Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons G.W. Gibbons ♯, Sean A. Hartnoll ♯ and C.N. Pope ‡♭ ♯DAMTP, Centre for Mathematical Sciences, Cambridge University Wilberforce Road, Cambridge CB3 OWA, UK ‡Center for Theoretical Physics, Texas A&M University, College Station, TX 77843, USA ♭Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Universit...

Aharonov and Reznik have recently argued that the form of the probabilistic predictions of quantum theory can be seen to follow from properties of macroscopic systems. An error in their argument is identified .

We show that Quantum Energy-Transport and Quantum Drift-Diffusion models can be derived through diffusion limits of a collisional Wigner equation. The collision operator relaxes to an equilibrium defined through the entropy minimization principle. Both models are shown to be entropic and exhibit fluxes which are related with the state variables through spatially non-local relations. Thanks to a...

An important limitation is shown in the analogy between the Aharonov-Bohm effect and the parallel transport on a cone. It illustrates a basic difference between gravity and gauge fields due to the existence of the solder form for the space-time geometry. This difference is further shown by the observability of the gravitational phase for open paths. This reinforces a previous suggestion that th...

In the dynamical gauge-Higgs unification of electroweak interactions in the Randall-Sundrum warped spacetime the Higgs boson mass is predicted in the range 120 GeV – 290 GeV, provided that the spacetime structure is determined at the Planck scale. Couplings of quarks and leptons to gauge bosons and their KaluzaKlein (KK) excited states are determined by the masses of quarks and leptons. All qua...

We study the long-time behavior of solutions of Burgers' equation with nonlocal nonlinearities u t = u xx + "uu x + 1 2 ? aku(; t)k p?1 + b u, 0 < x < 1, a; " 2 , b > 0, p > 1, subject to u(0; t) = u(1; t) = 0. A stability{instability analysis is given in some detail, and some nite-time blow-up results are given.

No. When particle detectors are included particles do not follow the Bohm trajectories as we would expect from a classical type model.

It is observed that strings in AdS5 × S and membranes in AdS7 × S exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2π/N . The same phases are acquired by a well separated F and D string dragged around one another. The phases are shown to correspond to both the standard and a novel type of Aharonov-Bohm effect in the dual fie...

We show that under particular circumstances a general relativistic spherically symmetric bounded distribution of matter could satisfy a nonlocal equation of state. This equation relates, at a given point, the components of the corresponding energy momentum tensor not only as function at that point, but as a functional throughout the enclosed configuration. We have found that these types of dyna...