B
B9
Across seven cooling-flow galaxy clusters, the soft X-ray surface brightness of filaments isolated by sparse blind source separation of Chandra data tracks the H-alpha surface brightness from MUSE and SITELLE nearly linearly (SB_X about 3.4 SB_Halpha^0.94), with small intrinsic scatter, matching chaotic cold accretion simulations. Comparing electron pressures shows the hot and warm filament phases are not in thermal pressure balance, implying magnetic or turbulent support, and points to turbulent mixing layers where hot gas cools and condenses into the warm phase.