made possible by plugging additional terms into the source slots of the Maxwell equations. Thus modulated radiation would enable the well focused stimulation of neurons for diagnostic and therapeutic purposes and for HCI applications.