Results 11 to 20 of about 1,685,988 (224)
Comparing crystal structures with symmetry and geometry
npj Computational Materials, 2021 Measuring the similarity between two arbitrary crystal structures is a common challenge in crystallography and materials science. Although there are an infinite number of ways to mathematically relate two crystal structures, only a few are physically ...
John C. Thomas +2 more
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Non-metric geometry as the origin of mass in gauge theories of scale invariance [PDF]
European Physical Journal C: Particles and Fields, 2023 We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
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Symmetry, Geometry and Quantization with Hypercomplex Numbers [PDF]
Geometry, Integrability and Quantization, 2016 These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numbers - complex, dual and double numbers. Relations between quantum and classical mechanics are clarified in this framework.
V. Kisil
semanticscholar +5 more sources
Affine Geometry, Visual Sensation, and Preference for Symmetry of Things in a Thing [PDF]
Symmetry, 2016 Evolution and geometry generate complexity in similar ways. Evolution drives natural selection while geometry may capture the logic of this selection and express it visually, in terms of specific generic properties representing some kind of advantage ...
Birgitta Dresp
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T-Symmetry in String Geometry Theory
Advances in High Energy PhysicsString geometry theory is one of the candidates of nonperturbative formulation of string theory. In this paper, we have shown that dimensionally reduced string geometry theories have what we call T-symmetry.
Matsuo Sato, Taiki Tohshima
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The geometry underlying mirror symmetry [PDF]
, 1999 26 pages, AmS-LaTeX. Final version, to appear in Proc. European Algebraic Geometry Conference (Warwick, 1996)
David R. Morrison
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Visual and hidden symmetry in geometry
Computers & Mathematics with Applications, 1989 AbstractA symmetry appears in modern geometry and its numerous applications both in explicit form (visually trivial) and sometimes, through sufficiently complex mathematical transformations, in veiled, hidden form. This current paper is made up of commentaries to a series of mathematical, graphical works of the author.
A. T. Fomenko
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Superfluid Weight Bounds from Symmetry and Quantum Geometry in Flat Bands. [PDF]
Physical Review Letters, 2021 Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the critical temperature through the Berezinksii-Kosterlitz-Thouless criteria, is ...
Jonah Herzog-Arbeitman +4 more
semanticscholar +1 more source
Geometry and symmetry in skyrmion dynamics [PDF]
Physical Review B, 2021 The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the Landau-Lifshitz-Gilbert equation with Zhang-Li torque and explain them through a geometric analysis of Thiele's ...
Bernd J. Schroers +7 more
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On the Geometry of Symmetry Breaking Inequalities [PDF]
Mathematical Programming, 2021 Breaking symmetries is a popular way of speeding up the branch-and-bound method for symmetric integer programs. We study fundamental domains, which are minimal and closed symmetry breaking polyhedra. Our long-term goal is to understand the relationship between the complexity of such polyhedra and their symmetry breaking capability. Borrowing ideas from
José Verschae +2 more
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