Browsing by Author "Parikh, Maulik"

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Mach's holographic principle
(2006-12-13) Khoury, Justin; Parikh, Maulik
Mach’s principle is the concept that inertial frames are determined by matter. We propose and implement a precise formulation of Mach’s principle in which matter and geometry are in one-to-one correspondence. Einstein’s equations are not modiﬁed and no selection principle is applied to their solutions; Mach’s principle is realized wholly within Einstein’s general theory of relativity. The key insight is the observation that, in addition to bulk matter, one can also add boundary matter. Speciﬁcation of both boundary and bulk stress tensors uniquely speciﬁes the geometry and thereby the inertial frames. Our framework is similar to that of the black hole membrane paradigm and, in symptotically AdS space-times, is consistent with holographic duality.
Not one bit of de sitter information
(2008-04-02) Parikh, Maulik; Schaar, Jan Pieter van der
We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined with a general result on the average information in a quantum subsystem, this guarantees that an observer in de Sitter space cannot obtain even a single bit of information from the de Sitter horizon, thereby preventing any observable violations of the quantum no-cloning principle, in support of observer complementarity.