Results 191 to 200 of about 4,718 (211)

Quantum theories and geometric topology: A chapter in physical mathematics

International Journal of Geometric Methods in Modern Physics, 2014
In recent years, the interaction between geometric topology and classical and quantum field theories has attracted a great deal of attention from both the mathematicians and physicists. We discuss some topics from low-dimensional topology where this has led to new viewpoints as well as new results.
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A Space-Time-Topology-Prime, stTS Metric for a Self-operating Mathematical Universe Uses Dodecanion Geometric Algebra of 2-20 D Complex Vectors

2020
Advancing from eight imaginary worlds of octonion algebra, for the first time we introduce dodecanion algebra, a mathematical universe made of twelve imaginary worlds one inside another. The difference between eight and twelve imaginary worlds is that the Fano plane that sets the products of imaginary vectors is replaced by a triplet of manifolds that ...
Pushpendra Singh, Pathik Sahoo, Komal Saxena, Subrata Ghosh, Satyajit Sahu, Kanad Ray, Daisuke Fujita, Anirban Bandyopadhyay   +7 more
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Cosmic Topology: A Geometric Unification Theory Based on Noncommutative Geometry (Complete Rigorous Mathematical Derivation)

Starting from the spectral triple axioms of noncommutative geometry, we establish a complete and rigorous mathematical framework for SGCU (Cosmic Topology) through the non-perturbative regularization of matrix models. On the two-dimensional noncommutative torus, we numerically verify the multi-well potential structure and the existence of point-like ...
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Mathematical Principles of Topological and Geometric Data Analysis

2023
Parvaneh Joharinad, Jürgen Jost
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TECHNIQUES OF GEOMETRIC TOPOLOGY (London Mathematical Society Lecture Note Series, 57)

Bulletin of the London Mathematical Society, 1984
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Mathematical Formalism of Covariant Loop Dynamics: Tensor Elastodynamics and Topological Geometric Quantization

Permana, Bryan P, Ibrahim, Sage A, Lathief, Hanif A   +2 more
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Extruded-geometric-component-based 3D topology optimization

Computer Methods in Applied Mechanics and Engineering, 2020
Van-Nam Hoang, Hung Nguyen-Xuan
exaly  

Topology optimization by minimizing the geometric average displacement

Engineering Optimization, 2013
Shutian Liu
exaly  

Topology-Preserving and Geometric Feature-Correction Watermarking of Vector Maps

IEEE Access, 2020
Xinchang Zhang, Ying Sun, Qinchuan Xin
exaly  

Topology optimization considering material and geometric uncertainties using stochastic collocation methods

Structural and Multidisciplinary Optimization, 2012
Mattias Schevenels, Boyan S. Lazarov, Ole Sigmund   +2 more
exaly