Narrow Results

We develop a self-consistent Spin(4, 4)-invariant model of the unification of gravity with weak SU(2) gauge and Higgs fields in the visible and invisible sectors of our universe. We consider a general case of the graviweak unification, including the higher-derivative super-renormalizable theory of gravity, which is a unitary, asymptotically-free and perturbatively consistent theory of the quantum gravity.

In this paper, we consider the theory of infinitely extended particles as the quantum theory of gravity, which unifies all fundamental interactions. We write the space–time metric, which is Schwarzschild-like black hole. We calculate Hamiltonian and Lagrangian, and from these, we obtain the potential energy and study the polymer quantization. We construct effective potential and discuss the gravitational wave of this theory. Also, we study the geodesic motion of a particle near the black hole. Finally, we analyze the apparent shape, radius and distortion of the shadow of the black hole.

Starting from an electron-phonon interacting model, by means of the third formalism of quantum statistics, and with the aid of a diagonalization theorem, the Tc of superconductors from weak coupling to strong coupling cases are studied in a unified way. Our results are comparable with those of McMillan's theory, (which is valid up to the electron-phonon (e-ph) coupling parameter λ~1, a good agreement is shown for λ<1.3) and the Allen and Dynes's theory. Especially our results are very close to those of Hg spectrum with λ~2.0 and some strong coupling compounds. The theory is exact in the thermodynamic limit, without introducing variation method, the compensation of the dangerous diagrams in finite order in perturbation theory, abnormal green's function etc.

With advances in imaging and computing technology the greater capacity to diagnose, plan and deliver care to patients with hand and wrist disorder is being realised. Work in our laboratory, has been able to identify certain specific rules that control wrist motion, and is a step on the pathway to creating a unified theory of carpal mechanics which will incorporate a kinetic biomechanical model. This will allow more precise anatomically based as well as quantitative diagnoses, but also an ability to test a proposed intervention in a “what if” scenario.

Leopold Ernst Halpern, who was a close associate of both Erwin Schrödinger and Paul Dirac before making his own mark as a theoretical physicist of the first rank, died in Tallahassee, Florida on 3 June 2006 after a valiant struggle with cancer. We give an outline of his life and work, including his progress towards a unified gauge theory of gravitation and spin.

Physical and methematical implications of nonlinear-supersymmetric general relativity theory(NLSUSYGR) are presented. They offer a new paradigm for the supersymmetric unification of space-time(Einstein general relativity theory(EGR)) and matter(the SM of particle physics), which gives new insight into the unsolved problems in EGR and SM.

We explore the concepts of the manner in which Maxwell’s equations and electrodynamic phenomena occupy a role in current standard model (SM) and grand unification theories (GUT). We process from the foundations of Hamilton-Jacobi (HJ) paired variable mechanics which underlies the quantum formalism in terms of phase space as (x, p) and (E, t) and also we have demonstrated that both the Poisson equation, the HJ theory are basic to the structure of general relativity. In this paper, we examine a unique approach to electromagnetism in terms of a paired variable or conically conjugate formalism. We have expanded this paired variable formalism to a model of the unification of the four force fields in a multidimensional geometry. This geometry is called the Descartes geometry in which we have formulated a group theoretical model. The electromagnetic paired variable formalism occupies a subset of our larger set of group theoretical operations in our attempt to formulate quantum gravity. Comparison is made between our group theoretical approach and the field theoretical quantum relativistic approach of quantum electrodynamics (QED). The drive for completing Einstein’s vision of a unified field theory is basic to our approaches.

I trace the historical and scientific origin of Continuum Theory, from its observationally enforced beginning in 1959, in never-to-be-repeated military circumstances, and follow this by a discussion of some of its more recent developments. The presence of this and of several other CT-related contributions to this symposium volume on Unified Field Mechanics can be justified by a view that CT, as currently developing, could, in a very real sense, be given an alternative name ‘Unified Aether Mechanics’. The substitution of ‘field’ by ‘aether’ reflects Newton's 1692 thesis that ‘fields’ cannot exist per se, a view that persisted for over 200 years; they must have an agent or medium within which they exist and are communicated between objects. Hence the term ‘aether mechanics’ would be appropriate. A principal aim in ‘unification’, moreover, has always been the unification of gravitation into the family of forces. Einstein's response was the meanderings of space-time. CT achieves its unification into the electromagnetic family by its implementation of the Maxwell's equations aether, with insightful results, apparently regardless of scale. Particletied in nature, the existence of such an aether is was effectively demonstrated experimentally by the Michelson-Morley finding of 1887.