Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints

“The book is structured into four chapters and an appendix. ... This monograph offers an original perspective on the foundations of quantum theory. It will be of particular interest to researchers in mathematical physics, especially those engaged in algebraic formulations of quantum mechanics, operator algebras, and geometric approaches to QFT. While further development is required to assess the physical applicability of the proposed models, the formal innovations presented here suggest a promising direction for foundational inquiry.” (Marcelo Santos Guimaraes, Mathematical Reviews, November 7, 2025)