Proposed experiment to test the bounds of quantum correlations

The combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt inequality can give values between the classical bound, 2, and Tsirelson's bound, 2 x square root of 2. However, for a given set of local observables, there are values in this range which no quantum state can attain. We provide the analytical expression for the corresponding bound for a parametrization of the local observables introduced by Filipp and Svozil, and describe how to experimentally trace it using a source of singlet states. Such an experiment will be useful to identify the origin of the experimental errors in Bell's inequality-type experiments and could be modified to detect hypothetical correlations beyond those predicted by quantum mechanics.     

Anechoic chamber qualification: traverse method,inverse square law analysis method,and nature of test signal

Qualification of anechoic chambers is intended to demonstrate that the chamber supports the intended free-field environment within some permissible tolerance bounds. Key qualification issues include the method used to obtain traverse data, the analysis method for the data, and the use of pure tone or broadband noise as the chamber excitation signal. This paper evaluates the relative merits of continuous versus discrete traverses, of fixed versus optimal reference analysis of the traverse data, and of the use of pure tone versus broadband signals. The current practice of using widely space discrete sampling along a traverse is shown to inadequately sample the complexity of the sound field extant with pure tone traverses, but is suitable for broadband traverses. Continuous traverses, with spatial resolution on the order of 15% of the wavelength at the frequency of interest, are shown to be necessary to fully resolve the spatial complexity of pure tone qualifications. The use of an optimal reference method for computing the deviations from inverse square law is shown to significantly improve the apparent performance of the chamber for pure tone qualifications. Finally, the use of broadband noise as the test signal, as compared to pure tone traverses over the same span, is demonstrated to be a marginal indicator of chamber performance.     

A new test of the equivalence principle: a null phase-delay experiment

The Einstein Equivalence Principle (EEP) provides the fundamental basis for any metric theory of gravity, such as general relativity. It implies that the only observable effects of gravitation are those mediated by the spacetime metric. Therefore, at the origin of a local freely falling frame there should be no observable effects of gravity. Null redshift tests provide an interesting way to test this prediction. In this test, the frequencies of two oscillators of a different type are compared at the same location in a gravitational field as the field is varied. Any variation in the frequency would signal a violation of the EEP. Here we shall propose a new test of the EEP called a null phase-delay experiment, in which the phase-delay of a signal propagated over a coil of optical fiber is monitored as the gravitational field at the coil is varied. An interesting test of the EEP in the solar gravitational field can be performed in the laboratory under carefully controlled conditions. With presently available technology, such an experiment could provide a 0.01% test.This essay received the third award from the Gravity Research Foundation, 1993-Ed.     

Renormalization of the inverse square potential

The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element.     

About a physical nature of inertia and its relation to gravitation. II

A physical nature of inertia and its relation to gravitation are discussed. It is proved that the inertia forces have the induction nature and are induced by a special field generated by all moving bodies of the Universe. The relativistic theory of inertia is suggested. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 19–24, October, 2006.     

A covariant frame to test Special Relativity including relativistic gravitation

We generalize Robertson's frame designed to discuss the experimental tests of Special Relativity. We include parametrized post-Newtonian theories of gravitation in the new frame. This generalization includes covariant equations for the motion of a test particle. We discuss the possibility of new tests such as tests of Special Relativity in astronomy.On leave from: école Polytechnique, F-91128 Palaiseau Cedex, France     

Current short-range tests of the gravitational inverse square law

Motivated in large part by the possibility of observing signatures of compact extra dimensions, experimental searches for deviations from Newtonian gravity at short distances have improved in sensitivity by many orders of magnitude in the past five years. We review the essential features of the experiments responsible for the current limits on new effects in the range from a few microns to a few centimeters, and discuss prospects for the near future. To cite this article: J.C. Long, J.C. Price, C. R. Physique 4 (2003).     

Double-Alekseev inverse scattering method in the stationary axi-symmetric vacuum gravitation field equations

We present a new improvement to the Alekseev inverse scattering method. This improved inverse scattering method is extended to a double form, followed by the generation of some new solutions of the double-complex Kinnersley equations. As the double-complex function method contains the Kramer-Neugebauer substitution and analytic continuation, a pair of real gravitation soliton solutions of the Einstein’s field equations can be obtained from a double N-soliton solution. In the case of the flat Minkowski space background solution, the general formulas of the new solutions are presented.      

