Spectrum Energy Research Foundation
Research Note 042

The Persistent Current Problem

What Is Actually Moving in a Superconductor?

September 7, 2026 · Draft v1.0 · CC BY-NC-SA 4.0 · Draft

© 2026 David R. Young — Spectrum Energy Research Foundation · CC BY-NC-SA 4.0

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A persistent current does not decay. Moving electrons is work. Work costs energy. These three facts cannot all be true if the electrons are moving.

A persistent current in a superconducting ring has been measured stable for years with no detectable decay. The upper bound on any resistance is below 10⁻²³ ohm-cm. Whatever is circulating in that ring is not losing energy.

The standard model of superconductivity (BCS theory) says the circulating entity is electrons — paired through lattice vibrations, flowing without scattering. But flowing electrons have mass, and moving mass is work. Work requires energy. Energy spent is energy the current loses. If the electrons are flowing, the current must decay — however slowly.

It does not decay. This note follows that contradiction to its conclusion.

1. The Deduction

This section contains no models. It is a logical consequence of three independently measured facts.

Fact 1: The persistent current in a superconducting ring does not decay. This has been measured directly, over periods of years, with instruments sensitive enough to detect decay rates many orders of magnitude smaller than any observed. No decay has been detected.

Fact 2: Electrons have mass (9.109 × 10⁻³¹ kg). Moving mass requires energy. This is not a model — it is a consequence of Newton's laws, confirmed by every measurement of kinetic energy ever performed. Even frictionless motion of mass requires energy to initiate and sustain. A frictionless puck on an air table is still a moving mass — the energy is in its motion, and that energy came from somewhere.

Fact 3: In a closed system, energy spent is energy lost. If the persistent current is spending energy to move electrons, that energy must come from the wave. Energy drawn from the wave means the wave weakens. A weakening wave means a decaying current.

The deduction: The current does not decay. Therefore the wave is not losing energy. Therefore it is not spending energy. Therefore it is not moving electrons.

This deduction does not depend on any model of what IS happening. It is a statement about what is NOT happening. Whatever the persistent current is, it is not electrons in motion. If it were, it would cost energy, and it would decay. It does not decay.

2. What We Are Measuring

If the electrons are not moving, what are we detecting when we measure "current" in a superconductor?

The measurement method is indirect. We do not see electrons moving. We measure a magnetic field around the conductor — the same field pattern that moving electrons would produce — and infer current from it. Every ammeter, every Hall probe, every SQUID magnetometer measures the field, not the electrons.

In a normal conductor, this inference is valid. The force wave moves through the conductor and pushes electrons as it passes (Research Note 021). The electron motion and the magnetic field are both present — two responses to the same wave. Measuring the field and inferring current works because both are there.

In a superconductor, the research proposes that only the wave is present. The material has decoupled — the wave passes without pushing the electrons. The magnetic field pattern is produced by the wave directly, not by electron motion. We measure the field and call it current because that is the only framework available. But if the electrons are not moving — as the deduction in Section 1 requires — then the "current" is the wave itself.

This is a model. It has not been directly confirmed by measurement. A distinguishing experiment would need to detect whether electrons are physically moving in a superconductor, independent of the magnetic field measurement. Section 8 discusses what such an experiment might look like.

3. Three States of One Event

Research Note 021 proposed that electricity is a force wave traveling through a conductor at the speed of light, with the electrons responding locally as the wave passes — not carrying the energy themselves. If that model is correct, three apparently different phenomena become three states of the same event.

Traveling: An electromagnetic wave in open space. The wave propagates at c through the quantum field. No conductor, no matter, no drain. The two terminals — electric and magnetic — feed each other forward. Each cycle hands off to the next position in the field. The wave persists indefinitely until it hits something.

Idling: A persistent current in a superconducting ring. The same wave, in a closed loop, circulating at c. The conductor provides the path geometry but does not interact with the wave (Section 5). No drain, no input needed. The wave persists because nothing is taking energy from it. This is the idling EM state — running, doing no work, available on demand.

Decaying: Current in a normal conductor. The same wave, but the material couples with it. The internal magnetic fields of the conductor resist displacement as the wave passes, draining energy from it. The wave weakens as it travels. In a straight wire, each wave makes one trip and ends when the conductor ends. In a ring, the wave circulates but decays exponentially with a time constant of L/R. A generator provides continuous input, sending new waves to replace the ones that die.

All three are the same mechanism. The difference is whether the path is open or closed, and whether anything drains the wave. Standard physics would describe these three phenomena through different frameworks: Maxwell's equations for the EM wave, BCS theory for the superconductor, and classical electrodynamics for normal conduction. The research proposes they are one event in three geometries.

