Hyperspace Continuum: The five-dimensional continuum approach to a unified field theory

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Time-dependent astrophysical codes need to be accurate in space and time with the result that the spatial and temporal accuracies must be matched. The emphasis of this review is on computer-implementable ideas, not necessarily on the underlying theory. The open-access journal Living Reviews in Relativity has published three new review articles in November Paschalidis, V.

Frolov, V. Liebling, S. The open-access journals Living Reviews in Relativity and Computational Astrophysics and Cosmology have published new articles in May Brian D. Living Reviews are open-access review journals that allow authors to regularly update their articles to include latest developments. Its companion research journals primarily publish original work. The open-access journal Living Reviews in Relativity has published a new review article on 4 April Joseph D. Romano and Neil. Cornish, Detection methods for stochastic gravitational-wave backgrounds: a unified treatment, Living Rev Relativ The open-access journal Living Reviews in Relativity has recently published two new major updates of review articles:.

Due to a technical error, the latter was published with a wrong article citation ID, which will be corrected as soon as possible. We would also like to apologize to the authors for the tremendous delays caused by workflow adjustments after the journal transfer to Springer.

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Bishop and Luciano Rezzolla on 4 October metadata correction 10 November :. Bishop, N. ABSTRACT: A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at null infinity and in an appropriate coordinate system, the accurate estimation of the emitted gravitational waves represents an old and non-trivial problem in numerical relativity.

We review and discuss each method, in terms of both its theoretical background as well as its implementation. Finally, we provide a brief comparison of the various methods in terms of their inherent advantages and disadvantages. Abbott et al. ABSTRACT: We present a possible observing scenario for the Advanced LIGO and Advanced Virgo gravitational-wave detectors over the next decade, with the intention of providing information to the astronomy community to facilitate planning for multi-messenger astronomy with gravitational waves.

We determine the expected sensitivity of the network to transient gravitational-wave signals, and study the capability of the network to determine the sky location of the source. We report our findings for gravitational-wave transients, with particular focus on gravitational-wave signals from the inspiral of binary neutron-star systems, which are considered the most promising for multi-messenger astronomy.

Should the third LIGO detector be relocated to India as expected, a significant fraction of gravitational-wave signals will be localized to a few square degrees by gravitational-wave observations alone. Special emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods. Results of a set of demanding test bench simulations obtained with different numerical methods are compared in an attempt to assess the present capabilities and limits of the various numerical strategies.

Applications to three astrophysical phenomena are briefly discussed to motivate the need for and to demonstrate the success of RHD and RMHD simulations in their understanding. For example, atmospheric pressure fluctuations generate a gravity-noise foreground in measurements with super-conducting gravimeters. Gravity changes caused by high-magnitude earthquakes have been detected with the satellite gravity experiment GRACE, and we expect high-frequency terrestrial gravity fluctuations produced by ambient seismic fields to limit the sensitivity of ground-based gravitational-wave GW detectors.

Accordingly, terrestrial gravity fluctuations are considered noise and signal depending on the experiment. Here, we will focus on ground-based gravimetry. This field is rapidly progressing through the development of GW detectors. Alternative designs for GW detectors evolving from traditional gravity gradiometers such as torsion bars, atom interferometers, and superconducting gradiometers are currently being developed to extend the detection band to frequencies below 1 Hz.

The goal of this article is to provide the analytical framework to describe terrestrial gravity perturbations in these experiments. Models of terrestrial gravity perturbations related to seismic fields, atmospheric disturbances, and vibrating, rotating or moving objects, are derived and analyzed. The models are then used to evaluate passive and active gravity noise mitigation strategies in GW detectors, or alternatively, to describe their potential use in geophysics. The article reviews the current state of the field, and also presents new analyses especially with respect to the impact of seismic scattering on gravity perturbations, active gravity noise cancellation, and time-domain models of gravity perturbations from atmospheric and seismic point sources.

Our understanding of terrestrial gravity fluctuations will have great impact on the future development of GW detectors and high-precision gravimetry in general, and many open questions need to be answered still as emphasized in this article. Living Reviews in Computational Astrophysics is a new peer-reviewed open-access journal. Founded and supported by the Max Planck Institute for Astrophysics in Garching, the new member of the pioneering Living Reviews family is published by Springer International.

The journal aims at offering a comprehensive survey of research in computational astrophysics that physicists will know is up-to-date and reliable.

maisonducalvet.com/ligar-en-gratis-en-igueea.php Living Reviews is unique in that it only publishes high-quality review articles whose authors commit to update them regularly. The first main part of this review is dedicated to SPH as a numerical method. We begin by discussing relevant kernel approximation techniques and discuss the performance of different kernel functions. Subsequently, we review a number of different SPH formulations of Newtonian, special- and general relativistic ideal fluid dynamics.

