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The book presents a novel mathematical approach to understanding Quantum Yang-Mills theory, focusing on the unresolved "mass gap" property. The author introduces a framework that incorporates Observers and redefines arithmetic operations, leading to new calculus and differential geometry. This perspective allows for a generalization of Yang-Mills equations, proof of the mass gap's existence, and exploration of matrix Lie groups and algebras. Ultimately, it aims to establish a clearer theoretical foundation for Yang-Mills theory and its implications for grand unified theories and the Standard model of particle physics.
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Observability and Mathematics, Boris Khots
- Language
- Released
- 2024
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- (Hardcover)
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- Subtitle
- Quantum Yang-Mills Theory and Modelling
- Language
- English
- Authors
- Boris Khots
- Publisher
- De Gruyter
- Released
- 2024
- Format
- Hardcover
- Pages
- 214
- ISBN13
- 9783111397351
- Series
- Rating
- 4 out of 5
- Description
- The book presents a novel mathematical approach to understanding Quantum Yang-Mills theory, focusing on the unresolved "mass gap" property. The author introduces a framework that incorporates Observers and redefines arithmetic operations, leading to new calculus and differential geometry. This perspective allows for a generalization of Yang-Mills equations, proof of the mass gap's existence, and exploration of matrix Lie groups and algebras. Ultimately, it aims to establish a clearer theoretical foundation for Yang-Mills theory and its implications for grand unified theories and the Standard model of particle physics.