Poynting vector controversy in axion modified electrodynamics

The most sensitive haloscopes that search for axion dark matter through the two photon electromagnetic anomaly, convert axions into photons mixing of with a large DC magnetic field. In this work we apply Poynting theorem to resulting modified electrodynamics and identify possible vectors, one similar Abraham vector other Minkowski in electrodynamics. latter picks up extra non-conservative terms while former does not. To understand source energy conversion power flow detection systems, theorems electrodynamics, both resonant cavity broadband low-mass detectors. We show give same sensitivity haloscope, but predict markedly different capacitive haloscope. Hence ask question, can understanding which is correct detection, be considered under framework Abraham-Minkowski controversy? reality, should confirmed by experiment when detected. However, many electrodynamic experiments have ruled favour considering canonical momentum dielectric media. light this, indeed taken seriously calculation haloscope detectors quasi static limit, orders magnitude better than equivalent.