4. What Causes Resistance

In the force wave model (Research Note 021), the wave rides the conductor's lattice. As it passes each point, it displaces the internal atomic magnetic fields outward. That displacement is a magnetic field moving through a conductor — which, by Faraday induction, produces a local current. The current holds the displaced field in position. The field sustains the current. Two terminals feeding each other.

But in a normal conductor, the internal magnetic fields resist being displaced. They push back. That pushback drains energy from the wave. The stronger the internal magnetic fields, the more resistance.

Standard physics explains resistance through electron scattering — electrons collide with lattice imperfections, phonons, and impurities, transferring kinetic energy to the lattice as heat. Both models predict the same observable: energy lost from the current, appearing as heat in the conductor. The models differ on what is losing the energy — electrons (standard) or the force wave (this research).

One observation favors the wave model: grain boundaries in copper increase resistance, and the increase correlates with the degree of lattice misalignment at the boundary. Standard physics explains this through disrupted electron wave functions. The force wave model explains it through misaligned magnetic fields at the boundary impeding the wave. Both predict the correct result. Neither is ruled out by this observation alone.

The superconductor provides a sharper test. If resistance comes from the material coupling with the wave, then removing the coupling removes the resistance — regardless of what the electrons are doing. This is what is observed: below the transition temperature, resistance drops to zero. The question is whether the coupling that disappeared is electron-lattice scattering (BCS) or wave-lattice interaction (decoupling model).

5. The Decoupling Model

The research proposes that superconductivity is the complete decoupling of the conductor's lattice from the electromagnetic force wave.

In a normal conductor, the lattice vibrates. Those vibrations interact with the force wave — the lattice moves with the wave, absorbs energy from it, drains it. This interaction is the coupling. The stronger the coupling, the more resistance.

At the transition temperature, the lattice vibrations drop below a threshold. The lattice becomes too quiet to interact with the wave. It stops responding. The wave passes through (or along the surface — see below) without the lattice absorbing any of its energy. Zero coupling. Zero resistance.

The skin effect provides a partial analogy. In a normal conductor at high frequencies, the wave penetrates less deeply — current concentrates near the surface. This is frequency-dependent partial decoupling: the rapid oscillation outruns the material's ability to respond at depth. At DC, full penetration returns. The skin effect is frequency-dependent.

A superconductor pushes all current to the surface regardless of frequency — DC, gigahertz, anything. The material has decoupled entirely, not because of frequency but because of its vibrational state. The two phenomena produce similar results (surface concentration of current) by different mechanisms. They are analogous, not identical.

What changes at the transition: The structural role of the lattice remains — it still defines the conductor's geometry, and the wave still follows every curve. What switches off is the responsive role. The lattice no longer moves with the wave, no longer absorbs energy from it. Structure without response. Path without friction.

The wave is attracted to the surface — it follows the conductor's geometry — but not attached to it — nothing in the material moves with the wave or drains it. Like a skater on ice: the surface is there, the skater follows it, but it does not grab.

Standard account for comparison: BCS theory attributes zero resistance to Cooper pairs — electrons paired through lattice vibrations (phonons) that stop scattering off the lattice. The condensate falls into a single quantum state with an energy gap that prevents individual pairs from scattering. The pairs flow without resistance. This model has quantitative predictions that match experiment: critical temperature, energy gap, isotope effect, specific heat jump. The decoupling model has not yet produced comparable quantitative predictions. The next two sections examine where the two models agree on data and diverge on interpretation.

6. What BCS Measured Correctly

BCS theory identifies the lattice vibration state as the critical variable for superconductivity. The data confirms this, and the research accepts it.

The isotope effect: Replace mercury-198 with mercury-204 — same element, same electronic structure, different nuclear mass — and the critical temperature drops. The only change is the mass of the lattice atoms. Whatever causes the transition is sensitive to lattice mass. BCS measured this. The measurement is sound.

The Debye temperature connection: Within a single element, every isotope transitions at the same ratio of Tc/θD — the same fraction of the lattice's maximum vibrational capacity. For mercury, this ratio is 0.0576, constant across all six measured isotopes (Hg-198 through Hg-204) to within 0.3%. The transition is not at an absolute temperature — it is at a relative one, defined by the lattice's own vibrational range.

Heavier isotopes have lower Debye temperatures (lower maximum vibrational frequency). They reach the critical vibrational threshold at a lower temperature. Lighter isotopes reach it higher. The isotope effect follows directly from the ratio being constant.

