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Joined 2026-09-21 Message
Incoming links: Don N. Page
Don N. Page 2026-11-05
Don N. Page investigated equilibrium black-hole thermodynamics with Stephen Hawking. Their 1983 work showed that sufficiently large black holes in Anti-de Sitter spacetime can have positive heat capacity and coexist in stable thermal equilibrium with radiation.[ref]
Thermodynamics of black holes in anti-de Sitter space by Stephen Hawking and Don N. Page. Abstract and sections 2–3: temperature branches and canonical ensemble
The canonical ensemble distinguishes local stability from global preference: a locally stable black-hole solution need not have lower free energy than the competing thermal state.
Stephen Hawking 2026-11-05
Stephen Hawking studied how gravitation and quantum physics change thermal equilibrium. In his 1983 collaboration with Don N. Page, a negative cosmological constant altered the temperature–size relation of a black hole, permitting a large positive-heat capacity branch in Anti-de Sitter spacetime.[ref]
Thermodynamics of black holes in anti-de Sitter space by Stephen Hawking and Don N. Page. Sections 2–3: Euclidean temperature and canonical thermodynamics
This provided a concrete phase transition problem in black-hole thermodynamics, comparing the free energies of black-hole and thermal-radiation configurations under the same boundary conditions.
By Stephen Hawking and Don N. Page. Communications in Mathematical Physics 87, 577–588. Section 2 gives the Schwarzschild–anti-de Sitter geometry and its Euclidean temperature; section 3 treats the canonical ensemble and the distinction between local and global thermodynamic stability. The original printed paper is dated 1983, despite some repository records giving 1982.