2d quantum dilaton gravity as/versus finite dimensional quantum mechanical systems

I present the ``Chern--Simons'' formulation of generalized 2d dilaton gravity, summarize its Hamiltonian quantization (reduced phase space and Dirac quantization) and briefly discuss the statistical mechanical entropy of 2d black holes. Focus is put on the close relation to finite dimensional point particle systems.Comment: 4 pages, Latex; talk delivered at the 2nd Conference on Constrained Dynamics and Quantum Gravity, Santa Margherita Ligure, September 199

Nerve cell differentiation in hydra requires two signals

Endogenous signals controlling nerve cell commitment in hydra were investigated using an assay for committed nerve precursors. Extracts of hydra tissue were prepared and tested for their ability to induce nerve cell commitment. The active component in such extracts was identified as a neuropeptide, the head activator [H. C. Schaller and H. Bodenmüller (1981) Proc. Natl. Acad. Sci. USA 78, 7000–7004], based on its chromatographic properties and reaction with anti-head activator antibody. In addition, synthetic head activator (10−13–10−11 M) was shown to cause nerve cell commitment. Additional experiments demonstrated that committed nerve precursors require a second signal to differentiate nerve cells. Committed precursors induced by treatment of hydra with head activator do not differentiate in whole hydra; but do differentiate when pieces of treated tissue are explanted or when whole animals are simply injured with transverse cuts. The injury stimulus is long-lived. It cannot be replaced with head activator (10−12–10−10 M) but is contained in a methanol extract of hydra tissue

The surface composition of large Kuiper belt object 2007 OR10

We present photometry and spectra of the large Kuiper belt object 2007 OR10. The data show significant near-infrared absorption features due to water ice. While most objects in the Kuiper belt with water ice absorption this prominent have the optically neutral colors of water ice, 2007 OR10 is among the reddest Kuiper belt objects known. One other large Kuiper belt object -- Quaoar -- has similar red coloring and water ice absorption, and it is hypothesized that the red coloration of this object is due to irradiation of the small amounts of methane able to be retained on Quaoar. 2007 OR10, though warmer than Quaoar, is in a similar volatile retention because it is sufficiently larger that its stronger gravity can still retain methane. We propose, therefore, that the red coloration on 2007 OR10 is also caused by the retention of small amounts of methane. Positive detection will require spectra of methane on 2007 OR10 will require spectra with higher signal-to-noise. Models for volatile retention on Kuiper belt objects appear to continue to do an excellent job reproducing all of the available observations

Model-independent determination of the carrier multiplication time constant in CdSe nanocrystals

The experimental determination of the carrier multiplication (CM) time constant is complicated by the fact that this process occurs within the initial few hundreds of femtoseconds after excitation and, in transient-absorption experiments, cannot be separated from the buildup time of the 1p-state population. This work provides an accurate theoretical determination of the electron relaxation lifetime during the last stage of the p-state buildup, in CdSe nanocrystals, in the presence of a single photogenerated hole (no CM) and of a hole plus an additional electron–hole pair (following CM). From the invariance of the 1p buildup time observed experimentally for excitations above and below the CM threshold producing hot carriers with the same average per-exciton excess energy, and the calculated corresponding variations in the electron decay time in the two cases, an estimate is obtained for the carrier multiplication time constant. Unlike previous estimates reported in the literature so far, this result is model-independent, i.e., is obtained without making any assumption on the nature of the mechanism governing carrier multiplication. It is then compared with the time constant calculated, as a function of the excitation energy, assuming an impact-ionization-like process for carrier multiplication (DCM). The two results are in good agreement and show that carrier multiplication can occur on timescales of the order of tens of femtoseconds at energies close to the observed onset. These findings, which are compatible with the fastest lifetime estimated experimentally, confirm the suitability of the impact-ionization model to explain carrier multiplication in CdSe nanocrystals

Econometric Issues in Estimating User Cost Elasticity

The user cost elasticity is a parameter of considerable importance in economics, with implications for the effects of budget deficits, tax-based savings incentives, monetary policy, corporate taxes, and tariffs and quotas on capital goods. This paper analyzes the econometric issues that account for differences in the estimated elasticity between the two existing papers that estimate the long-run elasticity on aggregate data. The preferred estimate that results from this analysis is substantially higher than most previous estimates. The empirical evidence suggests that, when adjustment frictions are important, long-run estimates of key parameters are less biased – and the details of the econometrics matter. In particular, DOLS estimates appear less biased than the alternatives considered here. The econometric issues that are analyzed in this paper have wide-ranging implications for research areas where adjustment frictions are important, including nominal price stickiness, habit formation, and sticky information models, among others.User cost elasticity, Capital stock, Investment, Adjustment frictions, Cointegration and long-run econometrics

Explicit Global Coordinates for Schwarzschild and Reissner-Nordstroem

We construct coordinate systems that cover all of the Reissner-Nordstroem solution with m>|q| and m=|q|, respectively. This is possible by means of elementary analytical functions. The limit of vanishing charge q provides an alternative to Kruskal which, to our mind, is more explicit and simpler. The main tool for finding these global charts is the description of highly symmetrical metrics by two-dimensional actions. Careful gauge fixing yields global representatives of the two-dimensional theory that can be rewritten easily as the corresponding four-dimensional line elements.Comment: 12 pages, 3 Postscript figures, sign error in Eq. (37) and below corrected, references and Note added; to appear in Class. Quantum Gra

Scale-invariant cellular automata and self-similar Petri nets

Two novel computing models based on an infinite tessellation of space-time are introduced. They consist of recursively coupled primitive building blocks. The first model is a scale-invariant generalization of cellular automata, whereas the second one utilizes self-similar Petri nets. Both models are capable of hypercomputations and can, for instance, "solve" the halting problem for Turing machines. These two models are closely related, as they exhibit a step-by-step equivalence for finite computations. On the other hand, they differ greatly for computations that involve an infinite number of building blocks: the first one shows indeterministic behavior whereas the second one halts. Both models are capable of challenging our understanding of computability, causality, and space-time.Comment: 35 pages, 5 figure