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Quadrupole Cusps Pressure Balance
Dimensional analysis: Energy/Vol Force/Area = Pressure. Thus mechanisms that equalize pressure will also equalize energy density.
In a galaxy with a dipole magnetic field embedded in a flowing plasma, the cusp topology (and strength of the magnetic field) is affected by the ram pressure. Thus we can write an equilibrium:
PGCR + Pmag + Pstarlight = Pram_H + PCMB
Assuming that equipartition has balanced the IGM Pram_H = PCMB
Thus we explain all these “coincidences” as a pressure equilibrium in the quadrupole cusp