Observability and Mathematics

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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.