Ritz,Einstein, and the Emission Hypothesis

Just as Albert Einsteins special theory of relativity was gaining acceptance around 1908, the young Swiss physicist Walter Ritz advanced a competing though preliminary emission theory that sought to explain the phenomena of electrodynamics on the assumption that the speed of light depends on the motion of its source. I survey Ritzs unfinished work in this area and review the reasons why Einstein and other physicists rejected Ritzs and other emission theories. Since Ritzs emission theory attracted renewed attention in the 1960s, I discuss how the earlier observational evidence was misconstrued as telling against it more conclusively than actually was the case. Finally, I contrast the role played by evidence against Ritzs theory with other factors that led to the early rejection of his approach.     

‘In’ and ‘out’ vertex operators in a class of UV-finite nonlinear σ-models

In and out scalar vertex operators are constructed perturbatively in a class of recently discovered UV finite nonlinear -models describing the string evolution in gravitational plane wave backgrounds. They exhibit peculiar singularities in the target space related to the focusing phenomena in such backgrounds well known from the classical and quantum gravity theories. The computation is performed up to three loops of the usual perturbation expansion and to all loops of the weak field limit. An argument is given that the vertex operator singularities should persist, even when summing up the all perturbation expansions.     

Fizeau’s Research Program on Ether Drag: A Long Quest for a Publishable Experiment

Hippolyte Fizeaus research program on ether drag consisted of a sequence of optical experiments and theoretical considerations aimed at clarifying the interaction between the ether and moving matter to reveal the motion of the Earth through the ether. In addition to Fizeaus published papers, my reconstruction of his research program is based on his unpublished drafts, sketches, and experimental data.These reveal an increasingly complex interplay between his experimental setups,unexpected results, and theoretical convictions. I argue that publishing is an integral part of experimental research rather than a secondary activity undertaken after the true laboratory research has been completed. Accordingly, Fizeaus research program can best be understood as a long quest for a publishable experiment. I show that to Fizeau, to be publishable meant achieving an expected positive experimental result.This publication strategy deeply influenced the design of his experiments as well as what he and his audience regarded as successful experimental research.Jan Frercks received his Ph.D. degree in the history of physics at the Carl von Ossietzky University of Oldenburg, Germany, in 2001. He currently is a postdoctoral researcher in the Institute for History of Medicine, Science, and Technology at the Friedrich Schiller University of Jena, Germany.     

Gravity as Archimedes’ Thrust and a Bifurcation in that Theory

Eulers interpretation of Newtons gravity (NG) as Archimedes thrust in a fluid ether is presented in some detail. Then a semi-heuristic mechanism for gravity, close to Eulers, is recalled and compared with the latter. None of these two gravitational ethers can obey classical mechanics. This is logical since the ether defines the very reference frame, in which mechanics is defined. This concept is used to build a scalar theory of gravity: NG corresponds to an incompressible ether, a compressible ether leads to gravitational waves. In the Lorentz–Poincaré version, special relativity is compatible with the ether, but, with the heterogeneous ether of gravity, it applies only locally. A correspondence between metrical effects of uniform motion and gravitation is assumed, yet in two possible versions (one is new). Dynamics is based on a (non-trivial) extension of Newtons second law. The observational status for the theory with the older version of the correspondence is summarized.     

A finite size analysis of the structure factor in the antiferromagnetic Heisenberg (AFH) model

From a finite size analysis we extract the structure factorS(p, N=) of the one dimensional AFH-model in the groundstate: The gross structure is well described byL (p) = –ln(1– ^p ). The fine structure which only contributes a few percent reveals a pronounced non-linear behavior inL(p) with a maximum atp=0.20 and a minimum atp=0.82.     

Analysis of signal-to-noise ratio of the laser Doppler velocimeter

The signal-to-shot-noise ratio of the photocurrent of a laser Doppler anemometer is calculated as a function of the parameters which describe the system. It is found that the S/N is generally a growing function of receiver area, that few large particles are better than many small ones, and that generally the fringe or differential mode configuration is equal to, or better than, the reference beam mode.     

Euclidean Green functions for quantum Fainberg-Iofa fields

We give necessary and sufficient conditions for Euclidean Green functions to have analytic continuation to a relativistic field theory with exponential growth in momentum space (= the Fainberg-Iofa fields or the fields with fundamental length).     

The many faces of a character

We prove an identity between three infinite families of polynomials which are defined in terms of bosonic, fermionic, and one-dimensional configuration sums. In the limit where the polynomials become infinite series, they give different-looking expressions for the characters of the two integrable representations of the affine su(2) algebra at level one. We conjecture yet another fermionic sum representation for the polynomials which is constructed directly from the Bethe-ansatz solution of the Heisenberg spin chain.     

Effective stimulated emission and excited-state absorption cross-section spectra of para-phenylene-ethynylene polymers

The effective stimulated emission cross-section spectra, em,eff(), the stimulated emission cross-section spectra, em(), and the excited-state absorption cross-section spectra, ex()=em()–em,eff(), of the conjugated polymers poly(2,5-dioctadecyloxy-paraphenylene-ethynylene-co-2,5-thienyl) (OPT) and poly(2,5-dioctadecyloxy-paraphenylene-ethynylene-co-2,5-pyridinyl) (OPP) in tetrahydrofuran are determined in the fluorescence region. em,eff() determined by a fluorescence amplification technique is found to be small compared to em() indicating that ex() is nearly as large as em(). The laser excitation to the wide inhomogeneously broadened S1-absorption band leads to the formation of spectrally structured inhomogeneously broadened lattice relaxed exciton conformations extending on average over two monomer units which are thought to be responsible for upper-to-lower-state stimulated emission and lower-to-upper-state (excited-state) absorption.     

