We use 3+1D quasiparticle anisotropic hydrodynamics (aHydroQP) to make predictions for kaon Hanbury-Brown-Twiss (HBT) radii in 200 GeV and 5.02 TeV heavy-ion collisions. Using previously determined aHydroQP parameters, we compute kaonic HBT radii and their ratios as a function of the mean transverse momentum of the pair . We first consider Au-Au collisions at 200 GeV, finding good agreement between aHydroQP predictions and experimental data up to GeV. We then present predictions for kaonic HBT radii and their ratios in 5.02 TeV Pb-Pb collisions. Our aHydroQP predictions do not exhibit a clear scaling of the pion and kaon source radii, however, an approximate transverse mass scaling is observed, particularly at 200 GeV.

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