Field-Aligned Current Closure as an Alfvén Circuit “Gate Test” Template (APM/QMU)

[aetherwizard]

Hi Thunderbolts community,

I’ve posted a short template paper on Zenodo that reframes magnetosphere–ionosphere coupling (auroral / Birkeland field-aligned currents) explicitly as a generator–transmission–load circuit closure problem, in the spirit of Hannes Alfvén, but written in a “ledger-first” normalization (QMU/APM) so the core observables become dimensionless and directly comparable across datasets.

Zenodo record (PDF + source ZIP):
https://zenodo.org/records/18217574 (DOI: 10.5281/zenodo.18217574) ()

What the template does (in practical terms)

Uses a propagation anchor (Ledger One)

A_u · curl = F_q^2 λ_C^2

with the bridge c = F_q λ_C, so A_u · curl = c^2
Important: “curl” here is a scalar torsional unit (a ledger quantity), not the vector operator ∇×. ()

Defines a minimal closure tuple in dimensionless variables

I* := Qdot / (chrg · F_q)

Φ* := ∫ E_parallel* dℓ*

R* := Φ* / I*
with ℓ* = ℓ/λ_C and E_parallel* normalized to a QMU field scale. (So R* is “resistance” by construction, normalized in the QMU resistance unit resn.) ()

Proposes three falsifiable “gates” you can test on archived FAC products
Gate A1 (Clustering): R* should cluster into preferred values (discrete closure modes), rather than fill a continuum, after geometry normalization.
Gate A2 (Monotone closure): (Φ*, I*) should trace an approximately single-valued load curve within a regime; regime changes correspond to localized boundary operators (e.g., double layers).
Gate A3 (Saturation): there is a geometry-dependent cap I* ≤ I*max; stronger driving triggers restructuring (filamentation / channel splitting / new boundary operators) rather than unbounded current growth. ()

Includes a small toy numerical illustration
It shows how to compute (I*, Φ*, R*) and what “clustering + saturation-with-restructuring” looks like in practice, so the gates are operational on day one. ()

Why I’m posting here

The Thunderbolts / EU community has long emphasized circuit language, Birkeland currents, and the centrality of double layers and boundary conditions. This template is meant to make that circuit view measurable and falsifiable in a compact way: pick a dataset (e.g., AMPERE/Iridium-derived global FAC maps plus any available parallel-E proxies), compute the starred closure tuple, and see whether the gates pass or fail.

If you have experience with:

auroral acceleration region phenomenology,

current–voltage relations in field-aligned structures,

evidence for discrete modes / preferred impedances,

signatures of saturation and restructuring (rather than smooth scaling),

…I would value your feedback on whether the proposed gates match what you’d expect physically, and which archived datasets (or specific events) are best suited for a first pass.

Thank you for taking a look.
— David W. Thomson III
Quantum AetherDynamics Institute