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Search Results: 1 - 10 of 2959 matches for " Gerhard Mack "
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Pushing Einstein's Principles to the Extreme
Gerhard Mack
Physics , 1997,
Abstract: In these lectures I propose to push Einstein's principle of coordinate independence to the extreme in order to restrict the possible form of fundamental equations of motion in physics. I start from nearly tautological system theoretic axioms. They provide a minimal amount of a priori structure which is thought to be characteristic of human thinking in general. It is shown how formal discretizations of Maxwell and Yang Mills theory in flat space and of general relativity in Ashtekar variables fit into this frame work.
Universal Dynamics, a Unified Theory of Complex Systems. Emergence, Life and Death
Gerhard Mack
Mathematics , 2000, DOI: 10.1007/s002200100397
Abstract: A universal framework is proposed, where all laws are regularities of relations between things or agents. Parts of the world at one or all times are modeled as networks called SYSTEMS with a minimum of axiomatic properties. A notion of locality is introduced by declaring some relations direct (or links). Dynamics is composed of "atomic" constituents called mechanisms. They are conditional actions of basic local structural transformations (``enzymes''): indirect relations become direct (friend of friend becomes friend), links are removed, objects copied. This defines a kind of universal chemistry. I show how to model basic life processes in a self contained fashion as a kind of enzymatic computation. The framework also accommodates the gauge theories of fundamental physics. Emergence creates new functionality by cooperation - nonlocal phenomena arise out of local interactions. I explain how this can be understood in a reductionist way by multiscale analysis (e.g. renormalization group).
Life in Silico - Simulation of Complex Systems by Enzymatic Computation
Gerhard Mack,Jan Wuerthner
Physics , 2000,
Abstract: We describe software and a language for quasibiological computations. Its theoretical basis is a unified theory of complex (adaptive) systems where all laws are regularities of relations between things or agents, and dynamics is made from ``atomic constituents'' called enzymes.The notion is abstracted from biochemistry. The software can be used to simulate physical systems as well as basic life processes. Systems can be constructed and manipulated by mouse click and there is an automatic translation of all operations into a LISP-like scripting language, so that one may compose code by mouse click.
Gauge Theories with Nonunitary Parallel Transporters: A soluble Higgs model
Claudia Lehmann,Gerhard Mack
Physics , 2003, DOI: 10.1140/epjc/s2004-02036-7
Abstract: It has been proposed to abandon the requirement that parallel transporters in gauge theories are unitary (or pseudoorthogonal). This leads to a geometric interpretation of Vierbein fields as parts of gauge fields, and nonunitary parallel transport in extra directions yields Higgs fields. In such theories, the holonomy group H is larger than the gauge group G. Here we study a 1-dimensional model with fermions which retains only the extra dimension, and which is soluble in the sense that its renormalization group flow may be exactly computed, with G=SU(2) and noncompact subgroup H of GL(2,C), or G=U(2), H=GL(2,C). In all cases the asymptotic behavior of the Higgs potential is computed, and with one possible exception for G=SU(2), H=GL(2,C), there is a flow of the action from an UV-fix point which describes a SU(2)-gauge theory with unitary parallel transporters, to a IR-fixpoint. We explain how a splitting of the masses of fermions of different flavor can arise through spontaneous symmetry breaking.
Simple Space-Time Symmetries: Generalizing Conformal Field Theory
Gerhard Mack,Mathias de Riese
Mathematics , 2004,
Abstract: We study simple space-time symmetry groups G which act on a space-time manifold M=G/H which admits a G-invariant global causal structure. We classify pairs (G,M) which share the following additional properties of conformal field theory: 1) The stability subgroup H of a point in M is the identity component of a parabolic subgroup of G, implying factorization H=MAN, where M generalizes Lorentz transformations, A dilatations, and N special conformal transformations. 2) special conformal transformations in N act trivially on tangent vectors to the space-time manifold M. The allowed simple Lie groups G are the universal coverings of SU(m,m), SO(2,D), Sp(l,R), SO*(4n) and E_7(-25) and H are particular maximal parabolic subgroups. They coincide with the groups of fractional linear transformations of Euklidean Jordan algebras whose use as generalizations of Minkowski space time was advocated by Gunaydin. All these groups G admit positive energy representations. It will also be shown that the classical conformal groups SO(2,D) are the only allowed groups which possess a time reflection automorphism; in all other cases space-time has an intrinsic chiral structure.
