Parity Nonconserving (PNC) Electroweak Radiative Corrections for Highly Charged Ions (HCI)

We derive the electroweak radiative corrections to the basic PNC atomic transition amplitude for highly charged hydrogenlike ions. In the case of highly charged ions (HCI) effects of strong fields are reflected by the momentum transfer q ² involved. It is of the order q ²≈m _e ² inHCI, while q ²≈0 inneutral atoms. This may open the possibility to search for “new physics” beyond the Standard Model and to test the Standard Model in experiments with HCI. This revised version was published online in July 2006 with corrections to the Cover Date.     

Equivalence Postulate and Quantum Origin of Gravitation

We suggest that quantum mechanics and gravity are intimately related. In particular, we investigate the quantum Hamilton–Jacobi equation in the case of two free particles and show that the quantum potential, which is attractive, may generate the gravitational potential. The investigation, related to the formulation of quantum mechanics based on the equivalence postulate, is based on the analysis of the reduced action. A consequence of this approach is that the quantum potential is always non-trivial even in the case of the free particle. It plays the role of intrinsic energy and may in fact be at the origin of fundamental interactions. We pursue this idea, by making a preliminary investigation of whether there exists a set of solutions for which the quantum potential can be expressed with a gravitational potential leading term which alone would remain in the limit 0. A number of questions are raised for further investigation.     

Radiative Corrections to Casimir Force of Maxwell-Chern-Simons Gauge Field

We discuss the two-loop radiative correction to the Casimir force ofMaxwell-Chern-Simons Abelian gaugefield between two parallel ideal conducting wires in terms of Feynman path integral method.     

Radiative Corrections to Casimir Force of Maxwell-Chern-Simons Gauge Field

We discuss the two-loop radiative correction to the Casimir force of Maxwell Chern Simons Abelian gauge field between two parallel ideal conducting wires in terms of Feynman path integral method.     

Processes of Quantum Associative Memory (QuAM) Through New Maximally Entangled States (Singh-Rajput MES)

Using Singh-Rajput MES as memory states in the evolutionary process of pattern storage and the non-evolutionary process of pattern recall (the two fundamental constituents of QuAM), the suitability and superiority of these MES over Bell’s MES have been demonstrated in both these processes. It has been shown that, under the operations of all the possible memorization operators for a two-qubit system, the first two states of Singh-Rajput MES are useful for storing the pattern |11> and the last two of these MES are useful in storing the pattern |10> while Bell’s MES are not much suitable as memory states in a valid memorization process. The recall operations have also been conducted by separately choosing Singh-Rajput MES and Bell’s MES as memory states for possible various queries and it has been shown that in each case the choices of Singh-Rajput MES as valid memory states are much more suitable than those of Bell’s MES.     

Gravitation and Electrodynamics over SO(3,3)

In a series of papers, an approach to field theory is developed in which matter appears by interpreting source-free (homogeneous) fields over a 6-dimensional space of signature (3,3), as interacting (inhomogeneous) fields in space-time. The extra dimensions are given a physical meaning as coordinatized matter. The inhomogeneous energy-momentum relations for the interacting fields in space-time are automatically generated by the simple homogeneous relations in 6-d. We then develop a Weyl geometry over SO(3,3) as base, under which gravity and electromagnetism are essentially unified via an irreducible 6-calibration invariant Lagrange density and corresponding variational principle. The Einstein–Maxwell equations are shown to represent a low-order approximation, and the cosmological constant must vanish in order that this limit exist.     

On the Physical Principles of Gravitation

As is well known, the general theory of relativity (GTR) proceeds from the so-called equivalence principle according to which the dynamic effects of gravitation are identified with the kinematic effects of accelerated motion. In this theory, gravitation is associated with the Riemannian structure of the pseudo-Euclidean space-time (described by the metric tensor and the Riemannian connectivity and the curvature related with this tensor) specified in the four-dimensional space-time continuum. In the present work, it is first demonstrated that on the level of elementary particles (within the framework of the theory of quantized fields), the equivalence principle is violated. It is established that elementary particles with different masses (for example, electron and proton) move in the external gravitational field with different accelerations. In this connection, a new approach to the problem of gravitational interactions is suggested based on deformations of a latent dynamic system conditionally called ether that underlies elementary particle theory [2].     

Study of Radiative Deexcitation Processes in the Muonic Helium(4) Ion at 14 and 40 Atmospheres

To search for a long living 2S_1/2 state in the muonic helium ion at helium gas pressures of 14 and 40 atmospheres, radiative muon transitions were registered in a time resolved mode using sodium iodide crystals. Special care was taken to avoid gas impurities which are known to reduce the 2s lifetime significantly. In addition to the prompt photons of the K-series, a delayed component was detected. The lifetime and yield of this component agree with theoretical values for ions not perturbed by the surrounding medium. However, test measurements carried out with other target gases clearly demonstrate that practically all of the delayed events observed in pure helium are not caused by the radiative decay of a longliving 2s state.     

On Gauge Invariant Theories of Gravitation

Theories of gravitation are called gauge invariant if the invariance of the gravitational field lagrangian with respect to gauge transformations of the gravitational field variables is independend of the invariance of this lagrangian with respect to the Einstein group of general coordinate transformations. They are bimetric theories because the coordinate covariance is ensured by constructing scalar densities relative to a globally flat background metric. Such a theory is represented by the PAUL-FIERZ equations for massless spin 2 particles. But this theory is inconsistent if nongravitational matter is enclosed as a source. All attempts to overcome this inconsistancy preserving gauge invariance lead to Einstein's GRT. We review this problem and compare the situation with a theory proposed by LOGUNOV showing that he overcomes the inconsistency of linear Einstein's equations by replacing the field variables by a gauge invariant combination of new ones, which turns out to be the first order form of v. FREUD'S superpotential.     

Loop Quantum Corrections to Statefinder Parameters of Dark Energy

In this paper, we have calculated the statefinder parameters for the Friedmann-Robertson-Walker (FRW) Universe in the gravitational framework of loop quantum cosmology (LQC). As examples, we study two types of dark energy models namely Holographic dark energy and New-Agegraphic dark energy.     

Higher Order Quantum Corrections of Rotating BTZ Black Hole

In this work, we consider rotating BTZ black hole in three dimensions which is dual of one dimensional holographic superconductors. We applied higher order corrections of the entropy, which interpreted as quantum corrections, to the thermodynamics quantities and study modified thermodynamics. We investigate stability of rotating BTZ black hole under effects of higher order quantum corrections, and find that they affect stability of black hole. So, the small black hole has some instabilities and critical points due to the quantum effects. We also study effect of correction terms on the dual picture of rotating BTZ black hole.