Boris Khots

Observability and Mathematics (eBook, PDF)

Quantum Yang-Mills Theory and Modelling

• Format: PDF

Produktbeschreibung

Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear. The ''mass gap'' property has been discovered by physicists from experiment, but it still has not been understood from a theoretical point of view. Proposed book describes author's approach to solution of this problem on base of Mathematics with Observers (removing from arithmetic infinity idea, taking into account Observers dependent ascending chain of embedded sets of finite decimal fractions with arithmetic operations locally coinciding with standard operations, and getting new calculus, diff geometry, etc), including interpretations of vector fields and differential forms, generalization of Yang-Mills equations, proof of mass gap existing, consideration the theory of matrix Lie groups and algebras, and this point of view gives the possibilities to make new approach and establish the existence of the Yang-Mills theory and a mass gap, Grand unified theories and Standard model of particle physics.

Boris Khots is a graduate of Lomonosov State University in Moscow, Russia. From 1996 to 2015, Dr. Khots worked at the Compressor Controls Corporation (CCC) in Des Moines, Iowa, USA. During his time at CCC, he held various positions such as Application Engineer, Senior Application Engineer, and Applications Engineering Leader. Dr. Khots' research focused on control systems analysis and mathematical modeling, control algorithms, and control system implementation. Currently, Dr. Khots is self-employed as an independent researcher. He has over 150 scientific publications listed, with a main research focus on mathematics (mathematics with observers, Lie groups and algebras) and its application to physics.

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Produktdetails

• Verlag: Walter de Gruyter GmbH & Co.KG
• Seitenzahl: 226
• Erscheinungstermin: 1. Juli 2024
• Englisch
• ISBN-13: 9783111398433
• Artikelnr.: 72276922

Autorenporträt

Boris Khots, DrSci, lives in Iowa, USA and is an Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer's Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers

Inhaltsangabe

1. Introduction. 2. Observability and Arithmetic. 3. Observability and
Vector Algebra. 4. Observability and Mathematical Analysis (Calculus). 5.
Classic Fluid Mechanics Equations and Observability. 6. Observability and
Thermodynamical Equations. 7. Observability and Equation of Continuity. 8.
Observability and Euler Equation of Motion of the Fluid. 9. Observability
and Energy Flux and Moment Flux Equations. 10. Observability and
Incompressible Fluids. 11. Observability and Navier-Stokes Equations. 12.
Observability and Relativistic Fluid Mechanics.