Quantum Fields a la Sylvester and Witt

A structural explanation of the coupling constants in the standard model, i.e the fine structure constant and the Weinberg angle, and of the gauge fixing contributions is given in terms of symmetries and representation theory. The coupling constants are normalizations of Lorentz invariantly embedded little groups (spin and polarization) arising in a harmonic analysis of quantum vector fields. It is shown that the harmonic analysis of massless fields requires an extension of the familiar Fourier decomposition, containing also indefinite unitary nondecomposable time representations. This is illustrated by the nonprobabilistic contributions in the electromagnetic field.Comment: 18 pages LaTeX file (62 kB), all macros are include

Realizations of Causal Manifolds by Quantum Fields

Quantum mechanical operators and quantum fields are interpreted as realizations of timespace manifolds. Such causal manifolds are parametrized by the classes of the positive unitary operations in all complex operations, i.e. by the homogenous spaces \D(n)=\GL(\C^n_\R)/\U(n) with $n=1$ for mechanics and $n=2$ for relativistic fields. The rank $n$ gives the number of both the discrete and continuous invariants used in the harmonic analysis, i.e. two characteristic masses in the relativistic case. 'Canonical' field theories with the familiar divergencies are inappropriate realizations of the real 4-dimensional causal manifold \D(2). Faithful timespace realizations do not lead to divergencies. In general they are reducible, but nondecomposable - in addition to representations with eigenvectors (states, particle) they incorporate principal vectors without a particle (eigenvector) basis as exemplified by the Coulomb field.Comment: 36 pages, latex, macros include

Management of contaminants in low permeability media

2014 Summer.Includes bibliographical references.To view the abstract, please see the full text of the document

Komplementäre Therapieverfahren in der Onkologie: Homöopathie

Zusammenfassung: Homöopathische Behandlungen werden in deutschsprachigen, aber auch in anderen Ländern von Krebspatienten häufig und z.T. über längere Zeiträume in Anspruch genommen. Prospektive Beobachtungsstudien zur Anwendung bei den verschiedensten Erkrankungen weisen in der Regel auf einen Nutzen der homöopathischen Behandlung hin. Die vorliegenden randomisierten Therapiestudien und deren Ergebnisse werden in den bisher publizierten Übersichtsarbeiten und Metaanalysen kontrovers beurteilt. Zur Anwendung bei Patienten mit einer Tumorerkrankung liegen bis heute nur relativ wenige wissenschaftliche Untersuchungen vor. Sie werden in der vorliegenden Arbeit dargestellt und diskutiert. Einzelne Studien zeigen günstige Effekte auf Nebenwirkungen antitumoraler Therapien sowie auf die Lebensqualität tumorkranker Patienten. Diese Ergebnisse bedürfen aber einer Replikation in methodisch angemessenen und aussagekräftigen Folgestudien. Zur Frage einer möglichen antitumoralen Wirksamkeit sind bisher keine vergleichenden Studien durchgeführt worden. In den derzeit publizierten Studien wurden keine ernsten unerwünschten Wirkungen und keine Interaktionen mit konventionellen antitumoralen Therapien berichte

Hiroshima. At the Intersection of Sciences, History, and Personal Narratives. A Personal Reflection.

In the city of Hiroshima, Japan, sciences, history, and personal narratives meet. Atomic bomb survivors became the keepers of this town’s history and one of the most tragic chapters in the history of humankind; and as their voices fade to old age and death, there is a sense of urgency to keep their narratives alive. These are my personal reflections

Systematic reviews of complementary therapies – an annotated bibliography. Part 2: Herbal medicine

Background Complementary therapies are widespread but controversial. We aim to provide a comprehensive collection and a summary of systematic reviews of clinical trials in three major complementary therapies (acupuncture, herbal medicine, homeopathy). This article is dealing with herbal medicine. Potentially relevant reviews were searched through the register of the Cochrane Complementary Medicine Field, the Cochrane Library, Medline, and bibliographies of articles and books. To be included articles had to review prospective clinical trials of herbal medicines; had to describe review methods explicitly; had to be published; and had to focus on treatment effects. Information on conditions, interventions, methods, results and conclusions was extracted using a pre-tested form and summarized descriptively. Results From a total of 79 potentially relevant reviews pre-selected in the screening process 58 met the inclusion criteria. Thirty of the reports reviewed ginkgo (for dementia, intermittent claudication, tinnitus, and macular degeneration), hypericum (for depression) or garlic preparations (for cardiovascular risk factors and lower limb atherosclerosis). The quality of primary studies was criticized in the majority of the reviews. Most reviews judged the available evidence as promising but definitive conclusions were rarely possible. Conclusions Systematic reviews are available on a broad range of herbal preparations prescribed for defined conditions. There is very little evidence on the effectiveness of herbalism as practised by specialist herbalists who combine herbs and use unconventional diagnosis