Using quasars as standard clocks for measuring cosmological redshift.

We report hitherto unnoticed patterns in quasar light curves. We characterize segments of the quasar's light curves with the slopes of the straight lines fit through them. These slopes appear to be directly related to the quasars' redshifts. Alternatively, using only global shifts in time and flux, we are able to find significant overlaps between the light curves of different pairs of quasars by fitting the ratio of their redshifts. We are then able to reliably determine the redshift of one quasar from another. This implies that one can use quasars as standard clocks, as we explicitly demonstrate by constructing two independent methods of finding the redshift of a quasar from its light curve.

Why black hole production in scattering of cosmic ray neutrinos is generically suppressed.

It has been argued that neutrinos originating from ultrahigh energy cosmic rays can produce black holes deep in the atmosphere in models with TeV-scale quantum gravity. Such black-hole events could be observed at the Auger Observatory. However, any phenomenologically viable model with a low scale of quantum gravity must explain how to preserve protons from rapid decay. We argue that the suppression of proton decay will also suppress lepton-nucleon scattering and hence black-hole production by scattering of ultrahigh energy cosmic ray neutrinos in the atmosphere. We discuss explicitly the split fermion solution to the problem of fast proton decay.

Derivative of alpha,beta-dicyanostilbene: convenient precursor for the synthesis of diphenylmaleimide compounds, E-Z isomerization, crystal structure, and solid-state fluorescence.

A convenient and efficient procedure was developed for preparing 3,4-diaryl-substituted maleimides through the improved synthesized diaryl-substituted fumaronitrile. The synthesis of diphenyl-substituted fumaronitrile derivatives from phenylacetonitrile compounds was analyzed and improved. We found the stoichiometry of the sodium methoxide and the concentration of the starting material, phenylacetonitrile derivatives, were crucial for the high yield and easy purification of the products. Particularly, bis(4-bromophenyl)fumaronitrile, bis(3-trifluoromethylphenyl)fumaronitrile, and bis(4-methoxyphenyl)fumaronitrile were isolated in good yields of 70-90% by simple suction filtration. In addition, (1)H NMR provided compelling evidence that the E-Z isomerization was involved in the formation reaction of the maleimide compounds from either fumaronitrile or maleonitrile derivatives. Single-crystal X-ray structures of these three fumaronitrile derivatives, the first three of the kind, were obtained, revealing the nonplanar molecular structure. We ascribe the strong solid-state fluorescence of these diphenylfumaronitrile derivatives to the nonplanar structure that inhibits the close packing of the molecule aggregation and thus the fluorescence quenching.