Quantum-Magnetic and Gravitational Collapse

We study the thermodynamics of degenerate electron and charged vector boson gases in very intense magnetic fields. In degenerate conditions of the electron gas, the pressure transverse to the magnetic field may vanish, leading to a transverse collapse. For W bosons an instability arises because the magnetization diverges at the critical field Bc = M 2 W /e. If the magnetic field is self-consistently maintained, either the transverse collapse occurs at fields of order 2Bc/3, or the instability is avoided by some cooling mechanism.