An asymptotically flat ℋ space

The null geodesic equation is solved for the space of Sparling and Tod. Bondi coordinates are found and it is verified that the space construction is idempotent, i.e., the -space of this space is itself, symbolically ² = . Properties of the solution are used to motivate a definition of asymptotic flatness.S.R.C. Postdoctoral Research Fellow.     

Nonequilibrium fluctuations in μ space

The properties of fluctuations in space in or outside thermal equilibrium are obtained by solving hierarchies of equations derived either from the Liouville or the Master equation. In particular we study the one-, two-, etc., time correlation functions that describe the spatial and temporal behavior of the fluctuations in space. Explicit solutions are obtained for a dilute gas. The Langevin approach is briefly discussed. Our results are compared with those obtained in the extensive literature, which is reviewed in some detail.     

Beam space weighted subspace fitting algorithm

1IntroductionMostoftheunderwateracousticsystemsusebeamoutputstoestimatethetargetdirections.Whenthereareseveraltargetsandtheangularseparationbetweentwoarbitrarytargetsislessthanthebeamwidth,traditionaldirectionestimationmethodsfailtoestimatethetargetdirectionscorrectly.Inthiscase,highresolutionalgorithmsareadoptedtoimprovethebearingestimationaccuracy.Unfortunately,thesensorspacehighresolutionalgorithmsusetheoutputsofarraysensorstoestimatetargetdirectionswhichareusuallynotavailableinpracticalsys…     

Generalised space–time and duality

In this Letter we consider the previously proposed generalised space–time and investigate the structure of the field theory upon which it is based. In particular, we derive a SO(D,D)$\mathit{SO}(D,D)$ formulation of the bosonic string as a non-linear realisation at lowest levels of E₁₁s_⊗l₁$E_{11}{\otimes }_s{l}_1$ where l₁$l_1$ is the first fundamental representation. We give a Hamiltonian formulation of this theory and carry out its quantisation. We argue that the choice of representation of the quantum theory breaks the manifest SO(D,D)$\mathit{SO}(D,D)$ symmetry but that the symmetry is manifest in a non-commutative field theory. We discuss the implications for the conjectured E₁₁$E_{11}$ symmetry and the role of the l₁$l_1$ representation.     

DARWIN – The infrared space interferometer

The major technical elements of the DARWIN mission are described. These are based on the analysis and design work carried out by Alcatel Space during the course of an industrial contract issued by the European Space Agency, for the preliminary feasibility study of the mission. It is found that the initially chosen scientific and system requirements of the DARWIN mission, including that corresponding to the highly challenging task of detecting and spectrally analysing `Earth-like' exo-planets orbiting nearby stars, can be satisfied. It has also been shown that a complementary `imaging capability' could be implemented, using the same beam-combining optics as for the nulling mode of the interferometer.     

Classical space–times from the S-matrix

We show that classical space–times can be derived directly from the S-matrix for a theory of massive particles coupled to a massless spin two particle. As an explicit example we derive the Schwarzchild space–time as a series in _GN$G_N$. At no point of the derivation is any use made of the Einstein–Hilbert action or the Einstein equations. The intermediate steps involve only on-shell S-matrix elements which are generated via BCFW recursion relations and unitarity sewing techniques. The notion of a space–time metric is only introduced at the end of the calculation where it is extracted by matching the potential determined by the S-matrix to the geodesic motion of a test particle. Other static space–times such as Kerr follow in a similar manner. Furthermore, given that the procedure is action independent and depends only upon the choice of the representation of the little group, solutions to Yang–Mills (YM) theory can be generated in the same fashion. Moreover, the squaring relation between the YM and gravity three point functions shows that the seeds that generate solutions in the two theories are algebraically related. From a technical standpoint our methodology can also be utilized to calculate quantities relevant for the binary inspiral problem more efficiently then the more traditional Feynman diagram approach.     

Singularities at real points of ℋ space

In the presence of gravitational radiation, there are ordinarily no shear-free slices of null infinity. A four-complex-dimensional set of shear-free slices of complexified null infinity do exist. They comprise the manifold space. In general, there are no preferred real subspaces of space associated with slices of real null infinity. However, for radiation fields possessing a twist-free axial symmetry, a two-parameter family of shear-free slices of real null infinity exist and therefore pick out a preferred two-dimensional real subspace of space. In this paper, we study the geometry of these 2-spaces for the particular case of quadrupole radiation fields for which determination of the shear-free slices reduces to the standard problem of determining orbits of a particle moving in a potential. Our principal interest is the investigation of possible singularities caused by sufficiently intense radiation fields. We find that such singularities do occur for radiation fields having the characteristic powerc ⁵/G.     

Whiteness formula in CIELAB uniform color space

Many attempts have been made to standardize the calculation of whiteness.Whiteness formulas currently in use satisfactorily characterize the appearance of commercial whiteness.However,they have poor cor- relations with the observers' evaluations,and are often unsuccessful in assessing tinted white samples. A whiteness formula in the CIELAB uniform color space is developed in this paper.Several whiteness formulas are analyzed and compared.The experimental results show that the whiteness formula in the CIELAB uniform color space agrees well with the visual ranking,and it is superior to the CIE whiteness formula and the others in visual correlativity,uniformity and applicability.     

