Abstract:
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.

Abstract:
To reconcile the observed unusual high luminosity of NuSTAR X-ray pulsations from M82X-2 with the most extreme violation of the Eddington limit, and in view that the persistent X-ray radiation from M82X-2 almost precludes the possibility of common pulsars, we tackle the problem by the implications of {\em microscopic theory of black hole} (MTBH). The preceding developments of MTBH are proved to be quite fruitful for the physics of ultra-high energy (UHE) cosmic-rays. Namely, replacing a central singularity by the infrastructures inside event horizon, subject to certain rules, MTBH explains the origin of ZeV-neutrinos which are of vital interest for the source of UHE-particles. The M82X-2 is assumed to be a spinning intermediate mass black hole resided in final stage of growth. As a corollary, the thermal blackbody X-ray emission arisen due to the rotational kinetic energy of black hole escapes from event horizon through the vista to outside world that detected as ultraluminous X-ray pulsations. The M82X-2 indeed releases $\sim 99.6\%$ of its pulsed radiative energy predominantly in the X-ray bandpass $0.3-30$ keV. We derive a pulse profile and give a quantitative account of energetics and orbital parameters of the semi-detached X-ray binary containing a primary accretor M82X-2 of inferred mass $M\simeq 138.5-226\,M_{\odot}$ and secondary massive, $M_{2}> 48.3- 64.9\,M_{\odot}$, O/B-type donor star with radius of $R> 22.1- 25.7\,R_{\odot}$, respectively. We compute the torque added to M82X-2 per unit mass of accreted matter which yields the measured spin-up rate.

Abstract:
While the OPERA experimental scrutiny is ongoing in the community, in the present article we construct a toy model of {\it extended Lorentz code} (ELC) of the uniform motion, which will be a well established consistent and unique theoretical framework to explain the apparent violations of the standard Lorentz code (SLC), the possible manifestations of which arise in a similar way in all particle sectors. We argue that in the ELC-framework the propagation of the superluminal particle, which implies the modified dispersion relation, could be consistent with causality. Furthermore, in this framework, we give a justification of forbiddance of Vavilov-Cherenkov (VC)-radiation/or analog processes in vacuum. To be consistent with the SN1987A and OPERA data, we identify the neutrinos from SN1987A and the light as so-called {\it 1-th type} particles carrying the {\it individual Lorentz motion code} with the velocity of light $c_{1}\equiv c$ in vacuum as maximum attainable velocity for all the 1-th type particles. Thereby, we treat superluminal muon neutrinos as so-called {\it 2-nd type} particles carrying the individual Lorentz motion code with the velocity $c_{2}$ as maximum attainable velocity for all the 2-nd type particles. For the muon neutrinos mean energy $E_{\nu 2}=17.5$ GeV, claimed velocity $(v_{\nu 2}-c)/c= 2.48\times 10^{-5}$, and expected finite rest mass $m_{0}\approx 1eV/c^{2}$, we obtain then $ c_{2}/c\approx 17.5\times 10^{9}$.

Abstract:
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 the

Abstract:
Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of local internal symmetries is generalized. The gravitation gauge group is proposed, which is generated by hidden local internal symmetries. The developed mechanism enables one to infer Einstein's equation of gravitation, but only with strong difference from Einstein's theory at the vital point of well-defined energy-momentum tensor of gravitational field and conservation laws. The gravitational interaction as well as general distortion of manifold G(2.2.3) with hidden group U(1) was considered.

Abstract:
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.

Abstract:
Within the operator manifold approach (part I, hep-th/9812181) we derive the Gell-Mann-Nishijima relation and flavour group, whereas the leptons are particles with integer electric and leptonic charges and free of confinement, while quarks carry fractional electric and baryonic charges and imply the confinement. We consider the unified electroweak interactions with small number of free parameters, exploit the background of the local expanded symmetry $SU(2)\otimes U(1)$ and P-violation. The Weinberg mixing angle is shown to have fixed value at $30^{o}$. The Higgs bosons arise on an analogy of the Cooper pairs in superconductivity. Within the present microscopic approach we predict the Kobayashi-Maskawa quark flavour mixing; the appearance of the CP-violation phase; derive the mass-spectrum of leptons and quarks, as well as other emerging particles, and also some useful relations between their masses.

Abstract:
The suggested operator manifold formalism enables to develop an approach to the unification of the geometry and the field theory. We also elaborate the formalism of operator multimanifold yielding the multiworld geometry involving the spacetime continuum and internal worlds, where the subquarks are defined implying the Confinement and Gauge principles. This formalism in Part II (hep-th/9812182) is used to develop further the microscopic approach to some key problems of particle physics.

Abstract:
The operator manifold formalism (part I) enables the unification of the geometry and the field theory, and yields the quantization of geometry. This is the mathematical framework for our physical outlook that the geometry and fields, with the internal symmetries and all interactions, as well the four major principles of relativity (special and general), quantum, gauge and colour confinement, are derivative, and come into being simultaneously in the stable system of the underlying ``primordial structures''. In part II we attempt to develop, further, the microscopic approach to the Standard Model of particle physics, which enables an insight to the key problems of particle phenomenology. We suggest the microscopic theory of the unified electroweak interactions. The Higgs bosons have arisen on an analogy of the Cooper pairs in superconductivity. Besides of microscopic interpretation of all physical parameters the resulting theory also makes plausible following testable implications for the current experiments: 1. The Higgs bosons never could emerge in spacetime continuum, thus, they cannot be discovered in these experiments nor at any energy range. 2. For each of the three SM families of quarks and leptons there are corresponding heavy family partners with the same quantum numbers lying far above the electroweak scale, respectively, at the energy threshold values: $E_{1}>(419.6 \pm 12.0)GeV, \quad E_{2}= (457.6 \pm 13.2)GeV$ and $E_{3}=(521.4 \pm 15.0)GeV.$

Abstract:
We promote the microscopic theory of standard model (MSM, hep-ph/0007077) into supersymmetric framework in order to solve its technical aspects of vacuum zero point energy and hierarchy problems, and attempt, further, to develop its realistic viable minimal SUSY extension. Among other things that - the MSM provides a natural unification of geometry and the field theory, has clarified the physical conditions in which the geometry and particles come into being, in microscopic sense enables an insight to key problems of particle phenomenology and answers to some of its nagging questions - a present approach also leads to quite a new realization of the SUSY yielding a physically realistic particle spectrum. It stems from the special subquark algebra, from which the nilpotent supercharge operators are derived. The resulting theory makes plausible following testable implications for the current experiments at LEP2, at the Tevatron and at LHC drastically different from those of the conventional MSSM models: 1. All the sparticles and Higgs bosons never could emerge in spacetime continuum, thus, they cannot be discovered in these experiments nor at any energy range. 2. For each of the three SM families of quarks and leptons there are corresponding heavy family partners with the same quantum numbers lying far above the electroweak scale, respectively, at the energy threshold values: $E_{1}>(419.6 \pm 12.0)GeV, \quad E_{2}= (457.6 \pm 13.2)GeV$ and $E_{3}=(521.4 \pm 15.0)GeV.$