It has been known for a long time that Einstein’s field equations when projected onto a black hole horizon look very similar to a Navier-Stokes equation in suitable variables. More recently, it was shown that the projection of Einstein’s equation onto any null surface in any spacetime reduces exactly to the Navier-Stokes form when viewed in the freely falling frame. We develop an action princip...

Commensurate scale relations are perturbative QCD predictions which relate observable to observable at xed relative scales, independent of the choice of intermediate renormalization scheme or other theoretical conventions. A prominent example is the generalized Crewther relation" which connects the Bjorken and Gross-Llewellyn Smith deep inelastic scattering sum rules to measurements of the e + ...

The correspondence principle suggests a link between asymptotic stability properties of equilibria of economic models and the equilibrium response to data that describe the model or the model environment. However, this link has been impaired by a logical-mathematical deficiency. This paper, by introducing a conceptual requirement of (local) structural stability as part of the principle hypothes...

When we vary the moduli of a compactification it may become entropically favourable at some point for a state of branes and strings to rearrange itself into a new configuration. We observe that for the elementary string with two large charges such a rearrangement happens at the ‘correspondence point’ where the string becomes a black hole. For smaller couplings it is entropically favourable for ...

tion for contact effects and of the small difference between NH3 and air mobilities. It points, however, in the same direction as the NH3-air work; namely, to a preferential change in concentration of NH3 molecules in the neighborhood of both ions. This effect is noticeable even at high concentrations of NH3. One thus sees in the negative ion the effect of the dielectric constant of NH3 on the ...

We analyze the time evolution of simple nuclear rotational wave packets (WP) called circular, linear or elliptic assuming that E = h̄ω0 I(I + 1). The scenario of fractional revivals found by Averbukh and Perelman is adapted to symmetric WP and compared to that which holds for asymmetric WP. In both cases various shapes are identified under these lines in particular many cases of cloning. ’Mutant...

The timeworn claim that a picture is worth a thousand words is generally well-supported by empirical evidence, suggesting that diagrams and other information graphics can enhance human cognitive capacities in a wide range of contexts and applications. But not every picture is worth the space it occupies. What qualities make a diagram an effective and efficient conduit of information to the huma...

The question of Bohr correspondence in quantum field theory is considered from a dynamical point of view. It is shown that the classical description of particle interactions is inapplicable even in the limit of large particles’ masses because of finite quantum fluctuations of the fields produced. In particular, it is found that the relative value of the root mean square fluctuation of the Coulo...

The true dynamical randomness is obtained as a natural fundamental property of deterministic quantum systems. It provides quantum chaos passing to the classical dynamical chaos under the ordinary semiclassical transition, which extends the correspondence principle to chaotic systems. In return one should accept the modified form of quantum formalism (presented by the Schrödinger equation) which...