The purpose of this paper is to elucidate the concept of an elementary particle in the first-quantized Standard Model. The emphasis is upon the mathematical structures involved, rather than numerical computations. After the general concepts and philosophical outlook are introduced in the opening section, Section 2 addresses the question of what a free elementary particle is, paying particular a...

A central problem in the physics of elementary particles concerns the establishment of their quantum numbers. Recent developments in the theoretical classification of particles states have added impetus to this ac­ tivity as a means of making meaningful confrontation between theoretical proposals and experiment. In this review we confine our attention to the in­ ternal quantum numbers of spin a...

Nanocrystalline cellulose particles are new class of cellulose materials that can find the wide application in various technical areas, biotechnology and medicine. The nanoparticles are usually made by treatment or initial cellulose samples with concentrated sulfuric acid (SA) at various temperatures and following mechanical or ultrasound disintegration. Unfortunately, conditions of existing me...

We consider gravitational scattering of point particles with Planckian centre-of-mass energy and fixed low momentum transfers in the framework of general relativity and dilaton gravity. The geometry around the particles are modelled by arbitrary black hole metrics of general relativity to calculate the scattering amplitudes. However, for dilaton gravity, this modelling can be done only by extre...

We discuss the possibility to observe the products of dark matter annihilation that was going on in the early Universe. Of all the particles that could be generated by this process we consider only photons, as they are both uncharged and easily detectable. The earlier the Universe was, the higher the dark matter concentration n and the annihilation rate (proportional to n) were. However, the em...

The old Weyl's idea of scale recalibration freedom and the Infeld's and van der Waerden's (IW) ideas concerning geometrical interpretation of the natural spinor phase gauge symmetry are discussed in the context of modern models of fundamental particle interactions. It is argued that IW gauge symmetry can be naturaly identified with U (1) symmetry of Weinberg-Salam model. It is also argued that ...

We give an elementary introduction to the theory of supermembranes. DEDICATED TO THE MEMORY OF ABDUS SALAM Based on lectures given at the T. A. S. I. Summer School, University of Colorado, Boulder, June 1996; the Topical Meeting, Imperial College, London, July 1996 and the 26th British Universities Summer School in Theoretical Elementary Particle Physics, University of Swansea, September 1996. ...

The structure of spacetime at the Planck scale may lead to a breakdown of Lorentz invariance at high energies in the form of non-linear dispersion relations for fundamental particles. We show that observations of synchrotron emission from the Crab nebula constrain the energy scale EQG of subluminal Lorentz violation in the electron dispersion relation at order O(E/EQG) to EQG > 4.5×10 27 GeV. T...

In this paper, we describe two different learning tasks for relational structures. When learning a classifier for structures, the relational structures in the training sets are classified as a whole. Contrarily, when learning a context dependent classifier for elementary objects, the elementary objects of the relational structures in the training set are classified. We investigate the question ...