Abstract The Gibbons-Werner (GW) method is a powerful approach in studying the gravitational deflection of particles moving curved spacetimes. application Gauss-Bonnet theorem (GBT) to integral regions constructed two-dimensional manifold enables angle be expressed and calculated from perspective geometry. However, different techniques are required for scenarios practical implementation which leads GW methods. For stationary axially symmetric (SAS) spacetimes, we identify two problems: (a)...

We have studied the shadow of a regular phantom black hole as photons couple to Weyl tensor. find that due coupling with different polarization directions propagate along paths in spacetime so there exists double for hole, which is quite from non-coupling case where only single emerges. The overlap region shadow, umbra, increases charge and decreases strength. dependence penumbra on strength converse umbra. Combining supermassive central object our Galaxy, we estimated Our results show...

Context. A new X-ray Cataclysmic variable (CV) candidate exhibits distinct light-curve characteristics in the ZTF’s g , r and i bands. The paper includes optical identification multiwavelength analysis of this CV candidate. Aims. This work aims to determine if a previously identified candidate, ZTF J0112+5827, is polar system by examining its cyclotron radiation characteristics. Methods. We characterized emission J0112+5827 using ROSAT observations. gri -band light curves were obtained from...

Geochemical data serve as crucial references for prospecting, and the effective extraction of prospecting information from such determines success rate exploration. In era big data, novel methods based on geochemical offer new ideas exploring various ore deposits. By employing advanced analysis techniques like machine learning artificial intelligence, it becomes possible to identify elusive patterns trends that are challenging detect using traditional approaches, thereby significantly...

Abstract In this work, we propose to utilize the observed ratio of spherically-averaged distance sound horizon scale from Baryon Acoustic Oscillation (BAO) data test cosmic duality relation (CDDR) by comparing luminosity distances (LDs) obtained Type Ia supernovae (SNIa) observations with angular diameter (ADDs) derived these measurements, using a cosmological-model-independent method. To match LDs ADDs at identical redshifts, employ two methods: compressed form Pantheon sample and hybrid...

The Gibbons-Werner method has been widely used in the gravitational deflection problem of particles moving curved spacetime. By applying Gauss-Bonnet theorem (GBT) to regions constructed a two-dimensional manifold, angle can be expressed and calculated geometric manner. For asymptotically flat spacetimes, an infinite region is usually chosen. While for some nonflat ill defined due singular behavior metric, thus special were solve ill-defined problem. We propose generalized which choice...

Abstract A rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman–Janis algorithm recently. For such spacetime, we investigate weak gravitational deflection of massive particles to explore observational effects correction. The purpose this article is twofold. First, for Gibbons–Werner (GW) method, geometric approach computing angle curved spacetimes, refine its calculation obtain simplified formula....

We present firstly equation of motion for the photon coupled to Weyl tensor in a Kerr black hole spacetime and then study further corresponding strong gravitational lensing. find that rotation makes propagation photons more complicated, which brings some new features physical quantities including marginally circular orbit, deflection angle, observational lensing variables time delay between two relativistic images. There is critical value coupling parameter existence orbit outside event...

We lay the foundations of convex hypersurface theory (CHT) in contact topology, extending work Giroux dimension three. Specifically, we prove that any closed a manifold can be $C^0$-approximated by one. also $C^0$-generic family mutually disjoint hypersurfaces parametrized $t \in [0,1]$ is except at finitely many times $t_1, \dots, t_N$, and crossing each $t_i$ corresponds to bypass attachment. As applications CHT, existence compatible (relative) open book decompositions for manifolds an...

The Gibbons-Werner method for the gravitational deflection angle of unbound particles in static spherically symmetric spacetimes is based on Jacobi metric and Gauss-Bonnet theorem. When it extended to bound massive particles, there exist two difficulties: (a) Bound orbits may overlap with themselves azimuthally. To extend definition orbits, we divide orbit into multiple segments such that each segment does not itself azimuthally can be regarded as an orbit. (b) infinite region constructed...

For a closed oriented 3-manifold Y, we define an absolute grading on the Heegaard Floer homology groups of Y by homotopy classes 2-plane fields. We show that this refines relative one and it is compatible with maps induced cobordisms. also prove if {\xi} contact structure then invariant c({\xi}) class {\xi}.

Microarray technologies, which can measure tens of thousands gene expression values simultaneously in a single experiment, have become common research method for biomedical researchers. Computational tools to analyze microarray data biological discovery are needed. In this paper, we investigate the feasibility using formal concept analysis (FCA) as tool analysis. The FCA builds (concept) lattice from experimental together with additional information. For data, each vertex corresponds subset...

We initiate a systematic study of convex hypersurface theory and generalize the bypass attachment to arbitrary dimensions. also introduce new type overtwisted object called orange which is middle-dimensional contractible.

In this note we study several aspects of coisotropic submanifolds a contact manifold.In particular give structure theorem for the singularity characteristic foliation submanifold.Moreover establish existence and uniqueness results germs structures near Legendrian foliations, which is special case submanifold.This paper can be thought as an attempt to generalize surfaces in three-dimensional geometry higher dimensions.1 The flat general does not respect linear on normal bundle.See Section 2.2...

In this paper we prove the presence of an embedded plastikstufe implies overtwistedness contact structure in any dimension. Moreover, show dimension 5 that bordered Legendrian open book (bLob) also overtwistedness. Applications these criteria to certain (contact) fibered connected sums and books are discussed.

Qutrit is the natural extension of qubit in quantum information processing and has quite a few advantages that outperform qubit. In this paper, we investigate feasibility teleportation an unknown state, as well qutrit state using two-qutrit entangled pair. We show by carefully constructing measurement bases, both can be faithfully teleported from Alice to Bob with maximally state.

In this paper, we construct a canonical grading on bordered Heegaard Floer homology by homotopy classes of nonvanishing vector fields. This is generalization our construction an absolute and it extends the well-known with values in noncommutative group dened [5].

We use the generalized Pontryagin-Thom construction to analyze effect of attaching a bypass on homotopy class contact structure. In particular, given 3-dimensional manifold with convex boundary, we show that triangle attachment changes structure relative and difference is measured by Hopf invariant.

In [2], Eliashberg proved that two overtwisted contact structures on a closed oriented 3-manifold are isotopic through if and only they homotopic as 2-plane fields.We provide an alternative proof of this theorem using the convex surface theory bypasses.Contents 1. Preliminaries 565 2. Outline 567 3. Local properties bypass attachments 568 4. Isotoping up to 2-skeleton 573 5. Bypass triangle 576 6. Overtwisted S 2 × [0, 1] induced by isotopies.580 7. Classification 593 8. Proof main 597...

We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result Giroux-Pardon that states any Weinstein domain is homotopic to one which admits Lefschetz fibration and (ii) prove two fibrations whose structures are related by moves, affirming conjecture Giroux-Pardon.

The availability of large-scale protein-protein interaction data provides us with many opportunities to study molecular pathways involving proteins. In this paper we propose mine temporal relations in by data. particular, model the assembly protein complexes interval graphs and determine order joining pathway for proteins ordering vertices graph. We develop a tool called Xronos perform such computation. then apply ribosome present validation results obtained ordering. are promising show...