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Undecidable First-Order Theories of Affine Geometries [PDF]
Logical Methods in Computer Science, 2013 Tarski initiated a logic-based approach to formal geometry that studies first-order structures with a ternary betweenness relation \beta, and a quaternary equidistance relation \equiv.
Antti Kuusisto +2 more
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Generalized teleparallel de Sitter geometries [PDF]
European Physical Journal C: Particles and Fields, 2023 Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metric compatible spin-connection.
A. A. Coley +3 more
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Brain's geometries for movements and beauty judgments. A contribution of topos geometries [PDF]
Frontiers in PsychologyWe present a theory on the neural basis of aesthetic experience, and judgment of beauty. It is based on both empirical facts concerning brain mechanisms and theoretical mathematical theories.
Daniel Bennequin, Alain Berthoz
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Spherically symmetric teleparallel geometries [PDF]
European Physical Journal C: Particles and FieldsWe are interested in the development of spherically symmetric geometries in F(T) teleparallel gravity which are of physical importance. We first express the general forms for the spherically symmetric frame and the zero curvature, metric compatible, spin
A. A. Coley +3 more
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Buckling during drying of edible soft matter with cylindrical core–shell geometry [PDF]
Current Research in Food ScienceThis paper investigates the large deformation during the drying of cylindrical core–shell geometries, having a stiff skin and a soft core of gel-like material, representing food materials like fruits or vegetables. This particular geometry is inspired by
R.G.M. van der Sman +2 more
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An energetically consistent surface correction method for bond-based peridynamics
Forces in Mechanics, 2022 A novel surface correction method is proposed for bond-based peridynamics which ensures energy consistency with a classical reference body for general affine deformations.
Jonas Ritter +3 more
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Movement timing and invariance arise from several geometries. [PDF]
PLoS Computational Biology, 2009 Human movements show several prominent features; movement duration is nearly independent of movement size (the isochrony principle), instantaneous speed depends on movement curvature (captured by the 2/3 power law), and complex movements are composed of ...
Daniel Bennequin +3 more
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New metric-affine generalizations of gravitational wave geometries
European Physical Journal C: Particles and Fields, 2020 In this paper we explore generalizations of metric structures of the gravitational wave type to geometries containing an independent connection. The aim is simply to establish a new category of connections compatible, according to some criteria, to the ...
Alejandro Jiménez-Cano
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Carrollian and celestial spaces at infinity
Journal of High Energy Physics, 2022 We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a ...
José Figueroa-O’Farrill +3 more
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Sensors, 2021 A large amount of information needs to be identified and produced during the process of promoting projects of interest. Thermal infrared (TIR) images are extensively used because they can provide information that cannot be extracted from visible images ...
Hyoseon Jang +4 more
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