Introduction to the Theory of Goyaks (Operator Manifold Approach to Geometry and Particle Physics)

The 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, which reveals the primordial deeper structures underlying fundamantal 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 on; 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 involved into reciprocal linkage establishing processes. We elaborated a new mathematical framework, which is a still wider generalization of the familiar methods of secondary quantization with appropriate expansion over the geometric objects. One interesting offshoot of it directly leads to the formalism of operator manifold, which framed our discussion throughout this paper. It yields the quantization of geometry, which differs in principle from all earlier studies. Many of the important anticipated properties, basic concepts and principles of particle physics are appeared quite naturally in the framework of suggested theory. It predicts a class of possible models of internal symmetries, which utilize the whole idea of gauge symmetry and reproduce the known phenomenology of electromagnetic, weak and strong interactions. Here we focused our attention mainly on developing the mathematical foundations for our novel viewpoint. We believe that the more realistic final theory of particles and interactions can be found within theComment: 86 pages, LaTex, the revised version of ICTP Preprint (Sep.,1994) submitted to Annals of Physic

Operator Manifold Approach to Geometry and Particle Physics

The question that guides our discussion is how did the geometry and particles come into being. The present theory reveals primordial deeper structures underlying fundamental concepts of contemporary physics. We begin with a drastic revision of a role of local internal symmetries in physical concept of curved geometry. A standard gauge principle of local internal symmetries is generalized. The gravitation gauge group is proposed, which is generated by hidden local internal symmetries. Last two parts address to the question of physical origin of geometry and basic concepts of particle physics such as the fields of quarks with the spins and various quantum numbers, internal symmetries and so forth; also four basic principles of Relativity, Quantum, Gauge and Color Confinement, which are, as it was proven, all derivative and come into being simultaneously. The most promising aspect of our approach so far is the fact that many of the important anticipated properties, basic concepts and principles of particle physics are appeared quite naturally in the framework of suggested theory.Comment: LaTex, 42 pages, email [email protected]

Gravitation and inertia; a rearrangement of vacuum in gravity

We address the gravitation and inertia in the framework of 'general gauge principle', which accounts for 'gravitation gauge group' generated by hidden local internal symmetry implemented on the flat space. We connect this group to nonlinear realization of the Lie group of 'distortion' of local internal properties of six-dimensional flat space, which is assumed as a toy model underlying four-dimensional Minkowski space. The agreement between proposed gravitational theory and available observational verifications is satisfactory. We construct relativistic field theory of inertia and derive the relativistic law of inertia. This theory furnishes justification for introduction of the Principle of Equivalence. We address the rearrangement of vacuum state in gravity resulting from these ideas.Comment: 17 pages, no figures, revtex4, Accepted for publication in Astrophys. Space Sc

Two-step spacetime deformation induced dynamical torsion

We extend the geometrical ideas of the spacetime deformations to study the physical foundation of the post-Riemannian geometry. To this aim, we construct the theory of 'two-step spacetime deformation' as a guiding principle. We address the theory of teleparallel gravity and construct a consistent Einstein-Cartan (EC) theory with the 'dynamical torsion'. We show that the equations of the standard EC theory, in which the equation defining torsion is the algebraic type and, in fact, no propagation of torsion is allowed, can be equivalently replaced by the set of 'modified EC equations' in which the torsion, in general, is dynamical. The special physical constraint imposed upon the spacetime deformations yields the short-range propagating spin-spin interaction.Comment: 17 pages, no fifure