A covariant entropy conjecture | Zendy

Raphael Bousso | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A covariant entropy conjecture

Author(s) -

Raphael Bousso

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/07/004

Subject(s) - conjecture , hypersurface , covariant transformation , entropy (arrow of time) , geodesic , mathematical physics , einstein , upper and lower bounds , mathematics , physics , invariant (physics) , theoretical physics , pure mathematics , mathematical analysis , thermodynamics

We conjecture the following entropy bound to be valid in all space-timesadmitted by Einstein's equation: Let A be the area of any two-dimensionalsurface. Let L be a hypersurface generated by surface-orthogonal null geodesicswith non-positive expansion. Let S be the entropy on L. Then S does not exceedA/4. We present evidence that the bound can be saturated, but not exceeded, incosmological solutions and in the interior of black holes. For systems withlimited self-gravity it reduces to Bekenstein's bound. Because the conjectureis manifestly time reversal invariant, its origin cannot be thermodynamic, butmust be statistical. Thus it places a fundamental limit on the number ofdegrees of freedom in nature.Comment: 41 pages, 7 figures. v2,v3: references adde

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research