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Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a brief, integrated approach that exploits standard and non-standard notions, as well as recent advances, in a natural geometric language in which the role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. In proposing an original bridge between physics and mathematics, this text will appeal not only to mathematicians who wish to understand some of the basic ideas involved in quantum particle physics, but also to physicists who are not satisfied with the usual mathematical presentations of their field.
This text investigates the intersection of gravitation and quantum physics by re-evaluating the mathematical foundations of gauge field theory through a natural geometric framework. Author Daniel Canarutto utilizes an integrated approach that synthesizes standard and non-standard mathematical notions to propose a novel bridge between physical theory and geometric structure. The work argues that the role of structure groups can be treated as secondary, even within the context of gauge fields, to provide a more cohesive mathematical presentation of quantum particle physics.
What You Will Find
Scope Limits
Experts and readers note that this text serves as a specialized bridge for those seeking a more rigorous geometric foundation for quantum physics. The prose is dense and requires a high level of mathematical literacy to fully grasp the proposed theoretical shifts.
Page Count:
368
Publication Date:
2020-01-01
Publisher:
OUP Oxford
ISBN-10:
0192606212
ISBN-13:
9780192606211
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