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Fiber bundles, Yang and the geometry of spacetime.

Pasinato, Federico (2018) Fiber bundles, Yang and the geometry of spacetime. Bachelor's Thesis, Physics.

Fiber Bundles, Yang and the geometry of spacetime - Federico Pasinato.pdf

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Since the early 20th century it has been understood that nature at the subatomic scale requires quantum mechanics, but the great break through was the description of nature in terms of fields, led by Maxwell’s ingenuous achievements of unifying Electricity and Magnetism with light. Einstein followed, placing Space and Time at the same footing relating them with matter through geometry. Herman Weyl tried to geometrize Maxwell’s theory in the same spirit of Einstein and opened the doors to gauge theories, which C. N. Yang and R. Mills used to generalized the concept to non-abelian gauge groups to account for the other two forces of nature, the Weak and the Strong. It was then shown that such gauge theories should be regarded as specific geometric constructs, namely fiber bundle manifolds, the topic of research is to understand the mathematical formalism and how it relates the known forces of nature.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Pallante, E. and Waalkens, H.
Degree programme: Physics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 03 Aug 2018
Last Modified: 03 Aug 2018 09:40

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