Some astrophysical consequences of the Jordan-Brans-Dicke theory

It is shown that the appearance of a new dimensional constant — the speed of light — in the field equations of the Jordan-Brans-Dicke theory (JBD) makes it possible to construct from the set of constant constructions appearing in the system two with the dimension of energy. This is an indication of the existence of two branches of equilibrium configurations in the JBD theory, which was discovered from numerical calculations by Saakyan and Mnatsakanyan. The problem of the gravitational stability of the cosmological model of the JBD theory is considered. It is shown that the two modes of perturbation evolution obtained differ little from the perturbation modes in the Friedmann model.This article is the result of work performed under the direction of Candidate of Physical and Mathematical Sciences V. I. Bashkov.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 24–27, February, 1982.     

Some consequences of the nonlocalizability of space-time events

Space-time events are characterized by their coordinatesx from the classical point of view. The same events from the quantum-mechanical point of view should be described rather by the expectation value of coordinates X. The expectation value could be evaluated by introducing a density operator(x,x) associated with the event. In the case where(x,x) cannot be described by delta functions strictly monochromatic radiation does not exist. If localizability is limited by Planck's length there are no narrower spectral lines than 2× 10^–29 E ² (eV) whereE stands for the photon energy.On leave from the Institute of Nuclear Physics, Kraków, ul. Radzikowskiego 152, Poland.     

Some phenomenological consequences of the super higgs effect

To the combined system of supergravity ofN=1 and the Higgs multiplet (a scalar multiplet) is coupled a complex scalar multiplet as a simplified representative of the matter. An order-of-magnitude estimate is attempted on the masses and the couplings of the gravitino and other fields.     

Some consequences of exchange degeneracy and the triple-Regge-hypothesis

We extract the proton-Reggeised rho total cross-section from inclusive data for K⁺ + p → K⁰ + (anything) in the triple-Regge domain and find that it is of the same order as physical meson-proton cross-sections for a range of Reggeon mass. We also relate other processes such as pp→pX and K⁺p→K⁺X to K⁺p→K⁰X, and get good agreement with data. We suggest methods for calculating baryon exchange processes as well.     

Some consequences of neutral current systematics

Two kinds of general consequences of the ΔS=0 weak hadron neutral current independent of a gauge model are presented. Firstly are results which depend on the quark parton model. These involve bounds among neutrino inclusive cross-section and a bound onQ(Z, N) in terms of these inclusive cross-sections. Secondly are results which are independent of the quark-parton model and depend only on the SU(3) structure of the most general ΔS=0 neutral current. These tests of isopin and speciallyU-spin properties of the current are given forv+N→v+hadron+anything,v+N→v+baryon+meson ande ⁺ e ⁻→baryon+anti-baryon. In addition some conjectures are made with regard to the semi-inclusive neutrino-reactions using the quark parton model.     

Some consequences of global horizontal symmetry

It is pointed out that the present SU(3) _c ×SU(2) _L ×U(1) gauge interactions with three families have a global horizontal symmetry (denoted hereby SU(3) _H ) which is broken only by the weak charged hadron currentJ _h. Also, with (u, c), (d, s), (v _e, {ie437-1}) and (e ⁻,μ ⁻) as doublets of SU(2) _H (subgroup of SU(3) _H ),J _h has simple transformation properties under this subgroup. Amplitude relations, using SU(2) _H symmetry, for hadronic leptonic and semileptonic decays are given.     

Some consequences of infinite mass renormalization

Using a finite form of local field equations some consequences of infinite mass renormalization are studied in a rigorous manner. The method is applied to various models. For pseudoscalar meson-nucleon interaction sufficient conditions are given for the equivalence to a direct Fermi coupling. Confirming a recent result byKroll, Lee, andZumino it is shown that a vector meson field should be proportional to the corresponding current if the bare meson mass is infinite. In the conventional treatment of neutral vector meson theories this causes certain difficulties which are analyzed in detail. In case of two vector fields coupled to the same current it is found that the fields must be proportional provided the bare masses are both infinite. In the Appendix finite local field equations are discussed for the coupling of a neutral vector meson field to the current of a spin 1/2 field.     

