Letter: The Force of Gravity from a Lagrangian Containing Inverse Powers of the Ricci Scalar

We determine the gravitational response to a diffuse source, in a locally de Sitter background, of a class of theories which modify the Einstein-Hilbert action by adding a term proportional to an inverse power of the Ricci scalar. We find a linearly growing force which is not phenomenologically acceptable.     

Analytic solutions in nonlinear massive gravity

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free nonlinear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism, recovering general relativity below a Vainshtein radius given by (r(g)m(2))(1/3), where m is the graviton mass and r(g) is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to de Sitter-Schwarzschild spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.     

Covariant gauges and point sources in general relativity

The tree graph contributions to the vacuum expectation value of the quantized gravitational field produced by a point mass source are found to diverge. These divergences can be removed only by giving the source a finite extension, and it is first necessary to analyze the corresponding classical situation before making a comparison with the quantum theory. In this paper, the model for such an extended particle is taken to be a spherical shell of initially static pressure-free dust. Without solving the Einstein equations explicity, a coordinate-independent mass renormalization formula can be derived, valid at the moment of time symmetry, which relates the total mass of the system to the bare mass of the source and its invariant radius. The equations are then solved for various choices of coordinate systems, allowing the invariant radius of the shell to be expressed in terms of its coordinate dependent extension. The results are in agreement with those obtained previously by Arnowitt, Deser, and Misner. The work of these authors is generalized to include coordinate frames for which the metric is discontinuous across the shell. Aside from any intrinsic interest, such a generalization is necessary since the most convenient coordinate system for the quantum calculations, namely the covariant de Donder (harmonic) gauge, falls into this category. By expanding the total mass of the source in terms of its bare mass and harmonic coordinate extension, the classical Schwarzschild solution may be cast into a form which facilitates a direct comparison with the quantum theory in the de Donder gauge.     

Retrocausality and conditional probability

Costa de Beauregard has proposed that physical causality be identified with conditional probability. That proposal is shown to be vulnerable on two accounts. The first, though mathematically trivial, seems to be decisive so far as the current formulation of the proposal is concerned. The second lies in a physical inconsistency which seems to have its source in a Copenhagenlike disavowal of realism in quantum mechanics.     

On the sound field of a resilient disk in free space

Radiation characteristics are calculated for a circular planar sound source in free space with a uniform surface pressure distribution, which can be regarded as a freely suspended membrane with zero mass and stiffness. This idealized dipole source is shown to have closed form solutions for its far-field pressure response and radiation admittance. The latter is found to have a simple mathematical relationship with the radiation impedance of a rigid piston in an infinite baffle. Also, a single expansion is derived for the near-field pressure field, which degenerates to a closed form solution on the axis of symmetry. From the normal gradient of the surface pressure, the surface velocity is calculated. The near-field expression is then generalized to an arbitrary surface pressure distribution. It is shown how this can be used as a simplified solution for a rigid disk in free space or a more realistic sound source such as pre-tensioned membrane in free space with non-zero mass and a clamped rim.     

Determination of the size of a radiation source by the method of calculation of diffraction patterns

In traditional X-ray radiography, which has been used for various purposes since the discovery of X-ray radiation, the shadow image of an object under study is constructed based on the difference in the absorption of the X-ray radiation by different parts of the object. The main method that ensures a high spatial resolution is the method of point projection X-ray radiography, i.e., radiography from a point and bright radiation source. For projection radiography, the small size of the source is the most important characteristic of the source, which mainly determines the spatial resolution of the method. In this work, as a point source of soft X-ray radiation for radiography with a high spatial and temporal resolution, radiation from a hot spot of X-pinches is used. The size of the radiation source in different setups and configurations can be different. For four different high-current generators, we have calculated the sizes of sources of soft X-ray radiation from X-ray patterns of corresponding objects using Fresnel-Kirchhoff integrals. Our calculations show that the size of the source is in the range 0.7–2.8 μm. The method of the determination of the size of a radiation source from calculations of Fresnel-Kirchhoff integrals makes it possible to determine the size with an accuracy that exceeds the diffraction limit, which frequently restricts the resolution of standard methods.     

The electrical properties of evaporated films of cadmium sulphide

The electrical properties of vacuum evaporated layers of CdS on amorphous substrates have been investigated as a function of the various preparative parameters, i.e. evaporation rate, substrate temperature, thickness of the layers and purity of the source. The degree of preferential orientation of the crystallites which comprise the film has also been examined. It is shown that the resistivity of the films decreases with increasing thickness. This effect is associated with a corresponding increase in the density of free electrons, which it is suggested is associated with an increasing deviation from stoichiometry of the source as the evaporation proceeds. The variation of the Hall mobility with thickness can be explained in terms of surface scattering. A tentative model of the evaporation process is proposed which gives some insight into many of the experimental observations.     

