Foundations of Mathematics and Physics One Century After Hilbert

Foundations of Mathematics and Physics One Century After Hilbert

New Perspectives

Kouneiher, Joseph

Springer International Publishing AG

06/2018

441

Dura

Inglês

9783319648125

15 a 20 dias

6864


ebook

Descrição não disponível.
Preface : Where we stand today, Joseph Kouneiher.- Mie's Electromagnetic Theory of Matter and the Background to Hilbert's Unified Foundations of Physics, Leo Corry.- Hilbert and Einstein, Joseph Kouneiher, John Stachel.- Grothendieck on foundations for the rebirth of geometry, Colin MacLarty.- Understanding the 6-Dimensional Sphere, Michael Aityah.- A dozen problems, questions and conjectures about positive scalar curvature, Misha Gromov.- Geometry and the Quantum, Alain Connes.- What Every Physicist Should Know About String Theory, Edward Witten.- Quanta of Space-Time and Axiomatization of Physics, Ali Chamsddine.- Twistor Theory as an Approach to Fundamental Physics, Roger Penrose.- What are we missing in our search for quantum gravity?, Lee Smolin.- A schema for duality, illustrated by bosonization, Jeremy Butterfield and Sebastian de Haro.- The dressing field method of gauge symmetry reduction, a review with examples, Thierry Masson et al.- Syntactic Phylogenetic Trees, Matilde Marcolli.
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Minkowski space;Noncommutative geometry;K-homology;Relationship between physics and mathematics;K-theory;Heisenberg commutation relations;Twistor theory;Bosonization;Pati-Salam symmetries;Hilbert's sixth problem;quantum groups;Virasoro algebra;Penrose's quasi-local mass construction;Thirring model;massive integrable field theory;string theory;quantum gravity;gauge theory;Hilbert's foundations of physics;Riemannian geometry