An important limit: The Tc/θD ratio is constant within a single element but varies by a factor of 1,775 across different elements (tungsten: 0.00004, lead: 0.069). The decoupling threshold depends on material properties beyond mass and maximum vibration frequency — lattice structure, bond strength, and other variables set where the threshold falls for each material. The single-element isotope effect is clean. The cross-element picture requires additional variables that have not yet been identified in this model.

Both BCS and the decoupling model agree: the lattice vibrational state determines the transition. The data is not in dispute. The question is what the lattice vibration is doing.

7. Where BCS Goes Wrong

BCS says: the lattice vibrations at the critical temperature have the right energy to pair electrons. The paired electrons flow through the lattice without scattering. The persistent current is persistent electron flow. Fix the electrons, fix the current.

The research identifies two problems with this.

First: the energy carrier. Research Note 021 established that the energy in a conductor travels as a force wave at the speed of light, and the electron movement is the local response — a side effect that costs energy rather than delivering it. The fastest electrons in a metal move at about 1–2% of the speed of light (Fermi velocity). The signal propagates at near c. No measured data puts electrons at light speed inside a conductor. The electrons are too slow by a factor of 100 or more to be the energy carrier. Standard physics agrees that the energy travels in the electromagnetic field at near c and that electrons drift slowly — the disagreement is whether this means the electron flow is the response (this research) or a separate valid description of the same current (standard physics).

Second: the persistence. The deduction in Section 1 applies directly. If the paired electrons are flowing — even without scattering — they are still moving. Moving mass is work. Work costs energy. The energy must come from the wave. If the wave is spending energy to move electrons, it decays. It does not decay. Therefore it is not moving electrons. Cooper pairs do not resolve this — they reduce scattering to zero, but they do not reduce the kinetic energy cost of moving mass to zero.

The correction: BCS measured the right variable (lattice vibrational state) and drew the wrong conclusion (phonons enable electron pairing). The decoupling model uses the same measurement and draws a different conclusion:

Same measured data. Same isotope effect. Same critical temperature. Same Tc/θD ratio. The difference is what the lattice vibration is doing: BCS says it enables electron pairing; the decoupling model says it determines whether the lattice can couple with the wave. Below the threshold, the lattice cannot grab it, and the wave glides through without loss.

8. Open Questions

  1. 1. Type II superconductors. Type II superconductors allow partial magnetic field penetration through quantized flux vortices while maintaining zero resistance. The decoupling model as stated requires complete field expulsion for zero resistance. Type II behavior needs examination — it may refine the model or reveal an additional mechanism.
  1. 2. Cross-element threshold variation. The Tc/θD ratio is constant within a single element but varies by a factor of 1,775 across different elements. What additional material properties determine the decoupling threshold for each element?
  1. 3. Direct measurement of electron motion. Can the absence of electron flow in a superconductor be measured directly — distinguishing the wave's magnetic field pattern from what electron flow would produce? One approach: detect the momentum transfer that flowing electrons would produce (radiation pressure, angular momentum in a rotating ring) and determine whether it matches the "current" inferred from the magnetic field.
  1. 4. The base's two roles. The decoupling model proposes that the lattice has a structural role (defining geometry) and a responsive role (interacting with the wave). The transition switches off the responsive role while the structural role remains. Can these two roles be separated experimentally — for example, by measuring whether the wave follows a conductor's geometry even when the conductor is fully decoupled?
  1. 5. Normal conduction as partial coupling. If resistance is wave-lattice coupling, resistance should correlate with lattice magnetic properties rather than (or in addition to) electron scattering. The best normal conductors (copper, silver, gold) have weak atomic magnetic fields. The worst (iron, nickel) have strong ones. This correlation is known. Standard physics attributes it to band structure differences. The force wave model attributes it to magnetic field drag. Can the two explanations be distinguished experimentally?
  1. 6. The kinetic energy test. BCS predicts that persistent current carries angular momentum (flowing electron pairs have mass in motion). The decoupling model predicts it does not (no mass in motion). A superconducting ring with persistent current, measured for rotational angular momentum, would distinguish the two models. If the ring carries angular momentum consistent with flowing electrons, BCS is confirmed. If it does not, the decoupling model is supported.

© 2026 David R. Young — Spectrum Energy Research Foundation

Licensed under CC BY-NC-SA 4.0 for research and education. Commercial use requires a separate license from Spectrum Energy Research Foundation. Contact: secharts@proton.me

© 2026 David R. Young — Spectrum Energy Research Foundation
Licensed under CC BY-NC-SA 4.0 for research and education. Commercial use requires a separate license from Spectrum Energy Research Foundation. Contact: secharts@proton.me

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