About a physical nature of inertia and its relation to gravitation. Part I

A physical nature of inertia is discussed, and a hypothesis about its induction nature is put forward. According to this hypothesis, any body in motion, in addition to gravitational field, generates one more field called inertial. A change of this field induces inertial forces. It is proved that inertial and gravitational fields are interrelated, induce each other, and form a unified field similar to the electromagnetic field. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 37–42, July, 2006.     

Test of the gravitational inverse square law at millimeter ranges

We report a new test of the gravitational inverse square law at millimeter ranges by using a dual-modulation torsion pendulum. An I-shaped symmetric pendulum and I-shaped symmetric attractors were adopted to realize a null experimental design. The non-Newtonian force between two macroscopic tungsten plates is measured at separations ranging down to 0.4 mm, and the validity of the null experimental design was checked by non-null Newtonian gravity measurements. We find no deviations from the Newtonian inverse square law with 95% confidence level, and this work establishes the most stringent constraints on non-Newtonian interaction in the ranges from 0.7 to 5.0 mm, and a factor of 8 improvement is achieved at the length scale of several millimeters.     

Unit radius and the resolution of inverse square law forces

An equation for the solution of inverse square law forces that arise in rectilinear systems from gravitational, electrical, and magnetic fields, produced by complex multibody or multielement sources, is derived from a concept known asunit radius, which is associated with orbital systems, and the use of this equation in computer evaluation of simple models such as disks and spheres shows results that are in good agreement with those predicted by classical methods using a somewhat indirect approach. Additionally, these results show that, within the profile of the model so analyzed, the effective distance between the reference point and the resultant source is equal in all cases to the radius of the model, and that—again within the profile of the model—the magnitude of the resultant source varies directly with the distance of the reference point from the center of the model. Theproximity effect of sources of appreciable dimensions is examined in some detail and there is good evidence to show that as a result of this effect the resultant force when measured at the perimeter of a two-dimensional disk-shaped source is some 23% lower than the value anticipated by classical theory.     

Anomalous nature of W3 gravitation models associated with exclusive Jordan algebras

It is shown that Sugawara's construction of Zamolodchikov's algebra, associated with exclusive Jordan algebras, leads to an anomalous theory of W₃ gravitation.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 55–58, August, 1995.     

Proposed beatwave experiment at RAL with the Vulcan CPA laser

A chirped pulse amplification (CPA) laser configuration capable of driving a plasma beat wave into saturation before modulation instabilities can grow is reported. The proposal is based on generating a single sub-ps, broad bandwidth pulse (~16 nm) and stretching and filtering to select two wavelength components (separation ~7 nm). The two spectral components are temporally stretched (to >100 ps) and separated (by ~1 ns). The pulses are then amplified sequentially in a single Nd:glass chain to greater than 15 J per pulse. Using a single-pass reflective grating compressor, the pulses are compressed (from 2 to 5 ps) and automatically synchronized. The system is capable of introducing a chirp, such that the compressed pulses can compensate for relativistic detuning of the plasma wave. The optimum laser amplification and recombination configuration for generating a saturated laser-driven beatwave is presented, and options for future work are discussed     

模拟卢瑟福实验室的实验以检验理论模拟

在亚稳态电子碰撞激发系列程序的基础上研制成功了瞬态电子碰撞激发的系列程序，并用此系列程序模拟了卢瑟福实验室2000年的类氖锗瞬态电子碰撞激发19.6nm X射线激光实验，与实验数据的比较表明，模拟结果与实验基本符合，为以后研究瞬态电子碰撞激发机理打下了基础. 关键词： X射线激光 瞬态电子碰撞激发 类氖锗 亚稳态     

Proposed interferometry test of noncyclic geometric phase

An interferometric test of the geometric phase in noncyclic spin-1/2 precession is proposed. It is shown that the resulting interference shift depends only on the noncyclic geometric phase for any opening angle on the Bloch sphere as well as for any degree of polarisation.