In summer 1923, a year after his lectures on the ‘New Foundation of Mathematics’ and half a year before the republication of his two notes on the ‘Foundations of Physics,’ Hilbert delivered a trilogy of lectures in Hamburg. In these lectures, Hilbert expounds in an unusually explicit manner his epistemological perspective on science as a subdiscipline of an all embracing science of mathematics....

In 1954, Yang and Mills founded the non-Abel gauge field theory [1 ]. Since then, the gauge field theory has developed greatly, and has been widely applied to elementary particle theory. Now, we believe that, four kinds of fundamental interactions in nature are all gauge interactions and can be described by gauge field theories. It is generally believed that the principle of local gauge invaria...

Please cite this article in press as: Templer, D. I. (2012), http://dx.doi.org/10.1016/j.paid.2012.04 J. Philippe Rushton has been described as one of the greatest theorists in the field of personality and individual differences and social psychology. His life history theory (Differential K Theory) was said to bring unification to the scientific study of racial differences as Einstein’s theory ...

The unified theory of near-field–far-field transformations with spiral scannings for quasi-spherical antennas is extended in this paper to the case of nonspherical ones, i.e., antennas with two dimensions very different from the third one. To this end, these antennas are no longer considered as enclosed in a sphere, but in a proper convex domain bounded by a rotational surface. The extension, h...

A historical account of Einstein’s Fernparallelismus approach towards a unified field theory of gravitation and electromagnetism is given. In this theory, a spacetime characterized by a curvature-free connection in conjunction with a metric tensor field, both defined in terms of a dynamical tetrad field, is investigated. The approach was pursued by Einstein in a number of publications that appe...

Einstein’s unified field theory is extended by the addition of matter terms in the form of a symmetric energy tensor and of two conserved currents. From the field equations and from the conservation identities emerges the picture of a gravoelectrodynamics in a dynamically polarizable Riemannian continuum. Through an approximate calculation exploiting this dynamical polarizability it is argued t...