Universal approach to gravitational thermal effects

A universal scheme for describing gravitational thermal effects is developed as a generalization of Unruh effect. Quasi-Rindler (QR) coordinates are constructed in an arbitrary curved space-time in such a way that the imaginary QR time be periodical. The observer at rest in QR coordinates should experience a thermal effect. Application to de Sitter space-time is considered.Comment: 8 pages, LATE

Gravity-Induced Interference and Continuous Quantum Measurements

Gravity-induced quantum interference is a remarkable effect that has already been confirmed experimentally, and it is a phenomenon in which quantum mechanics and gravity play simultaneously an important role. Additionally, a generalized version of this interference experiment could offer the possibility to confront against measurement outputs one of the formalisms that claim to give an explanation to the so called quantum measurement problem, namely the restricted path integral formalism. In this work we will analyze a possible extension of Colella, Overhauser, and Werner experiment and find that in the context of the restricted path integral formalism we obtain new interference terms that could be measured in an extended version of this experimental construction. These new terms not only show, as in the first experiment, that at the quantum level gravity is not a purely geometric effect, it still depends on mass, but also show that interference does depend on some parameters that appear in the restricted path integral formalism, thus offering the possibility to have a testing framework for its theoretical predictions.Comment: Accepted for publication in Physics Letters A, 12 pages, no figure

Energy conservation and equivalence principle in General Relativity

The generalized Stokes theorem (connecting integrals of dimensions 3 and 4) is formulated in a curved space-time in terms of paths in Minkowski space (forming Path Group). A covariant integral form of the conservation law for the energy-momentum of matter is then derived in General Relativity. It extends Einstein's equivalence principle on the energy conservation, since it formulates the conservation law for the energy-momentum of matter without explicit including the gravitational field in the formulation.Comment: 9 pages, Latex, one figur

Continuous quantum measurements of a particle in a Paul trap

We calculate the propagator of a particle caught in a Paul trap and subject to the continuous quantum measurement of its position. The probabilities of the measurement outputs, the possible trajectories of the particle, are also found. This enables us to propose a series of experiments that would allow to confront the predictions of one of the models that describe the interaction between a measured quantum system and measuring device, namely the so called Restricted Path-Integral Formalism, with the experiment.Comment: Latex file, 10 page

Measurement-induced interference in an inhomogeneous gravitational field

A very interesting quantum mechanical effect is the emergence of gravity-induced interference, which has already been detected. This effect also shows us that gravity is at the quantum level not a purely geometric effect, the mass of the employed particles appears explicitly in the interference expression. In this work we will generalize some previous results. It will be shown that the introduction of a second order approximation in the propagator of a particle, immersed in the Earth's gravitational field, and whose coordinates are being continuously monitored, allows us to include, in the corresponding complex oscillator, a frequency which now depends on the geometry of the source of the gravitational field, a fact that is absent in the case of a homogeneous field. Using this propagator we will analyze the interference pattern of two particle beams whose coordinates are being continuously monitored. We will compare our results againt the case of a homogeneous field, and also against the measurement ouputs of the Colella, Overhauser, and Werner experiment, and find that the difference in the dependence upon the geometry of the source of the gravitational field could render detectable differences in their respective measurement outputs.Comment: 15 pages, accepted in Physics Letters

EPR effect in gravitational field: nature of non-locality

The realization of the Einstein-Podolsky-Rosen effect by the correlation of spin projections of two particles created in the decay of a single scalar particle is considered for particles propagating in gravitational field. The absence of a global definition of spatial directions makes it unclear whether the correlation may exist in this case and, if yes, what directions in distant regions must be correlated. It is shown that in a gravitational field an approximate correlation may exist and the correlated directions are connected with each other by the parallel transport along the world lines of the particles. The reason for this is that the actual origin of the quantum non-locality is founded in local processes.Comment: 12 pages, LATE

Quantum features of consciousness, computers and brain

Many people believe that mysterious phenomenon of consciousness may be connected with quantum features of our world. The present author proposed so-called Extended Everett's Concept (EEC) that allowed to explain consciousness and super-consciousness (intuitive knowledge). Brain, according to EEC, is an interface between consciousness and super-consciousness on the one part and body on the other part. Relations between all these components of the human cognitive system are analyzed in the framework of EEC. It is concluded that technical devices improving usage of super-consciousness (intuition) may exist.Comment: LATEX, 6 pages; the paper is reported at The 9th WSEAS International Conference on Applied Computer Science (ACS'09), Genova, Italy, October 17-19, 200