Chandrasekhar Limit

White dwarf stability at the quantum boundary — where electron degeneracy pressure meets general relativity

Stellar Mass
1.00 M☉
Status
Stable
Core Density
1.0×10⁶
Fermi Energy
0.51 MeV
Chandrasekhar (1931): White dwarfs are supported by electron degeneracy pressure — the Pauli exclusion principle forbids two electrons sharing the same quantum state. As mass increases, electrons become relativistic and the pressure-density relation softens from P∝ρ⁵′³ to P∝ρ⁴′³. At the Chandrasekhar limit MCh ≈ 5.83/μₑ² M☉ ≈ 1.44 M☉, this pressure can no longer support the star — collapse to a neutron star or Type Ia supernova follows.