Closing the Coronal Heating Energy Budget

An Environment-Conditioned Dissipation-Partition Hypothesis for Reconnection and Wave/Turbulent Heating

The Closing the Coronal Heating Energy Budget paper develops a falsifiable framework for addressing a more precise version of the solar coronal-heating problem: not simply which mechanism heats the corona, but where, when, and in what proportion known energy-transfer channels convert injected magnetic and wave energy into heat across different coronal environments.

The required heating power for a defined coronal control volume is written as the thermal-energy change plus radiative, conductive, enthalpy, and mechanical losses,$$P_{\mathrm{req}} = \frac{dE_{\mathrm{th}}}{dt} + P_{\mathrm{rad}} + P_{\mathrm{cond}} + P_{\mathrm{enthalpy}} + P_{\mathrm{mech}}.$$

Candidate heating contributions are then separated into reconnection/current-sheet dissipation, $P_{\mathrm{rec}}$, wave/turbulent dissipation, $P_{\mathrm{wave}}$, and any explicitly declared additional conventional term, $P_{\mathrm{other}}$. The central closure residual is$$R_E = P_{\mathrm{req}} – \left( P_{\mathrm{rec}} + P_{\mathrm{wave}} + P_{\mathrm{other}} \right).$$

The primary hypothesis is that a combined mechanism model will reduce the local energy residual and improve held-out prediction of thermal evolution, emission measure, and EUV/X-ray response beyond either reconnection or wave heating alone.

A second hypothesis concerns mechanism partition. The framework predicts that the relative contribution of reconnection/current-sheet and wave/turbulent dissipation should vary systematically with magnetic environment rather than remain universal. Closed active-region structures are expected, on average, to show a larger reconnection/current-sheet contribution; open coronal-hole and fast-wind-source regions are expected to show a larger wave/turbulent contribution; quiet-Sun structures are expected to occupy a mixed regime; and open/closed transition regions may exhibit coupled behavior involving both mechanisms.

The paper also introduces mechanism-specific temporal-order tests. Reconnection-dominated heating should be preceded by measurable boundary stressing, current-sheet formation, topology change, or related impulsive signatures, while wave-dominated heating should be preceded by measurable wave-energy convergence, damping, or cascade signatures. A claimed mechanism is weakened if the thermal response systematically precedes the proposed energy-transfer precursor.

The methodology includes strong comparator models, uncertainty propagation, controls for double counting, DEM and filling-factor bias, conduction uncertainty, cadence mismatch, line-of-sight confusion, simulation-resolution effects, and remote-sensing versus in-situ interpretation. A ten-part falsification matrix defines conditions under which the combined closure or environment-partition hypotheses should be rejected or restricted.

A protocol-level reproducibility package accompanies the manuscript. It includes machine-readable preregistration fields, executable energy-budget functions, synthetic multi-environment demonstrations, mechanism-partition recovery, model-comparison scaffolding, empirical result templates, unit tests, and SHA-256 integrity manifests. The synthetic outputs verify only that the analysis pipeline functions as intended; they are not presented as observational evidence.

The purpose of this work is therefore to move the coronal-heating problem from broad mechanism debate toward quantitative local energy closure and environment-dependent dissipation mapping.

---