We particularly point out recent developments that increase the accuracy of SPH with respect to commonly used techniques.

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The second main part of the review is dedicated to the application of SPH in compact object simulations. We discuss encounters between two white dwarfs, between two neutron stars and between a neutron star and a stellar-mass black hole.

For each type of system, the main focus is on the more common, gravitational wave-driven binary mergers, but we also discuss dynamical collisions as they occur in dense stellar systems such as cores of globular clusters. As theoretical framework, the scale decomposition of the dynamical equations for neutral fluids by means of spatial filtering is explained. For cosmological applications, the filtered equations in comoving coordinates are also presented. To obtain a closed set of equations that can be evolved in LES, several subgrid-scale models for the interactions between numerically resolved and unresolved scales are discussed, in particular the subgrid-scale turbulence energy equation model.

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It is then shown how model coefficients can be calculated, either by dynamic procedures or, a priori, from high-resolution data. For astrophysical applications, adaptive mesh refinement is often indispensable. It is shown that the subgrid-scale turbulence energy model allows for a particularly elegant and physically well-motivated way of preserving momentum and energy conservation in adaptive mesh refinement AMR simulations.

Moreover, the notion of shear-improved models for inhomogeneous and non-stationary turbulence is introduced. Finally, applications of LES to turbulent combustion in thermonuclear supernovae, star formation and feedback in galaxies, and cosmological structure formation are reviewed. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology. ABSTRACT: I review the current state of determinations of the Hubble constant, which gives the lengthscale of the Universe by relating the expansion velocity of objects to their distance.

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There are two broad categories of measurements. The first uses individual astrophysical objects which have some property that allows their intrinsic luminosity or size to be determined, or allows the determination of their distance by geometric means. The second category comprises the use of all-sky cosmic microwave background, or correlations between large samples of galaxies, to determine information about the geometry of the Universe and hence the Hubble constant, typically in a combination with other cosmological parameters.

The size of the remaining systematics indicate that accuracy rather than precision is the remaining problem in a good determination of the Hubble constant. Whether a discrepancy exists, and whether new physics is needed to resolve it, depends on details of the systematics of the object-based methods, and also on the assumptions about other cosmological parameters and which datasets are combined in the case of the all-sky methods.

Living Reviews in Relativity is a pioneer open-access journal project, which started operations in The Max Planck Institute for Gravitational Physics Albert Einstein Institute is no longer able to operate Living Reviews in Relativity, but will continue to host the web site while the search for a long term solution for the journal is underway.

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HYPERSPACE CONTINUUM: The Five-Dimensional Continuum Approach to a . In fact, Einstein did not at first believe that developing a unified field theory. Hyperspace Continuum: The five-dimensional continuum approach to a unified field theory - Kindle edition by James E. Beichler. Download it once and read it.

We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model DGP , cascading gravity and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models.

Finally, we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity. ABSTRACT: Equal-arm detectors of gravitational radiation allow phase measurements many orders of magnitude below the intrinsic phase stability of the laser injecting light into their arms.

This is because the noise in the laser light is common to both arms, experiencing exactly the same delay, and thus cancels when it is differenced at the photo detector. In this situation, much lower level secondary noises then set the overall performance. If, however, the two arms have different lengths as will necessarily be the case with space-borne interferometers , the laser noise experiences different delays in the two arms and will hence not directly cancel at the detector.

In order to solve this problem, a technique involving heterodyne interferometry with unequal arm lengths and independent phase-difference readouts has been proposed. It relies on properly time-shifting and linearly combining independent Doppler measurements, and for this reason it has been called time-delay interferometry TDI. This article provides an overview of the theory, mathematical foundations, and experimental aspects associated with the implementation of TDI. Although emphasis on the application of TDI to the Laser Interferometer Space Antenna LISA mission appears throughout this article, TDI can be incorporated into the design of any future space-based mission aiming to search for gravitational waves via interferometric measurements.

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We have purposely left out all theoretical aspects that data analysts will need to account for when analyzing the TDI data combinations. Part II ca. Goenner on 23 June ABSTRACT: The present review intends to provide an overall picture of the research concerning classical unified field theory, worldwide, in the decades between the mid and mid Main themes are the conceptual and methodical development of the field, the interaction among the scientists working in it, their opinions and interpretations. Next to the most prominent players, A. Einstein and E. Schrodinger, V.

Hlavaty and the French groups around A. Lichnerowicz, M. Tonnelat, and Y. Thiry are presented.