Confronting Finsler space–time with experiment

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling to additional tensor fields, here a Finslerian approach is employed where violations of Lorentz invariance are incorporated as an integral part of the space–time metrics. Within such a Finslerian framework a modified dispersion relation is derived which is confronted with current high precision experiments. As a result, Finsler type deviations from the Minkowskian metric are excluded with an accuracy of 10⁻¹⁶.     

Geometrical locus of massive test particle orbits in the space of physical parameters in Kerr space–time

Gravitational radiation of binary systems can be studied by using the adiabatic approximation in General Relativity. In this approach a small astrophysical object follows a trajectory consisting of a chained series of bounded geodesics (orbits) in the outer region of a Kerr Black Hole, representing the space time created by a bigger object. In our paper, we study the entire class of orbits, both of constant radius (spherical orbits), as well as non-null eccentricity orbits, showing a number of properties on the physical parameters and trajectories. The main result is the determination of the geometrical locus of all the orbits in the space of physical parameters in Kerr space–time. This becomes a powerful tool to know if different orbits can be connected by a continuous change of their physical parameters. A discussion on the influence of different values of the angular momentum of the hole is given. Main results have been obtained by analytical methods.     

The space environment monitor aboard FY-2 satellite

The space environment monitor (SEM) aboard FY-2 satellite consists of the high energy particle detector (HEPD) and the solar X-ray flux detector (SXFD). The SEM can provide real-time monitoring of flare and solar proton event for its operation at geostationary orbit and is also the first Chinese space system for monitoring and alerting solar proton event. During the 23rd solar maximum cycle, almost all the solar proton events that took place in this period are monitored and some of them are predicted successfully by analyzing the characteristics of X-ray flare monitored by the SEM. Some basic variation characteristics of particle at geostationary orbit are found such as day-night periodic variation of particle flux, the electron flux with energy >1.4 MeV in the scope from 10 to 200/cm2 s sr and the proton flux with energy >1.1 MeV in the scope from 600 to 8000/cm·s·sr during the time with no magnetic storm and solar eruption.     

Birkhoff's theorem with Λ-term and Bertotti-Kasner space

If a Λ-term is included, the usual generalization of Schwarzschild space is not the only possible spherically symmetric vacuum solution. Another is Bertotti-Kasner space, as has been noted before but not explicitly demonstrated. The purpose of this note is to reformulate the unicity theorem and to discuss the extra solution.     

A modular spectral triple for κ-Minkowski space

We present a spectral triple for $\kappa$-Minkowski space in two dimensions. Starting from an algebra naturally associated to this space, a Hilbert space is built using a weight which is invariant under the $\kappa$-Poincaré algebra. The weight satisfies a KMS condition and its associated modular operator plays an important role in the construction. This forces us to introduce two ingredients which have a modular flavour: the first is a twisted commutator, used to obtain a boundedness condition for the Dirac operator, and the second is a weight replacing the usual operator trace, used to measure the growth of the resolvent of the Dirac operator. We show that, under some assumptions related to the symmetries and the classical limit, there is a unique Dirac operator and automorphism such that the twisted commutator is bounded. Then, using the weight mentioned above, we compute the spectral dimension associated to the spectral triple and find that is equal to the classical dimension. Finally we briefly discuss the introduction of a real structure.     

Very special relativity in curved space–times

The generalization of Cohen and Glashow's very special relativity to curved space–times is considered. Gauging the SIM(2)$\mathit{SIM}(2)$ symmetry does not, in general, provide the coupling to the gravitational background. However, locally SIM(2)$\mathit{SIM}(2)$ invariant Lagrangians can always be constructed. For space–times with SIM(2)$\mathit{SIM}(2)$ holonomy, they describe chiral fermions propagating freely as massive particles.     

Are there phase transitions in information space?

The interplay between two basic quantities--quantum communication and information--is investigated. Quantum communication is an important resource for quantum states shared by two parties and is directly related to entanglement. Recently, the amount of local information that can be drawn from a state has been shown to be closely related to the nonlocal properties of the state. Here we consider both formation and extraction processes, and analyze informational resources as a function of quantum communication. The resulting diagrams in information space allow us to observe phaselike transitions when correlations become classical.     

Time-dependent Aharonov–Casher effect on noncommutative space

In this paper,we study the time-dependent Aharonov-Casher effect and its corrections due to spatial noncommutativity.Given that the charge of the infinite line in the Aharonov-Casher effect can adiabatically vary with time,we show that the original Aharonov-Casher phase receives an adiabatic correction,which is characterized by the time-dependent charge density.Based on Seiberg-Witten map,we show that noncommutative corrections to the time-dependent Aharonov-Casher phase contains not only an adi...