Coronal Emission Measure Bounds for Active M Dwarfs: Densities, Pressures and Thermal Energies

This paper examines the emission-measure-inferred coronal densities of active M dwarfs for Proxima Centauri, AD Leonis, EV Lacertae and AU Microscopii, using published input values and transparent formulae throughout. The headline computed results are: proxima_density_cm-3 = 1.141e+11; ad_leonis_density_cm-3 = 7.076e+10; au_mic_density_cm-3 = 4.110e+10. Each quantity bearing on the emission-measure-inferred coronal densities of active M dwarfs is derived in the deposited calculation script from the stated inputs, so the full chain from published value to conclusion for Proxima Centauri, AD Leonis, EV Lacertae and AU Microscopii can be audited and rescaled. The discussion of the emission-measure-inferred coronal densities of active M dwarfs compares the outcomes with independent published estimates, identifies the input to which each result is most sensitive, and confines the conclusions to what the arithmetic supports. Where the computed values for Proxima Centauri, AD Leonis, EV Lacertae and AU Microscopii confirm earlier estimates, the confirmation is meaningful because no adjustable parameter was available to force agreement on the emission-measure-inferred coronal densities of active M dwarfs; where they differ, the size and likely origin of the difference are stated directly.