References - Bogoliubov Laboratory of Theoretical Physics - JINR

SPINDYNAMICS
I.B. Pestov
JINR, 141980, Dubna, Moscow region, Russia
† E-mail: pestov@theor.jinr.ru
Abstract
Geometrization of General Theory of Relativity and Quantum Mechanics leads
to Gravidynamics and Spindynamics. The key points of spindynamics are spin
symmetry (the fundamental realization of the concept of geometrical internal symmetry)
and the spin field (space of defining representation of spin symmetry). The
essence of spin is the bipolar structure of spin symmetry induced by the gravitational
potential. The bipolar structure provides natural violation of spin symmetry
and leads to the equations of spindynamics. Here we consider strong interactions
and confinement as natural elements of spindynamics.
1. Introduction. The Standard Model offers to explain some experimental facts but
it does not claim to find the origin of physical laws being one more attempt to describe
Nature in a possibly most effective way. The nature and origin of new natural system of
fundamental physical laws are defined by new concept of physical space, new concept of
time and independence of any external or a priori conditions (principles of geometrization
and self-organization of absolutely closed system) [1],[2],[3],[4]. Spindynamics involves all
phenomena connected with spin and hence provides the new understanding of the artificial
concepts of weak and strong isotopic spin and the Standard Model as a hole. The
geometrical and physical nature of the strong interactions and confinement can be understood
only in the framework of the nontrivial causal structure defining by the temporal
field. The basic equation of temporal field has general solution and singular solution that
in general is defined as geodesic distance [5]. The second solution is the starting point for
understanding of the strong interactions and confinement on the basis of the new causal
structure tightly connected with rotations.
2. Equations of Spindynamics. In Gravidynamics and Spindynamics the properties
of time are defined by temporal field. The temporal field with respect to the
coordinate system q 1 ,q 2 ,q 3 ,q 4 is denoted by f(q) =f(q 1 ,q 2 ,q 3 ,q 4 ). The gradient of the
temporal field (the stream of time) is the vector field t with the components
Equation of the temporal field is
t i ij ∂f
= g
∂qj = gij∂jf = g ij tj.
ij ∂f
Dtf = g
∂qj ∂f
=1. (1)
∂qj This equation means that intrinsic time of physical system flows equably without relation
to anythihg external. We remind some definitions of the vector algebra and vector analysis
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