Some interesting consequences of the maximum entropy production principle

Two nonequilibrium phase transitions (morphological and hydrodynamic) are analyzed by applying the maximum entropy production principle. Quantitative analysis is for the first time compared with experiment. Nonequilibrium crystallization of ice and laminar-turbulent flow transition in a circular pipe are examined as examples of morphological and hydrodynamic transitions, respectively. For the latter transition, a minimum critical Reynolds number of 1200 is predicted. A discussion of this important and interesting result is presented.     

Some consequences of exchangeability in random-matrix theory

Properties of infinite sequences of exchangeable random variables result directly in explicit expressions for calculating asymptotic densities of eigenvalues rho(infinity)(lambda) of any ensemble of random matrices H whose distribution depends only on tr(H+H), where H+ is the Hermitian conjugate of H. For real symmetric matrices and for Hermitian matrices, the densities rho(infinity)(lambda) are constructed by summing up Wigner semicircles with varying radii and weights as confirmed by Monte Carlo simulations. Extensions to more general matrix ensembles are also considered.     

Some consequences of a non-commutative space-time structure

The existence of a fundamental length (or fundamental time) has been conjectured in many contexts. Here we discuss some consequences of a fundamental constant of this type, which emerges as a consequence of deformation-stability considerations leading to a non-commutative space-time structure. This mathematically well defined structure is sufficiently constrained to allow for unambiguous experimental predictions. In particular we discuss the phase-space volume modifications and their relevance for the calculation of the Greisen-Zatsepin-Kuz’min sphere. The (small) corrections to the spectrum of the Coulomb problem are also computed.Received: 23 December 2004, Revised: 18 April 2005, Published online: 8 July 2005PACS: 13.60.-r; 03.65.Bz; 98.70.Sa     

Some consequences of the quark parton model in inclusive electroproduction

Consequences of the quark parton model proposed by Feynman for inclusive electroproduction are studies. We show that the SLAC experiment γ_v+p(n) → h^±+anything which distinguishes the outcoming hdrons by their charges only gives the possibility to check sum rules with fractional quark quantum numbers, to determine the charge of the proton quark (neutron quark) and to measure the valence distribution function directly. We predict the multiplicity difference for the charged hadrons as the function of q² which agrees well with the experimental data published recently.     

Some consequences of relativistic effects upon optical spectra

Large spin–orbit interaction produces large orbital magnetic moments in narrow energy bands. Since the orbital character of the wave functions is more important in orbital than in spin magnetism, the limitations of the local spin density approximation become evident. It is possible to keep the orbital dependence of the exchange interactions by using an orbital polarization scheme or by using Hartree–Fock theory with screened Slater integrals for exchange. This leads to an enhancement of the calculated orbital moment when the magnetism is strong. Recently calculated magnetic moments and calculated sum rules for X-ray magnetic circular dichroism in US are described. Received: 23 May 2001 / Accepted: 4 July 2001 / Published online: 5 October 2001     

Some new consequences of the order parameter description of glassy states

By extending the classical order parameter theory of glassy states to the case of inhomogeneous glassy states, some new consequences of the theory are derived. It is shown that the phase boundaries, critical points, and the kinetics of phase transition differ in the annealed and the quenched states. For example, the critical point of phase separation is always suppressed in the quenched states. Cahn's analysis of elastic energy effects is shown to be a special case of the present formalism.     

Some consequences of the Finslerian structure of the space-time with the absolute parallelism

In the present paper the correspondence between the Reimannian and the Finslerian metric structures of the space-time with the absolute parallelism is considered. The statistical characteristics of the gravitational field, defined by the Finslerian metrization, are investigated. Some basic principles of the development of the theory of physical fields, depending on the line support elements, are discussed.     

On the vanishing of the cosmological constant

A lagrangian is proposed for a Kaluza-Klein theory of gravity which has a vanishing cosmological constant as stable fixed point.     

Three-loop vanishing of the superstring cosmological constant

We employ a holomorphic unitary gauge to evaluate the genus-three partition function for closed superstrings in ten-dimensional flat space in the picture-changing representation. The Riemann identity leads to a pointwise vanishing measure in moduli space which trivially avoids global ambiguities.