Gravitation in the fractal D=2 inertial universe: New phenomenology in spiral discs and a theoretical basis for MOND

An interpretation of Mach's Principle led us to consider if it was possible to have a globally inertial universe that was irreducibly associated with a non-trivial global matter distribution, Roscoe (GRG,2002,34,5,577-602, astro-ph/0107397). This question received a positive answer, subject to the condition that the global matter distribution is necessarily fractal, D=2. The purpose of the present paper is to show how general gravitational processes arise in this universe. We illustrate the theory by using it to model an idealized spiral galaxy. One particular subclass of solutions, corresponding to logarithmic spirals, has already been extensively tested in Roscoe A&A,1999,343,788-800 (astro-ph/0107305), and shown to resolve dynamical data over large samples of ORCs with a very high degree of statistical precision. However, this latter analysis led directly to the discovery of a major new phenomenology in spiral discs - that of discrete dynamical classes - comprehensively confirmed in Roscoe A&A,2002,385,431-453 (astro-ph/0107300) over four large independent samples of ORCs. In this paper, we analyse the theory to show how the discrete dynamical classes phenomenology has a ready explanation in terms of an algebraic consistency condition which must necessarily be satisfied. Of equal significance, we apply the theory with complete success to the detailed modelling of a sample of eight Low Surface Brightness spirals (LSBs) which, hitherto, have been succesfully modelled only by Milgrom's MOND algorithm. We are able to conclude that the essence of the MOND algorithm must be contained within the presented theory.Comment: 35 pages, 13 figures. Accepted for publication in GRG (General Relativity and Gravitation

Periodicities of Quasar Redshifts in Large Area Surveys

We test the periodicity of quasar redshifts in the 2dF and SDSS surveys. In the overall surveys redshift peaks are already apparent in the brighter quasars. But by analyzing sample areas in detail it is shown that the redshifts fit very closely the long standing Karlssson formula and strongly suggest the existence of preferred values in the distribution of quasar redshifts. We introduce a powerful new test for groups of quasars of differing redshifts which not only demonstrates the periodicity of the redshifts, but also their physical association with a parent galaxy. Further such analyses of the large area surveys should produce more information on the properties of the periodicity.Comment: 23 pages, 14 figure

Impacts of harmonic distortion from charging electric vehicles on low voltage networks

Paper focusing on the impacts of harmonic distortion from charging electric vehicles on low voltage networks

Molecular and classical cytogenetic analyses demonstrate an apomorphic reciprocal chromosomal translocation in Gorilla gorilla

The existence of an apomorphic reciprocal chromosomal translocation in the gorilla lineage has been asserted or denied by various cytogeneticists. We employed a new molecular cytogenetic strategy (chromosomal in situ suppression hybridization) combined with high-resolution banding, replication sequence analysis, and fluorochrome staining to demonstrate that a reciprocal translocation between ancestral chromosomes homologous to human chromosome 5 and 17 has indeed occurred

Preserving Liveness Guarantees from Synchronous Communication to Asynchronous Unstructured Low-Level Languages

In the implementation of abstract synchronous communication in asynchronous unstructured low-level languages, e.g. using shared variables, the preservation of safety and especially liveness properties is a hitherto open problem due to inherently different abstraction levels. Our approach to overcome this problem is threefold: First, we present our notion of handshake refinement with which we formally prove the correctness of the implementation relation of a handshake protocol. Second, we verify the soundness of our handshake refinement, i.e., all safety and liveness properties are preserved to the lower level. Third, we apply our handshake refinement to show the correctness of all implementations that realize the abstract synchronous communication with the handshake protocol. To this end, we employ an exemplary language with asynchronous shared variable communication. Our approach is scalable and closes the verification gap between different abstraction levels of communication