Gedanken experiments to destroy a black hole

It is widely believed that the complete gravitational collapse of a body always results in a black hole (i.e., “naked singularities” can never be produced) and that all black holes eventually “settled down” to Kerr-Newman solutions. An important feature of the Kerr-Newman black holes is that they satisfy relation m² ? a² + e² where m is the mass of the black hole, e is its charge, $\text{a =}\text{J}\text{m}$ is its angular momentum per unit mass and geometrized units G = c = 1 are used. (For m² <a² + e² the Kerr-Newman solutions describe naked singularities.) In this paper, we test the validity of the above conjectures on gravitational collapse by attempting to create a spacetime with m² <a² + e² starting with a Kerr-Newman black hole with m² = a² + e². Such a spacetime would either have to be a new black hole solution or a “naked singularity,” in violation of the above conjectures. In the first gedanken experiment we attempt to make the black hole capture a test particle having large charge and orbital angular momentum compared with energy. In the second gedanken experiment we attempt to drop into the black hole a spinning test body having large spin to mass ratio. In both cases we find that bodies which would cause violation of m² ? a² + e² will not be captured by the black hole, and, thus, we cannot obtain m² <a² + e², although we can come arbitrarily close in the sense that m² = a² + e² can be maintained in these processes.     

New general sulfinylating process for asymmetric synthesis of enantiopure sulfinates and sulfoxides

[reaction: see text] A general process for the efficient synthesis of sulfinyl transfer agents has been developed using cinchona alkaloids quinine and quinidine as chiral auxiliaries. The importance of these new and unique sulfinyl transfer agents is exemplified by the expedient synthesis of several sulfoxides in excellent enantiopurities and high yields.     

Untersuchungen über den Einfluß der Infektion mit Tabakmosaikvirus auf den Nucleinsäuregehalt von Nicotiana tabacum

Zusammenfassung Junge Pflanzen von Nicotiana tabacum wurden mit Tabakmosaikvirus (TMV) infiziert und die Konzentration an pufferlöslicher und an pufferunlöslicher Pflanzen-Nucleinsäure zu verschiedenen Zeiten nach der Infektion bestimmt.In der Fraktion der pufferlöslichen Pflanzen-Nucleinsäure (DNS und RNS) konnten keine mit der TMV-Infektion zusammenhängenden Konzentrationsänderungen festgestellt werden. Hingegen wird in der pufferunlöslichen Fraktion eine beträchtliche Verminderung an RNS gefunden. In dieser Fraktion bleibt die Konzentration an DNS mit der Dauer der Virusinfektion annähernd konstant. Es ist daher wahrscheinlich, daß die pufferunlösliche RNS zumindest einen Teil des für die Synthese der Virusnucleinsäure notwendigen Materials liefert.     

The adsorption of silver on potassium cyanocobalt(II)ferrate(II)

A procedure is described for recovering silver from industrial sewage (mining and photo-industry etc) with the aid of the ion-exchanger potassium cyanocobalt(II)ferrate(II) (KCFC). Silver is easily removed by simple mixing with KCFC, even from solutions containing less than 1 g of silver per ton of solution. The process is performed at room temperature at pH < 7. There is no interference from a 600-fold amount of Ca, Cu(II), Zn, Cd, Pb, and Fe(II). Pure silver may be obtained by dissolution of the ion-exchanger in potassium cyanide solution, subsequent precipitation as sulphide, and roasting, or by melting it out of the ion-exchanger after heat treatment in a high-frequency furnace. With 1 kg of KCFC, 1.25 kg of silver may be extracted from solution. The process is simple and economic.     

1,3-Dipolar cycloaddition of azomethine ylide with ethene and 2-butene: a computational study

B3LYP/6-311 + G(d,p) has been used to calculate the relative energies and geometrical parameters of the respective reactants, transition states, and cycloadducts from the cycloadditions of azomethine ylide and ethene, (Z)-2-butene, and (E)-2-butene. The half-chair (envelope) transition state structures are consistent with a synchronous concerted cycloaddition mechanism.