Solution of Maxwell’s equations on a de Sitter background

The Maxwell equations for the electromagnetic potential, supplemented by the Lorenz gauge condition, are decoupled and solved exactly in de Sitter space–time studied in static spherical coordinates. There is no source besides the background. One component of the vector field is expressed, in its radial part, through the solution of a fourth-order ordinary differential equation obeying given initial conditions. The other components of the vector field are then found by acting with lower-order differential operators on the solution of the fourth-order equation (while the transverse part is decoupled and solved exactly from the beginning). The whole four-vector potential is eventually expressed through hypergeometric functions and spherical harmonics. Its radial part is plotted for given choices of initial conditions. We have thus completely succeeded in solving the homogeneous vector wave equation for Maxwell theory in the Lorenz gauge when a de Sitter space–time is considered, which is relevant both for inflationary cosmology and gravitational wave theory. The decoupling technique and analytic formulae and plots are completely original. This is an important step towards solving exactly the tensor wave equation in de Sitter space–time, which has important applications to the theory of gravitational waves about curved backgrounds.     

Controle de l'enrichissement de l'uranium metallique a l'aide du nitrate de cellulose

Abstract

Le nitrate de cellulose permet d'enregistrer le passage de particules α done de mesurer l'activité spécifique d'une source radioactive épaisse. Nous utilisons cette propriété pour mesurer le taux d'eorichissement en uranium 235 d'un éhantillon d'uranium métallique. Afin de faciliter la mesure et de s'affranchir de la lecture du nombre de traces au microscope optique, les échantillons sont révélés dans un bain spécial et le nombre de traces α par unité de surface est évalué en fonction du pouvoir réflecteur de l'échantillon.

Les moyens et le temps nécessaires pour une mesure sont, ainsi que le prix de revient, très réduits.

Cellulose nitrate can be used for the registration of α-tracks and therefore for the measurement of the specific activity of thick radioactive sources. This characteristic is applied to the determination of ²³⁵U enrichment rate of metallic uranium samples. For the measurement of track density a method is developed which replaces the counting procedure under a microscope. The samples are etched in special solutions and track density is evaluated from the diffuse reflecting power of the samples.

The main advantages of this method are its rapidity, easiness and low cost.     

Primordial pairing and binding of superheavy charged particles in the early universe

Primordial superheavy particles, considered as the source of Ultra High Energy Cosmic Rays (UHECR) and produced in local processes in the early Universe, should bear some strictly or approximately conserved charge to be sufficiently stable to survive to the present time. Charge conservation dictates that they be produced in pairs, and the estimated separation of particle and antiparticle in such a pair is shown to be in some cases much smaller than the average separation determined by the averaged number density of considered particles. If the new U(1) charge is the source of a long-range field similar to the electromagnetic field, the particle and antiparticle, possessing that charge, can form a primordial bound system with an annihilation timescale, which can satisfy the conditions assumed for this type of UHECR source. These conditions severely constrain the possible properties of the considered particles.     

An Exact Class of Bulk Field Potentials onto the 5D-Warp of de Sitter Spacetime

In the five-dimensionally warped FRW Universe, we integrate the corresponding Einstein equations for a scalar source depending only on the extra-dimension. It yields a de Sitter brane and a specific warp factor for which we derive the effective bulk field potentials. These are generalizing some of the previously proposed forms in the literature.     

具有离焦量的光学准直系统

本文针对激光束准直系统中的离焦量对准直倍率的影响进行详细的讨论，给出了准直系统的最佳设计公式，同时提出一种新的准直光源系统的设计构想。     

一种新型微束斑X射线源的研究

采用高效长寿命的LaB6单晶阴极电子枪作为电子束发射系统、轻便的等径双圆筒静电系统作为聚焦系统等技术研究了一种新型台式微束斑X射线源.通过在综合测试仪上的初步实验研究,表明该微束斑X射线源不仅可以连续辐射,而且可以脉冲辐射X射线,输出X射线束斑小、亮度高.此外,该台式X射线源具有体积小、重量轻,使用寿命长、造价低,可灵活移动等优点.     