State automorphisms in axiomatic quantum mechanics

A new metric which we call the intrinsic metric is introduced on the states of the generalized logic of quantum mechanics. It is shown that every automorphism on is an isometry. A norm can be defined on the linear spanE of which reduces to the intrinsic metric on. IfX is the completion ofE then every automorphism, on has a unique extension to a linear isometry onX. A comparison is made between these results and those of Kroniff.     

On the relation between a conformal structure in spacetime and nets of local algebras of observables

In this Letter, we study the question of how to reconstruct the conformal structure (causality relation) of spacetime from a net of local algebras of observables on the underlying manifold.Partly supported by DFG, SFB 288 Differentialgeometrie und Quantenphysik.     

Robert Hooke’s Seminal Contribution to Orbital Dynamics

During the second half of the seventeenth century, the outstanding problem in astronomy was to understand the physical basis for Keplers laws describing the observed orbital motion of a planet around the Sun. In the middle 1660s,Robert Hooke (1635–1703) proposed that a planets motion is determined by compounding its tangential velocity with the change in radial velocity impressed by the gravitational attraction of the Sun, and he described his physical concept to Isaac Newton (1642–1726) in correspondence in 1679. Newton denied having heard of Hookes novel concept of orbital motion, but shortly after their correspondence he implemented it by a geometric construction from which he deduced the physical origin of Keplers area law,which later became Proposition I, Book I, of his Principia in 1687.Three years earlier, Newton had deposited a preliminary draft of it, his De Motu Corporum in Gyrum (On the Motion of Bodies), at the Royal Society of London, which Hooke apparently was able to examine a few months later, because shortly there-after he applied Newtons construction in a novel way to obtain the path of a body under the action of an attractive central force that varies linearly with the distance from its center of motion (Hookes law). I show that Hookes construction corresponds to Newtons for his proof of Keplers area law in his De Motu. Hookes understanding of planetary motion was based on his observations with mechanical analogs. I repeated two of his experiments and demonstrated the accuracy of his observations.My results thus cast new light on the significance of Hookes contributions to the development of orbital dynamics, which in the past have either been neglected or misunderstood.Michael Nauenberg is Professor Emeritus of Physics at the University of California, Santa Cruz. His primary research has been in theoretical physics, but he also has written several articles and coedited a book on the historical development of dynamics by Huygens, Newton, and Hooke.     

Eigenresonance states in the Kronig-Penney model

We investigate a sandwich of three layer systems with Dirac -functions in the Kronig-Penney model. The inner system ofN=5 atomic layers is enclosed by the two outer systems with different potential strength. The numberM of the atomic layers in the outer system is varied betweenM=9 and infinity, whereas the numberN of the inner layers is held fixed. We obtain the transmission coefficient for the finite system in the region of scattering energies (E>0). An alternating set of transmission gaps, transmission bands and bands of eigenresonance states is obtained. The normalizable eigenresonances occur (forM going to infinity), if a transmission band of the inner system overlaps a transmission gap of the outer systems. The reason for obtaining solutions of standing waves in the band of eigenresonances is the rapid change of the wave phase of a traveling wave, which occurs in a transmission band of the inner system.     

Rational forms for twistings of enveloping algebras of simple Lie algebras

We give rational forms for twistings of classical enveloping algebras. We also remark a link with the generalized formalism of Gurevich, Manin, and Cartier.     

In search of dark horses: Affinity maturation of phage-displayed ligands

Summary Most combinatorial libraries are sparse in that only a tiny fraction of the relevant class of compounds is represented. This sparseness can be compensated in some measure by alternating rounds of selection with rounds of mutagenesis. Thus, clones are selected from the initial library by some criterion of fitness, such as affinity for a particular receptor. The selected clones are then mutagenized to generate a mutant library, which serves as input to the next round of selection, and so on. If the first round of selection is too stringent, rejecting all but the very fittest clone in the initial library (the initial champion), we might miss dark horses; clones in the initial library that are inferior to the initial champion, yet can be mutated to even higher fitness than can that champion. A more thoughtful strategy is to alternate nonstringent selection with simultaneous mutagenesis of many selected clones en masse.     

Integrable hierarchy underlying topological Landau-Ginzburg models of D-type

A universal integrable hierarchy underlying topological Landau-Ginzburg models of D-type is presented. Like the dispersionless Toda hierarchy, the new hierarchy has two distinct (positive and negative) sets of flows. Special solutions corresponding to topological Landau-Ginzburg models of D-type are characterized by a Riemann-Hilbert problem, which can be converted into a generalized hodograph transformation. This construction gives an embedding of the finite-dimensional small phase space of these models into the full space of flows of this hierarchy. One of flat coordinates in the small phase space turns out to be identical to the first negative time variable of the hierarchy, whereas the others belong to the positive flows.     

Two axisymmetric black holes cannot be in static equilibrium

No static equilibrium configuration of two black holes can exist in an axisymmetric asymptotically flat vacuum space-time.Work partly supported by the Deutsche Forschungsgemeinschaft.For a definition of axisymmetry see Carter (1972).     

Non-perturbative renormalization group functions in (2+1)-dimensional supersymmetric gauge theories

Three-dimensional supersymmetric Higgs models with an additional U(N) flavor symmetry are considered within the 1/N expansion. Explicit expressions for the renormalization group functions are obtained in the large N limit which exhibit logarithmic dependence on the gauge coupling constants.     

УпРУгОЕ РАссЕьНИЕ НУклОНОВ НА МИшЕНИ сО спИНОМ 1

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Elastic scattering of nucleons on a target with spin 1

A method, by means of which it is possible to reconstruct a potential on the basis of data on elastic scattering, is investigated for the case of scattering of nucleons on targets with spin 1. Formulas are given which express the relations between a phenomenological potential and the elements of the scattering matrix.