Results 121 to 130 of about 230,209 (162)

Rolandion Algebra as a Mathematically Rigorous Framework for Quantum Gravity

We present Undecion (or Rolandion) Algebra, a mathematically rigorous 11-dimensional algebraic framework designed to bridge quantum mechanics and general relativity. Unlike previous approaches that struggle with mathematical consistency or experimental testability, our framework provides: (1) a precise scale-dependent product that smoothly interpolates
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Frobenius Algebras and 2-D Topological Quantum Field Theories

, 2004
This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras.
Joachim Kock
semanticscholar   +1 more source

Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

2017
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory ...
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On Quantum Algebra

Mathematical Proceedings of the Cambridge Philosophical Society, 1926
P. Dirac
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

The present book grew from lecture notes we have written for participants of lectures on applications of C^{∗}-algebra theory to the foundations of quantum statistical mechanics, as well as a mini-course on thermodynamic equilibrium of quantum lattice systems with mean-field interactions, we held at the Institute of Physics of the University of São ...
Bru, J.-B., de Siqueira Pedra, W.
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Deep Beauty

2011
No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This book is about how mathematical innovation can help us gain deeper insight into the structure of the physical world.
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On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism

Geometry in History, 2019
A. Plotnitsky
semanticscholar   +1 more source

Algebras

2013
Jan Dereziński, Christian Gérard
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FROBENIUS ALGEBRAS AND 2D TOPOLOGICAL QUANTUM FIELD THEORIES (London Mathematical Society Student Texts 59) By JOACHIM KOCK: 240 pp., £60.00/US$90.00 (LMS members' price £45.00/US$67.50), £22.99/US$35.00 (LMS members' price £17.24/US$26.25)(P), ISBN 0-521-83267-5/0-521-54031-3(P) (Cambridge University Press, 2003)

, 2004
David N. Yetter
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