Introduction to the Theory of Goyaks (Operator Manifold Approach to Geometry and Particle P.pdf

a r X i v : h e p - t h / 9 5 1 0 1 1 0 v 1 1 6 O c t 1 9 9 5 IC/94/290 International Atomic Energy Agency and United Nations Educational Scientific and Cultural Organization INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS INTRODUCTION TO THE THEORY OF GOYAKS OPERATOR MANIFOLD APPROACH TO GEOMETRY AND PARTICLE PHYSICS G.T.Ter-Kazarian 1 International Centre for Theoretical Physics, Trieste, Italy, MIRAMARE – TRIESTE September 1994 1Permanent Address: Byurakan Astrophysical Observatory, Armenia 378433. E-mail address:byur@mav.yerphi.am ABSTRACT The fundamental question that guides our discussion is ”how did the geometry and particles come into being?” To explore this query we suggest the theory of goyaks 2, which reveals the primordial deeper structures underlying fundamental concepts of contemporary physics. It address itself to the question of the prime-cause of origin of geometry and basic concepts of particle physics such as the fundamental fields of quarks and leptons with the spins and various quantum numbers, internal symmetries and so forth; also basic principles of Relativity, Quantum, Gauge and Color Confinement, which are, as it was proven, all derivative and come into being simultaneously. The substance out of which the geometry and particles are made is a set of new physical structures - the goyaks, which are involved into reciprocal linkage establishing processes. The most promising aspect of our approach so far is the fact that many of the impor- tant anticipated properties, basic concepts and principles of particle physics are appeared quite naturally in the framework of suggested theory. In pursuing the original problem further we have elaborated a new mathematical framework in order to describe the persistent processes of creation and annihilation of goyaks in the definite states. It is, in fact, a still wider generalization of familiar methods of secondary quantization with appropriate expansion over the geometric objects. One interesting offshoo