Chirping a two-photon transition in a multi-state ladder
Wolfgang Merkel,Holger Mack,Wolfgang P. Schleich,Eric Lutz,Gerhard G. Paulus,Bertrand Girard
Physics , 2007, DOI: 10.1103/PhysRevA.76.023417
Abstract: We consider a two-photon transition in a specific ladder system driven by a chirped laser pulse. In the weak field limit, we find that the excited state probability amplitude arises due to interference of multiple quantum paths which are weighted by quadratic phase factors. The excited state population has the form of a Gauss sum which plays a prominent role in number theory.
Structural Analysis of Factors Influencing the Adjustment Behaviors of Korean Children in the U.S  [PDF]
Sunjin Oh, Mack C. Shelley
Psychology (PSYCH) , 2010, DOI: 10.4236/psych.2010.15048
Abstract: The purpose of this study was to identify factors influencing the adjustment of Korean children who live in the U.S. Specifically, this study examined the following predictor variables: English proficiency, peer relationships, family relationships, and school experiences. Forty seven Korean children who were attending the Korean Language School and their parents participated in this study. Pearson product moment correlations indicated that there was a statistically significant relationship between the adjustment of Korean children who live in the U.S. and their English proficiency, peer relationships, and school experiences. There was no statistically significant relationship between the adjustment of Korean children who live in the U.S. and their family relationships. Additionally, structural equation modeling (SEM) was examined to explore how English proficiency, family relationships, peer relationships, and school experiences may serve as influential factors for adjustment of Korean children who live in the U.S. The resulting model had a good fit, χ2 = 2.02, χ2/df = 1.01, comparative fit index (CFI) = 1.00, root mean square error of approximation (RMSEA) = 0.02, which is small enough to indicate a good fit, and indicated that Korean children’s school experiences had the strongest relationship with their overall adjustment score (β = .73, p < .001). However, the effects of English proficiency and family relationships on adjustment were mediated through school experiences, although it is important to note that English proficiency did not have a positive relationship with school experience (β = -.38, p = .340), but Korean children’s school experiences were positively associated with their English proficiency (β = .68, p < .05).
Translational research in acupuncture—teleacupuncture bridges science and practice  [PDF]
Gerhard Litscher
Health (Health) , 2010, DOI: 10.4236/health.2010.21003
Abstract: In March 2009, the first teleacupuncture between China and Austria was performed. This publica-tion summarizes the first important results. 24- hour electrocardiograms were registered in Bei-jing and analyzed in Graz. A heart rate variability monitor partly developed in Austria was used for recording. Data were transferred via internet over a distance of 7,650 km. For the spectral analysis of heart rate variability a new method, the so-called ‘Fire of Life’ illustration, was ap-plied. The state of health of a 31-year-old patient before, during and after acupuncture treatment sessions was documented. Despite several limi- tations, transcontinental teleacupuncture opens up new possibilities in public health.
Oscillating Universe  [PDF]
Gerhard Lessner
Journal of Modern Physics (JMP) , 2011, DOI: 10.4236/jmp.2011.210135
Abstract: It is pointed out that the inflationary flat Λ-CDM-model coming out from a big bang seems to be inconsistent. An alternative model based on previous work by the author is outlined. It starts with a geometrical phase transition in Minkowski space where the source of the gravitational field is a Higgs-like scalar field φ. After the phase transition space-time is a contracting anti-deSitter space. Matter and radiation are created over a very long period of about 30 billion years from the gravitational energy. About 44 billion years after the phase transition the universe runs through a nonsingular minimum.
Foucault’s Concept of Heterotopia as an èpistemé for Reading the Post-Modern City: The Viennese Example  [PDF]
Gerhard Hatz
Current Urban Studies (CUS) , 2018, DOI: 10.4236/cus.2018.64025
Abstract:
“The postmodern city is a myth, a tale, a telling, a poignant narrative that builds on the past to continually new horizons… The postmodern city is not only an epitomizing model of contemporary social and economic development, but also a metaphysical reality, a place where the real and the imagined are persistently commingled in ways we have only begun to understand…” (Chambers, 1990; Soja 2000). Normative notions on the city have to be dissected as an intersection of the near and the far order of urban societies (Lefebvre, 1996) and as fluid conceptualizations in a heterochronical context. However, cities similarly have to be read as “thirdspaces” (Soja, 1996)—contestations of mythical and real urban spaces and places, continuously re-interpreted and endowing urban spaces and places with even transient meanings. The paper seeks to grasp Foucault’s notions on heterotopia as a theoretical framework and èpistemé for approaching these “thirdspaces”—in-between the social relations and their inscriptions into the material reality of cities.
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