Friday, July 24, 2009

Christian Beck shows how the standard model parameters can be calculated to high precision from an astonishingly simple, parameter-free theory of chaotic strings.

Abstract. We introduce so-called chaotic strings (coupled 1-dimensional noise strings underlying the Parisi-Wu approach of stochastic quantization on a small scale) as a possible amendment of ordinary string theories. These strings are strongly self-interacting and exhibit strongest possible chaotic behavior. Constraints on the vacuum energy of the strings fix a certain discrete set of allowed string couplings. We provide extensive numerical evidence that these string couplings numerically coincide with running standard model coupling constants, evaluated at energy scales given by the masses of the known quarks, leptons and gauge bosons. Chaotic strings can thus be used to provide a theoretical argument why certain standard model parameters are realized in nature, others are not, assuming that the a priori free standard model parameters evolve to the minima of the effective potentials. The chaotic string spectrum correctly reproduces the numerical values of the electroweak and strong coupling constants with a precision of 4-5 digits, as well as the (free) masses of the known quarks and leptons with a precision of 3-4 digits. Neutrino mass predictions consistent with present experiments are obtained. The W boson mass also comes out correctly, and a Higgs mass prediction is obtained.

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Dodin and Fisch show how a classical charged particle assumes quantum mechanical properties when driven by a rapidly oscillating external field.

Abstract. The average dynamics of a classical particle under the action of a high-frequency radiation resembles quantum particle motion in a conservative field with an effective de Broglie wavelength λ equal to the particle average displacement on the oscillation period. In a quasiclassical field, with a spatial scale large compared to λ, the guiding-center motion is adiabatic. Otherwise, a particle exhibits quantized eigenstates in ponderomotive potential wells, tunnels through “classically forbidden” regions, and experiences stochastic reflection from attractive potentials.

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Hall and Reginatto show that Quantum Mechanics can be derived from Classical Mechanics (Hamilton-Jacobi formalism)
by adding the Heisenberg uncertainty relation, in form of an equality, as postulate.

Abstract. An exact uncertainty principle, formulated as the assumption that a classical ensemble is subject to random momentum fluctuations of a strength which is determined by and scales inversely with uncertainty in position, leads from the classical equations of motion to the Schrödinger equation.

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