This book explores the role of singularities in general relativity (GR): The theory predicts that when a sufficient large mass collapses, no known force is able to stop it until all mass is concentrated at a point. The question arises, whether an acceptable physical theory should have a singularity, not even a coordinate singularity. The appearance of a singularity shows the limitations of the theory. In GR this limitation is the strong gravitational force acting near and at a super-massive concentration of a central mass. First, a historical overview is given, on former attempts to extend GR (which includes Einstein himself), all with distinct motivations. It will be shown that the only possible algebraic extension is to introduce pseudo-complex (pc) coordinates, otherwise for weak gravitational fields non-physical ghost solutions appear. Thus, the need to use pc-variables. We will see, that the theory contains a minimal length, with important consequences. After that, the pc-GR is formulated and compared to the former attempts. A new variational principle is introduced, which requires in the Einstein equations an additional contribution. Alternatively, the standard variational principle can be applied, but one has to introduce a constraint with the same former results. The additional contribution will be associated to vacuum fluctuation, whose dependence on the radial distance can be approximately obtained, using semi-classical Quantum Mechanics. The main point is that pc-GR predicts that mass not only curves the space but also changes the vacuum structure of the space itself. In the following chapters, the minimal length will be set to zero, due to its smallness. Nevertheless, the pc-GR will keep a remnant of the pc-description, namely that the appearance of a term, which we may call "dark energy", is inevitable. The first application will be discussed in chapter 3, namely solutions of central mass distributions. For a non-rotating massive object it is the pc-Schwarzschild solution, for a rotating massive object the pc-Kerr solution and for a charged massive object it will be the Reissner-Nordström solution. This chapter serves to become familiar on how to resolve problems in pc-GR and on how to interpret the results. One of the main consequences is, that we can eliminate the event horizon and thus there will be no black holes. The huge massive objects in the center of nearly any galaxy and the so-called galactic black holes are within pc-GR still there, but with the absence of an event horizon! Chapter 4 gives another application of the theory, namely the Robertson-Walker solution, which we use to model different outcomes of the evolution of the universe. Finally the capability of this theory to predict new phenomena is illustrated.
This is the first volume of textbooks on atomic, molecular and optical physics, aiming at a comprehensive presentation of this highly productive branch of modern physics as an indispensable basis for many areas in physics and chemistry as well as in state of the art bio- and material-sciences. It primarily addresses advanced students (including PhD students), but in a number of selected subject areas the reader is lead up to the frontiers of present research. Thus even the active scientist is addressed. This volume 1 provides the canonical knowledge in atomic physics together with basics of modern spectroscopy. Starting from the fundamentals of quantum physics, the reader is familiarized in well structured chapters step by step with the most important phenomena, models and measuring techniques. The emphasis is always on the experiment and its interpretation, while the necessary theory is introduced from this perspective in a compact and occasionally somewhat heuristic manner, easy to follow even for beginners.
This book offers a concise presentation of theoretical concepts characterizing and quantifying the slowing down of swift heavy ions in matter. Although the penetration of charged particles through matter has been studied for almost a hundred years, the quantitative theory for swift penetrating ions heavier than helium has been developed mainly during the past decade and is still progressing rapidly. The book addresses scientists and engineers working at accelerators with an interest in materials analysis and modification, medical diagnostics and therapy, mass spectrometry and radiation damage, as well as atomic and nuclear physicists. Although not a textbook, this monograph represents a unique source of state-of-the-art information that is useful to a university teacher in any course involving the interaction of charged particles with matter.
These conference papers cover topics such as: InGaN-based laser diodes with an estimated lifetime of longer than 10,000 hours; growth and doping of cubic CaN films for optoelectronic devices; and defects, doping, and interfaces in III-V nitrides.
The intent of this book is to report on the electrical, optical, and structural properties of silver and gold films in dependence on substrate material, annealing treatment, and gas adsorption. A main point is the calculation of the scattering cross section of the conduction electrons. All results are substantiated by extended experimental data, as well as numerous illustrations and tables.
In recent years bacteriocins, especially colicins, have become widely known to molecular biologists as proteins with peculiar ways of killing bacteria. These same bacteriocins have been known for a long time to bacteriology for their unusual activity spectra and enormous variety. In this monograph I have attempted to bring together our detailed knowledge of those few bacteriocins which have already re ceived attention from molecular biologists, and our less detailed hut extensive knowledge of the variety of bacteriocins which exist. The field has been reviewed in whole or in part, by several authors [FREDERICQ, 1957, 1964, 1965 (2); IVANOVICS, 1962; HAMON, 1965; REEVES, 1965 (2)]. These reviews have been very useful to the author, and readers will find further references in them, and sometimes alternative viewpoints. We have already referred to bacteriocins as proteins, and in doing so have ex cluded many more complex antibacterial agents which resemble bacteriophages or their tails. In the author's view, these phage-like particles are probably not bacterio cins, but many authors include them within the definition; the more restrictive de finition used here has meant omitting discussion of some excellent studies on what the present author would term defective bacteriophages. In the first chapter we look at the discovery of bacteriocins and an outline of their classification. With this background we can discuss in Chapters 2 to 6 the chemistry, genetics and mode of action of the more intensively studied bacteriocins.
In this Completely Revised and Extended Edition with a significantly enhanced content, all Chapters have been updated considering relevant literature and recent developments until 2016 together with application oriented examples with a focus on Industrial Biocatalysis. Newly treated topics comprise among others systems metabolic engineering approaches, metagenome screening, new tools for pathway engineering, and de-novo computational design as actual research areas in biocatalysis. Information about different aspects of RNA technologies, and completely new Chapters on 'Fluorescent Proteins' and 'Biocatalysis and Nanotechnology' are also included.
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