A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
A multi-neck spacetime wormhole is constructed with a simple metric tensor.
Modeling wormhole creation without singularities in relativity.
The paper studies geometric structures of wormholes using a new connection.
It is shown that 3D part of a spherically symmetric solution in conformal Weyl gravity interacting with Maxwell electrodynamics is a Yamabe flow as well. The Yamabe flow describes the transition from a horn of an initial wormhole to a 3D Euclidean space both filled with a radial electric field. It is supposed that such…
Extends results of math-ph/0407067
Study wormholes in Einstein-Yang-Mills theory with a phantom field.
The idea is considered that a quantum wormhole in a spacetime foam can be described as a Ricci flow. In this interpretation the Ricci flow is a statistical system and every metric in the Ricci flow is a microscopical state. The probability density of the microscopical state is connected with a Perelman's functional of …
We establish a general gluing theorem for constant mean curvature solutions of the vacuum Einstein constraint equations. This allows one to take connected sums of solutions or to glue a handle (wormhole) onto any given solution. Away from this handle region, the initial data sets we produce can be made as close as desi…
We study for which polynomials a thin shell wormhole with a continuous metric (connecting two Schwarzschild spacetimes of the same mass) satisfy the null energy condition (NEC) in -gravity. We avoid junction conditions by using the mathematical framework of the Colombeau algebra which describes a generalized …
We connect topological changes that can occur in -space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena, including relationships between quantum entanglement and wormhole formation. By considering the initial manifold as the -dimensional spatial sectio…
Study wormholes in surface moduli space, proving conjecture.
Paper proves a new criterion for time-like geodesics in flat spacetimes.
We study the evolution of wormhole geometries under Ricci flow using numerical methods. Depending on values of initial data parameters, wormhole throats either pinch off or evolve to a monotonically growing state. The transition between these two behaviors exhibits a from of critical phenomena reminiscent of that obser…
Because no closed timelike curve (CTC) on a Lorentzian manifold can be deformed to a point, any such manifold containing a CTC must have a topological feature, to be called a timelike wormhole, that prevents the CTC from being deformed to a point. If all wormholes have horizons, which typically seems to be the case in …
Extends results of math-ph/0407067
A method for fast estimation of Wasserstein distances using sliced Wasserstein distances.
Recent empirical results on long-term dependency tasks have shown that neural networks augmented with an external memory can learn the long-term dependency tasks more easily and achieve better generalization than vanilla recurrent neural networks (RNN). We suggest that memory augmented neural networks can reduce the ef…
We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology and natural sciences and creates a new platform for exploring geometrical physics…
A particular Riemannian metric which originally has been obtained for a well-known coordinate system in the Euclidean 3-space, is shown to specify, in fact, a manifold with boundary. There are two ways to make the manifold complete. One is to identify two halves of the boundary that turns the manifold into Euclidean 3-…
We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology and natural sciences and creates a new platform for exploring geometrical physics…
This study aims to improve communication between fragmented blockchain systems in finance.
We give a new construction of Einstein and Kaehler-Einstein manifolds which are asymptotically complex hyperbolic, inspired by the work of Mazzeo-Pacard in the real hyperbolic case. The idea is to develop a gluing theorem for 1-handle surgery at infinity, which generalizes the Klein construction for the complex hyperbo…
In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci flow with surgery and conformal rescalings and has a number of nice properties. In particular, wormholes pinch off and nontrivial spherical s…
The paper finds conditions for pseudosymmetric spacetimes to be perfect fluids.
We consider (flat) Cauchy-complete GH spacetimes, i.e., globally hyperbolic flat lorentzian manifolds admitting some Cauchy hypersurface on which the ambient lorentzian metric restricts as a complete riemannian metric. We define a family of such spacetimes - model spacetimes - including four subfamilies: translation sp…
Jebsen-Birkhoff theorem extended to Berwald spacetimes.
The paper introduces and analyzes pseudo generalized Ricci-recurrent spacetimes in modified gravity.
The study characterizes spacetimes with quasi-constant sectional curvature and explores their properties in -gravity.
The article introduces pseudo generalized Ricci-recurrent spacetimes and their applications in modified gravity.
The paper studies the past inextendibility of FLRW spacetimes using the VDR asymptote.
Study explores geometric properties of Vaidya-Bonner-de Sitter spacetime.
The study characterizes GRW spacetimes with gradient solitons and phantom era.
Characterizes Lorentzian manifolds embeddable in Minkowski spacetime.
New proof shows FLRW spacetimes can't be extended smoothly in certain axisymmetric cases.
Study of quasilocal mass using isometric embedding in various spacetimes.
Characterizes pseudo B-symmetric spacetimes and their implications in f(R) gravity.
Characterizes a specific type of spacetime using vector fields.
Study maximal hypersurfaces in open spacetimes using a maximum principle.
We synthesize and extend the previous ideas about appearance of both noncommutative and Finsler geometry in string theory with nonvanishing B--field and/or anholonomic (super) frame structures \cite{vstring,vstr2,vnonc,vncf}. There are investigated the limits to the Einstein gravity and string generalizations containin…
The study explores properties of a specific type of spacetime.
New findings show cosmological constant as initial condition for non-isotropic spacetimes.
We consider the class of locally boost isotropic spacetimes in arbitrary dimension. For any spacetime with boost isotropy, the corresponding curvature tensor and all of its covariant derivatives must be simultaneously of alignment type relative to some common null frame. Such spacetimes are known as type ${\b…
Study finds unique and non-existent constant mean curvature hypersurfaces in specific spacetimes.
New Galilean spacetimes found as pp-wave reductions.
Study revisits Bondi mass and discusses memory effect in polyhomogeneous spacetimes.
Study baryogenesis in conformally flat spacetimes using causal fermion systems.
In 2+1 dimensions, all complete spacetimes are cylindrical.
The study examines perfect fluid spacetimes and their properties.