Cross-scale eruption-to-front energy scaling

Determine whether the energy carried by a propagating EUV front scales linearly with the total energy released by the associated eruption, or whether the front-energy fraction changes systematically between compact quiet-Sun events, global waves, and shocks.

Background

The paper proposes a candidate relation between front-carried energy and released eruption energy, with the exponent determining whether the transported fraction is constant or varies with eruption scale. Current measurements combine unlike quantities and are too heterogeneous to support a universal fit.

A valid test requires paired, same-event measurements of compact-source heating, ejecta or dimming energy, and front energy, together with matched definitions, compression diagnostics, three-dimensional geometry, and uncertainty estimates. The unresolved question bears directly on whether eruption-to-front coupling is scale invariant and on which eruption scales could contribute to coronal heating.

References

The present measurements do not justify a universal fit, but they define a falsifiable question: does $$ scale linearly with $$, or does $/$ change from compact quiet-Sun events to global waves and shocks?

— Untangling EIT Waves: What a Measured Speed Actually Traces  (2609.10167 - Podladchikova, 9 Sep 2026) in Section 7, “Energetics across scales: from estimates to a falsifiable scaling law,” subsection “A same-event partition pilot: what is measured and what is not”