基于附加环结构的分布式光纤传感系统研究

研究了一种使用2×2耦合器将附加环耦合到萨格奈克主环上的分布式光纤传感预警系统.采用单模光纤和脉冲光源,在时域上提取光不同次经过附加环的干涉光束多重响应.理论推导和仿真试验证明,比较多重响应的幅度能够探测发生在主环里因外界破坏事件引起的振动所在位置.提出了准确定位的数学模型,其定位方法与外界作用的频率特性无关.     

Experimental determining the alternative coherent-mode representation of a planar source

The coherent-mode representation (CMR) of an optical random source is a very powerful tool in contemporary optics. However, the practical value of the CMR is essentially restricted because of the complexity of solving the Fredholm integral equation with the source cross-spectral density as a kernel. Moreover, in practice, the analytical expression for the cross-spectral density of the source, as a rule, is unknown, a fact that makes this solution impossible in general. Here we propose a technique for the determination of the source CMR that does not involve solving the Fredholm integral equation but is based on usual radiometric measurements. We illustrate the proposed technique with the results of mathematical simulation.     

High energy evolution of soft gluon cascades

In this paper we derive an evolution equation for the gluon density in soft gluon cascades emitted from any colored source, in the leading logarithmic approximation of perturbative QCD. We show that this equation has the same form as the BFKL equation in the forward case. An explicit expression for the total cascade wavefunction involving an arbitrary number of soft gluons is obtained. Renormalization of the colored source wavefunction turns out to be responsible for the reggeization of the source. Laboratoire de Physique Théorique: Unité mixte 8627 du CNRS.     

Application of a multiscale maximum entropy image restoration algorithm to HXMT observations

This paper introduces a multiscale maximum entropy(MSME) algorithm for image restoration of the Hard X-ray Modulation Telescope(HXMT),which is a collimated scan X-ray satellite mainly devoted to a sensitive all-sky survey and pointed observations in the 1-250 keV range.The novelty of the MSME method is to use wavelet decomposition and multiresolution support to control noise amplification at different scales.Our work is focused on the application and modification of this method to restore diffuse sources detected by HXMT scanning observations.An improved method,the ensemble multiscale maximum entropy(EMSME) algorithm,is proposed to alleviate the problem of mode mixing exiting in MSME.Simulations have been performed on the detection of the diffuse source Cen A by HXMT in all-sky survey mode.The results show that the MSME method is adapted to the deconvolution task of HXMT for diffuse source detection and the improved method could suppress noise and improve the correlation and signal-to-noise ratio,thus proving itself a better algorithm for image restoration.Through one all-sky survey,HXMT could reach a capacity of detecting a diffuse source with maximum differential flux of 0.5 mCrab.     

Entanglement in 2DEG systems: towards a detection loophole-free test of Bell's inequality

We make use of the intrinsic noiseless and lossless aspect of an electron source in a 2DEG system to implement a new test of Bell's inequality. The generated entanglement can be tested by two-particle interferometry. Preparation and detection schemes of two complete sets of Bell states are given. A novel type of Bell's inequality is then derived in terms of noise correlation measurements. The characteristics of the electron source are essential to exhibit a violation. This electron system could close the detection efficiency loophole.     

Brane-induced-gravity shock waves

We construct exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. They are a generalization of gravitational shock waves in 4D de Sitter space. We provide the metrics for both the normal branch and the self-inflating branch Dvali-Gabadadze-Porrati brane worlds, and compare them to the 4D Einstein gravity solution and to the case when gravity resides only in the 5D bulk, without any brane-localized curvature terms. At short distances the wave profile looks the same as in four dimensions. The corrections appear only far from the source, where they differ from the long distance corrections in 4D de Sitter space. We also discover a new nonperturbative channel for energy emission into the bulk from the self-inflating [corrected] branch, when gravity is modified at the de Sitter radius.     

Birkhoff’s theorem in <Emphasis Type="Italic">f</Emphasis>(<Emphasis Type="Italic">T</Emphasis>) gravity

Generalized from the so-called teleparallel gravity, which is exactly equivalent to general relativity, f(T) gravity has been proposed as an alternative gravity model to account for the dark energy phenomena. In this letter we prove that the external vacuum gravitational field for a spherically symmetric distribution of source matter in the f(T) gravity framework must be static. The conclusion is independent of the radial distribution and spherically symmetric motion of the source matter, that is, whether it is in motion or static. As a consequence, the Birkhoff’s theorem is valid in the general nonsingular f(T) theory at the un-perturbative level. We also discuss its application in the de Sitter spacetime evolution phase as preferred by present dark energy observations.