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Related Experiment Video

Updated: Feb 3, 2026

Preparation and Reactivity of Gasless Nanostructured Energetic Materials
09:50

Preparation and Reactivity of Gasless Nanostructured Energetic Materials

Published on: April 2, 2015

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Energy velocity and reactive fields.

Hans G Schantz1

  • 1Q-Track Corporation, 2223 Drake Avenue SW 1st Floor, Huntsville, AL 35805, USA h.schantz@q-track.com.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 31, 2018
PubMed
Summary
This summary is machine-generated.

This study redefines electromagnetic near fields by analyzing energy velocity and field reactivity. It reveals how fields guide energy, resolving paradoxes and linking classical electromagnetism to pilot wave theory.

Keywords:
HeavisideLagrangianenergy velocitynear fieldreactive field

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Area of Science:

  • Electromagnetism
  • Quantum Mechanics
  • Classical Electrodynamics

Background:

  • Current definitions of electromagnetic near fields lack explanatory power regarding their nature and behavior.
  • Oliver Heaviside's 1893 work on electromagnetic energy velocity is foundational.
  • Energy propagation differs between radiated and reactive fields, slowing in the latter.

Purpose of the Study:

  • To provide a new framework for understanding electromagnetic near fields.
  • To elucidate the relationship between field reactivity, energy velocity, and wave interference.
  • To connect classical electromagnetic theory with pilot wave theory.

Main Methods:

  • Combining Heaviside's energy velocity relation with the field Lagrangian.
  • Developing a parametrization for electromagnetic field reactivity.
  • Analyzing energy guidance by interfering electromagnetic waves.

Main Results:

  • A novel parametrization for electromagnetic field reactivity was derived.
  • Energy propagation in reactive fields was shown to slow, approaching zero in static fields.
  • The study resolves the paradox of runaway acceleration from radiation reaction.
  • A direct link between classical electromagnetism and pilot wave theory was established.

Conclusions:

  • The new framework offers profound insights into electromagnetic systems.
  • Pilot wave theory emerges as a natural consequence of classical electromagnetic principles.
  • This work clarifies the role of fields in guiding energy, distinct from wave trajectories.