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Singularity Theorems in the Effective Field Theory for Quantum Gravity at Second Order in Curvature
Universe, 2020 In this paper, we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, the effective field theory contains two new degrees of freedom which have important implications for the derivation of ...
Folkert Kuipers, Xavier Calmet
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Classical Theory of Singularities [PDF]
SSRN Electronic Journal, 2023 The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology?
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Stability analysis for Selkov-Schnakenberg reaction-diffusion system
Open Mathematics, 2021 This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations.
Al Noufaey K. S.
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K-theory and the singularity category of quotient singularities [PDF]
Annals of K-Theory, 2021 In this paper we study Schlichting's K-theory groups of the Buchweitz-Orlov singularity category $\mathcal{D}^{sg}(X)$ of a quasi-projective algebraic scheme $X/k$ with applications to Algebraic K-theory. We prove that for isolated quotient singularities $\mathrm{K}_0(\mathcal{D}^{sg}(X))$ is finite torsion, and that $\mathrm{K}_1(\mathcal{D}^{sg}(X)) =
Pavic, Nebojsa, Shinder, Evgeny
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Advances in Mechanical Engineering, 2021 In this paper, a more computationally convenient singularity condition of the enveloped surface is proposed using the theory of linear algebra. Its preconditions are only the tangential vector of the enveloping surface, the relative velocity vector, and ...
Mu Shi-Bo +4 more
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5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds
SciPost Physics, 2022 We study the orbifold singularities $X=\mathbb{C}^3/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(3)$. M-theory on this orbifold singularity gives rise to a 5d SCFT, which is investigated with two methods.
Jiahua Tian, Yi-Nan Wang
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Capturing information on curves and surfaces from their projected images
International Journal of Mathematics for Industry, 2020 Obtaining complete information about the shape of an object by looking at it from a single direction is impossible in general. In this paper, we theoretically study obtaining differential geometric information of an object from orthogonal projections in ...
Masaru Hasegawa +2 more
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Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces
Journal of High Energy Physics, 2022 For spacetimes containing quiescent singularity hypersurfaces we propose a general notion of junction conditions based on a prescribed singularity scattering map, as we call it, and we introduce the notion of a cyclic spacetime (also called a multiverse)
Bruno Le Floch +2 more
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Confinement in (1 + 1) dimensions: a holographic perspective from I-branes
Journal of High Energy Physics, 2023 In this paper we holographically study the strongly coupled dynamics of the field theory on I-branes (D5 branes intersecting on a line). In this regime, the field theory becomes (2 + 1) dimensional with 16 supercharges.
Carlos Nunez +2 more
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Cosmological theory without singularities [PDF]
Physical Review D, 1993 A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach de Sitter space. The action for this theory is obtained by a higher derivative modification of Einstein's theory.
Brandenberger, R. +2 more
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