For a large class of quantum states, all local (pointwise) energy conditions widely used in relativity are violated by the renormalized stress-energy tensor of a quantum field. In contrast, certain nonlocal positivity constraints on the quantum stress-energy tensor might hold quite generally, and this possibility has received considerable attention in… (More)
Locally, the stress-energy of quantized matter can become arbitrarily negative in a wide class of quantum states, thereby violating the classical positive-energy conditions of General Relativity without bound. Since without such constraints the theory would have no predictive power, uncovering what nonlocal constraints, if any, quantum field theory imposes… (More)
We address the problem of identifying underground anomalies (e.g holes) based on gravity measurements.Our approach makes general assumptions about the shape of the hole, e.g that it can described by few wavelet coefficients. Such assumptions are known under the name of sparsity assumptions. Based on the recently developed compressed sensing (CS) methodology… (More)
The mathematical formalism for linear quantum field theory on curved spacetime depends in an essential way on the assumption of global hy-perbolicity. Physically, what lie at the foundation of any formalism for quantization in curved spacetime are the canonical commutation relations, imposed on the field operators evaluated at a global Cauchy surface. In… (More)
A long sequence of tosses of a classical coin produces an apparently random bit string, but classical randomness is an illusion: the algorithmic information content of a classically-generated bit string lies almost entirely in the description of initial conditions. This letter presents a simple argument that, by contrast, a sequence of bits produced by… (More)
We discuss some mathematical aspects of the problem of inverting gravitational field data to extract the underlying mass distribution. While the forward problem of computing the gravity field from a given mass distribution is mathematically straightforward, the inverse of this forward map has some interesting features that make inversion a difficult… (More)
We devise a new technique to enhance transmission of quantum information through linear optical quantum information processors. The idea is based on applying the Quantum Zeno effect to the process of photon absorption. By frequently monitoring the presence of the photon through a quantum non-demolition (QND) measurement the absorption is suppressed. Quantum… (More)
We describe an elementary proof that a manifold with the topology of the Politzer time machine does not admit a nonsingular, asymptotically flat Lorentz metric.
4 Background: A recent study argued, based on data on functional genome size of major phyla, that there is evidence life may have originated significantly prior to the formation of the Earth.
A recent study argued, based on data on functional genome size of major phyla, that there is evidence life may have originated significantly prior to the formation of the Earth. Here a more refined regression analysis is performed in which 1) measurement error is systematically taken into account, and 2) interval estimates (e.g., confidence or prediction… (More)