We discuss the thermodynamics of degenerate electron and charged vector boson gases in very intense magnetic fields.In degenerate conditions of the electron gas, there is a dependence of density with regard to field intensity for which the pressure transverse to the magnetic field vanishes, leading to a transverse collapse.For W bosons an instability arises because the magnetization diverges at the critical field B c = M 2 W /e. If the magnetic field is self-consistently maintained, either the transverse collapse occurs at fields of order 2B c /3, or the instability is avoided by some cooling mechanism.