The Phenomenon carries the broader question of anomalous forces. Longitudinal electromagnetics asks whether an additional field mode exists and what measurable trace would distinguish it. A mode is a distinct pattern through which a field propagates. The proposed pattern differs from transverse radiation, whose fields act across the direction of travel.
The Physical Boundary
Classical electromagnetism already contains longitudinal electric fields. Charges produce them, and near fields contain them. Waveguides carry field components along their axes. Plasmas support longitudinal oscillations that propagate through their charged particles.
Source-free vacuum has a different boundary. Standard Maxwell theory gives freely propagating radiation two transverse degrees of freedom. The radiation field remains physically unchanged under allowed changes of gauge. This gauge-invariant field contains no third, freely propagating physical photon mode.
The four-potential is a mathematical description from which the electric and magnetic fields are obtained. It can contain scalar or longitudinal components before a gauge is fixed. Their presence in the description does not establish an additional observable field.
Gauge choice removes redundancy in that description while preserving its physical predictions. Choosing a gauge therefore suppresses no physical energy transport by itself. An additional mode must appear through gauge-invariant observables, measurements that stay unchanged when the gauge changes.
A claimed missing mode must also produce a distinct trace. Ordinary charge distributions, near fields, conductors, waveguides, and plasma modes already produce longitudinal effects. The trace must exceed what those mechanisms can explain.
Tesla’s Experimental Claims
Nikola Tesla reported phenomena unlike ordinary Hertzian radiation during his Colorado Springs work and planning for Wardenclyffe. He described high-frequency currents conducted through the Earth and resonant standing-wave behavior. His proposed transmission system coupled through the ground and atmosphere. It sought to deliver power through that coupling instead of radiating indiscriminately into free space.
Tesla’s claims preserve an experimental route through his apparatus and reported effects. They do not by themselves demonstrate a longitudinal electromagnetic wave traveling through empty space. Earth currents and capacitive coupling can produce longitudinal field components. Resonant circuits and guided or surface modes can produce them as well.
The missing-channel thesis begins with a recorded measurement that these mechanisms cannot explain. The experiment must separate the proposed channel from the ordinary processes that the apparatus also supports.
The Bearden Interregnum
Thomas Bearden and associated authors revived the longitudinal proposal under the name scalar electromagnetics. Their work combined claims about Maxwell’s quaternion formulation, potentials, vacuum energy, and over-unity devices. The last term names devices claimed to deliver more energy than their measured input supplies.
Institutional dismissal cannot decide the physical case. Formal vocabulary also cannot supply the missing measurement. Bearden’s program becomes physics when a specified source produces a repeatable, gauge-invariant effect that standard theory does not predict. The apparatus and result must carry the argument.
Minderle’s Proposed Λ Channel
Thomas Minderle’s self-published preprint, “Derivation of Induced Charge Density in Ungauged Electrodynamics” (April 8, 2026), defines the gauge-deviation quantity Λ. It proposes an induced charge-density signature:
δρ_induced = −ε₀ ∂Λ/∂tThe equation supplies a proposed route for detection. It establishes no discovered mode. The current source record supplies no journal venue, DOI, stable paper URL, peer review, or independent experiment.
A physical channel requires Λ to connect with gauge-invariant electric or magnetic observables. Its source and continuity conditions must remain consistent. The channel must carry nonzero energy. An experiment must distinguish its signal from ordinary capacitive, conductive, plasma, and near-field effects.
The Missing Mode Must Leave a Trace
Institutions can ignore inconvenient apparatus and withhold support for replications. A failed vocabulary can also bury a real effect. These actions leave suppression as a live possibility. Convention alone establishes no buried mode; the proposed effect still requires its own trace.
The decisive experiment specifies the source and detector, together with their geometry. It establishes the attenuation law, which describes how the signal weakens with distance. It also accounts for the energy entering and leaving the system. Its result must exceed what ordinary Maxwell theory can reproduce.
Tesla supplies the apparatus lineage, while Minderle supplies a proposed observable. Calling a gauge the Lock supplies no additional measurement. The next step is a trace that survives every allowed change of gauge and every conventional control.
References
Tesla, Nikola. Colorado Springs Notes, 1899–1900. Nolit, 1978.
Jackson, John David. Classical Electrodynamics. 3rd ed. Wiley, 1998.
Minderle, Thomas. “Derivation of Induced Charge Density in Ungauged Electrodynamics.” Self-published preprint, April 8, 2026. No stable public URL recorded as of July 28, 2026.