by heehaw » Mon Jan 11, 2016 10:16 pm
White dwarf as quantum-mechanical object? yes! the uncertainty principle is Δr × Δp = h (Planck constant). Each electron in Sirius B is confined to such a tiny Δr that Δp (the uncertainty in the momentum) must be very great, no matter how cold the gas is! So, it can't collapse! (at still higher pressures, the electrons merge with the protons and form neutrons, and so collapse does occur, until the quantum-mechanical momentum of the neutrons provides support, and now you have a neutron star.) Really extremely simple physics, with huge intellectual consequences!
White dwarf as quantum-mechanical object? yes! the uncertainty principle is Δr × Δp = h (Planck constant). Each electron in Sirius B is confined to such a tiny Δr that Δp (the uncertainty in the momentum) must be very great, no matter how cold the gas is! So, it can't collapse! (at still higher pressures, the electrons merge with the protons and form neutrons, and so collapse does occur, until the quantum-mechanical momentum of the neutrons provides support, and now you have a neutron star.) Really extremely simple physics, with huge intellectual consequences!