2010/04/09 by Peter Rowlands, Rowlands, Peter
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1004.1523
39 pages
arxiv created 2010/04/09 · openalex publication_date 2010/04/09 · arxiv updated 2010/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nilpotent quantum mechanics provides a powerful method of making efficient calculations. More importantly, however, it provides insights into a number of fundamental physical problems through its use of a dual vector space and its explicit construction of vacuum. Physical interpretation of the nilpotent formalism is discussed with respect to boson and baryon structures, the mass-gap problem, zitterbewgung, Berry phase, renormalization, and related issues.