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A modification of Kaluza-Klein theory is proposed which is general enough to admit an arbitrary finite noncommutative internal geometry. It is shown that the existence of a non-trival extension to the total geometry of a linear connection…

High Energy Physics - Theory · Physics 2009-10-28 A. Kehagias , J. Madore , J. Mourad , G. Zoupanos

A way to add an extra dimension is briefly discussed.

Classical Analysis and ODEs · Mathematics 2007-10-15 Stephen Semmes

Singular theories, characterised by the presence of degeneracies in their Lagrangian or Hamiltonian descriptions, require the systematic implementation of constraints in order to obtain well-defined dynamics. While the symplectic framework…

Mathematical Physics · Physics 2026-05-01 Callum Bell , David Sloan

We study the weak localization correction (WLC) to transport coefficients of a system of electrons in a static long-range potential (e.g. an antidot array or ballistic cavity). We found that the weak localization correction to the current…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , A. I. Larkin

We recently proposed a chameleonic solution to the cosmological constant problem - Phys. Rev. D82 (2010) 044006. One of the results of that paper is a non-equivalence of different conformal frames at the quantum level. In this letter we…

High Energy Physics - Theory · Physics 2012-06-21 Andrea Zanzi

This study investigates the atomistic spin system in $\rm CrCl_{3}$, which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We analyze the complete model of discrete spin dynamics on a…

Mathematical Physics · Physics 2024-07-19 Mengjia Bai , Jingrun Chen , Zhiwei Sun , Yun Wang

We discuss some aspects of string cosmology with an emphasis on the role played by the dilaton. A cosmological scenario based on the assumption that all spatial dimensions are periodic so that winding modes play an important role is…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

This paper gives a complete classification of linear repetitivity (LR) for a natural class of aperiodic Euclidean cut and project schemes with convex polytopal windows. Our results cover those cut and project schemes for which the lattice…

Dynamical Systems · Mathematics 2020-12-02 Henna Koivusalo , James J. Walton

Modeling and analysis of non-functional properties, such as timing constraints, is crucial in automotive real-time embedded systems. EAST-ADL is a domain specific architectural language dedicated to safetycritical automotive embedded system…

Software Engineering · Computer Science 2018-07-03 Eun-Young Kang , Dongrui Mu , Li Huang

Linear Geometry describes geometric properties that depend on the fundamental notion of a line. In this paper we survey basic notions and results of Linear Geomery that depend on the flat hulls: flats, exchange, rank, regularity,…

History and Overview · Mathematics 2026-04-08 Taras Banakh , Ivan Hetman , Alex Ravsky , Vlad Pshyk

We review the landscape of QCD axion models. Theoretical constructions that extend the window for the axion mass and couplings beyond conventional regions are highlighted and classified. Bounds from cosmology, astrophysics and experimental…

High Energy Physics - Phenomenology · Physics 2022-06-08 Luca Di Luzio , Maurizio Giannotti , Enrico Nardi , Luca Visinelli

We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of…

Differential Geometry · Mathematics 2025-01-17 Demetre Kazaras , Kai Xu

This article is a continuation of a previous work that dealt with the topological obstructions to the reductions of the bundle of linear frames on a spacetime manifold for a particular chain of subgroups of GL(4). In this article, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Delphenich

The geometrical structure of PLS shrinkages is here considered. Firstly, an explicit formula for the shrinkage vector is provided. In that expression, shrinkage factors are expressed a averages of a set of basic shrinkages that depend only…

Statistics Theory · Mathematics 2025-10-17 Paolo Foschi

We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface is a periodic graph we show long time existence of the…

Analysis of PDEs · Mathematics 2014-09-26 Gwenael Mercier , Matteo Novaga

I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the…

High Energy Physics - Lattice · Physics 2008-05-19 A. Shindler

LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian LCD codes are…

Information Theory · Computer Science 2016-08-08 Cem Güneri , Buket Özkaya , Patrick Solé

Classical clocks measure proper time along their worldline, and Riemannian geometry provides tools for predicting the time shown by clocks in both flat and curved spacetimes. Common approaches to time in quantum systems, based for instance…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Joseph Balsells , Martin Bojowald

We review the construction of time-dependent backgrounds with space-like singularities. We mainly consider exact CFT backgrounds. The algebraic and geometric aspects of these backgrounds are discussed. Physical issues, results and…

High Energy Physics - Theory · Physics 2009-11-10 Amit Giveon , Eliezer Rabinovici , Amit Sever

The nonlinear dc conductance of a two-terminal chaotic cavity is investigated. The fluctuations of the conductance (anti)symmetric with respect to magnetic flux inversion through multichannel cavities are found analytically for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mikhail L. Polianski , Markus Buttiker