Table of Contents
Chapter 1. A Priori Realism
Chapter 2. The Fundamental Entities
Chapter 3. The Design of Ontological Structure
Chapter 4. Properties of the Fundamental Entities
Chapter 5. Compounds of the Fundamental Entities: Particles and their Anti-Particles
Chapter 6. Parallel Sub-Universes
Chapter 7. The Multiplication Space as an Alternative to Space-Time Manifold
Chapter 8. Reality and Cognition
Chapter 9. Epilogue: Apriorics and Physics
“It has been a great pleasure for me to review the excellent book of Yakir Shoshani entitled Apriorics: Model of Elementary Particles and Beyond. Apriorics is the only approach that exists to date to my knowledge that is able to predict the number of elementary fermion and bosons that are described by the standard model. Moreover, it is the only axiomatic approach that is able to explain the dimensionality of space-time.
Another benefit of Apriorics is an explanation of an expanding space-time. All those results are derived from five axioms describing the allowed ways to connect nodes of a graph. The nodes are denoted “fundamental entities” and the graph is denoted “ontological structure”. The approach does not include adjusting any free parameters. In this framework one is able to understand the notion of “existence” of either an event or a particle in a unified way. The philosophical motivation behind the axioms is that every entity can only be described in terms of its connection to other entities as the only meaning one can ascribe to a part is its relation to the whole. Another important concept is abstracted from the standard model that is that “interaction” between two nodes can only occur by a third node. (Every interaction between two particles is a result of a “gauge” boson particle).
The above important results do not imply that the work is completed. Many notions which are parts of theoretical physics such as metric or field are not defined in the book. There is neither an explanation of how one should calculate the parameters of the standard model of elementary particles or of cosmology including the elementary particles masses. Another notion that is missing is the “sub ontological structure” that is a sub set of nodes of an ontological structure that is itself an ontological structure. Such a notion would help us to understand regardless of the ontological structure that is our reality why the smallest things that we can detect are the perceived elementary particles.
The work is a much needed collection of the results derived by the author is the last thirty years and published in refereed journals in addition to some new results. I am sure that a publication of the book will help the scientific community to appreciate this unique approach and complete the missing pieces of the puzzle.” – Asher Yahalom, Professor, Ariel University, Israel
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This book is mainly designed for researchers, including graduate students interested in the philosophical aspects of physics. However, owing to the simplified presentation of the concepts, ideas and framework of the suggested theory, it may also expand the horizons of undergraduate students in physics, mathematics and philosophy, and teachers of these fields as well in high schools and colleges.