A Theory of Physical Vacuum. A New Paradigm, Part II

Part II: GEOMETRY OF ABSOLUTE PARALLELISM

5 Geometry of absolute parallelism in vector basis
5.1  Object of anholonomicity. Connection of absolute parallelism
5.2  Covariant di erentiation in A4 geometry. Ricci rotation coeficients
5.3  Curvature tensor of A4 space
5.4  Formalism of external forms and the matrix treatment of Cartan's structural equations of the absolute parallelism geometry
5.5  A4 geometry as a group manifold. Killing-Cartan metric
5.6  Structural equations of A4 geometry in the form of expanded, completely geometrized Einstein-Yang-Mills set of equations
5.7  Equations of geodesics of A4 spaces
5.8  Structural equations of right and left A4 geometry

6 The geometry of absolute parallelism in spinor basis
6.1 Three main spinor bases of A4 geometry
6.2 Spinor representation of the structural Cartan equations of A4 geometry
6.3 Splitting of structural Cartan equations into irreducible representations of the group SL(2,C)
6.4 Carmeli matrices
6.5 Component-by-component rendering of structural equations of A4 geometry
6.6 Connection of structural Cartan equations of A4 geometry with the NP formalism
6.7 Variational principle of derivation of the structural Cartan equations and the second Bianchi identities of A4 geometry
6.8 Decomposition of spinor elds of A4 geometry into irreducible parts
6.9 Spinor set of Einstein-Yang-Mills equations
6.10 Formalism of two-component spinors

7 Construction of solutions to structural Cartan equations of the geometry of absolute parallelism
7.1 Selection of a frame of reference and specialization of Newman-Penrose symbols
7.2 Specialization of the spinor components of the Ricci rotation coeficients
7.3 Specialization of the spinor components of the Riemann tensor
7.4 Construction of the asymptotic behavior of insular-type geometries
7.4.1 Radial equations containing derivatives with respect to r
7.4.2 Nonradial equations
7.4.3 U-derivative equations
7.5 Classification of solutions to the structural Cartan equations of the A4 geometry by isometry groups
7.6 A4 geometry with a Schwarzschild-type metric
7.7 Some physically meaningful solutions of the structural Cartan equations of A4 geometry
7.7.1 Solution with a variable source function
7.7.2 Solution with quark interaction
7.7.3 Solution with a short-range (nuclear) interaction
7.7.4 Solution with an electronuclear interaction
7.7.5 Solution with electronuclearquark interaction
7.7.6 Solution with Coulomb-Newton interaction and three-dimensional rotation of a source
7.7.7 Purely torsional solution
7.7.8 Solution with a variable Coulomb-Newton interaction and three-dimensional rotation of a source
7.7.9 Solution with electronuclear interaction and three-dimensional rotation of a source