On 4/28/2015 3:02 PM, LizR wrote:
Thanks. I'd be interested to know if this continues to pan out for other phenomena
apart from the "entropy of entanglement". I believe the original version (with
anti-deSitter space) allows quite a lot of phenomena that are intractable in one
formulation to be worked out in the complementary one, so I hope this result will
eventually lead to the solution of problems that are currently intractable in flat
spacetime, preferably solutions to questions posed by quantum gravity about black holes etc.
And a related paper:
/Universality of Gravity from Entanglement//
//Brian Swingle, Mark Van Raamsdonk//
//(Submitted on 12 May 2014)//
//
// The entanglement "first law" in conformal field theories relates the entanglement
entropy for a ball-shaped region to an integral over the same region involving the
expectation value of the CFT stress-energy tensor, for infinitesimal perturbations to the
CFT vacuum state. In recent work, this was exploited at leading order in N in the context
of large N holographic CFTs to show that any geometry dual to a perturbed CFT state must
satisfy Einstein's equations linearized about pure AdS. In this note, we investigate the
implications of the leading 1/N correction to the exact CFT result. We show that these
corrections give rise to the source term for the gravitational equations: for
semiclassical bulk states, the expectation value of the bulk stress-energy tensor appears
as a source in the linearized equations. In particular, the CFT first law leads to
Newton's Law of gravitation and the fact that all sources of stress-energy source the
gravitational field. In our derivation, this universality of gravity comes directly from
the universality of entanglement (the fact that all degrees of freedom in a subsystem
contribute to entanglement entropy). //
//
// arXiv:1405.2933v1 [hep-th] /
Brent
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