2010, VOLUME 4 PROGRESS IN PHYSICS “All scientists shall have the right to present their scien- tific research results, in whole or in part, at relevant sci- entific conferences, and to publish the same in printed scientific journals, electronic archives, and any other media.” — Declaration of Academic Freedom, Article 8 ISSN 1555-5534 The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics PROGRESS IN PHYSICS A quarterly issue scientific journal, registered with the Library of Congress (DC, USA). This journal is peer reviewed and included in the ab- stracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University (Sweden), Zentralblatt MATH (Germany), Scientific Commons of the University of St. Gallen (Switzerland), Open-J-Gate (India), Referativnyi Zhurnal VINITI (Russia), etc. To order printed issues of this journal, con- OCTOBER 2010 VOLUME 4 tact the Editors. Electronic version of this journal can be downloaded free of charge: http://www.ptep-online.com CONTENTS Editorial Board Minasyan V. and Samoilov V. Formation of Singlet Fermion Pairs in the Dilute Gas of Dmitri Rabounski, Editor-in-Chief Boson-Fermion Mixture . 3 [email protected] Minasyan V. and Samoilov V. Dispersion of Own Frequency of Ion-Dipole by Super- Florentin Smarandache, Assoc. Editor sonic Transverse Wave in Solid . 10 [email protected] Larissa Borissova, Assoc. Editor Comay E. Predictions of High Energy Experimental Results . 13 [email protected] Smarandache F. Neutrosophic Diagram and Classes of Neutrosophic Paradoxes or to Editorial Team the Outer-Limits of Science . 18 Gunn Quznetsov Smarandache F. Five Paradoxes and a General Question on Time Traveling . 24 [email protected] Dumitru S. Do the Uncertainty Relations Really have Crucial Significances for Physics? 25 Chifu Ebenezer Ndikilar Bruchholz U. E. Lunar Laser Ranging Test of the Invariance of c: a Correction . 30 [email protected] Wagener P.C. Demonstrating Gravitational Repulsion . 32 Postal Address Daywitt W. C. The Relativity Principle: Space and Time and the Planck Vacuum . 34 Department of Mathematics and Science, University of New Mexico, Belyakov A. V. Finding the Fine Structure of the Solutions of Complicate Logical Pro- 200 College Road, babilistic Problems by the Frequent Distributions . 36 Gallup, NM 87301, USA Khazan A. On the Necessity of Using Element No.155 in the Chemical Physical Calc- ulations: Again on the Upper Limit in the Periodic Table of Elements . 40 Copyright © Progress in Physics, 2010 Jensen R. An Experimental Proposal for Demonstration of Macroscopic Quantum Effects......................................................................52 All rights reserved. The authors of the ar- ticles do hereby grant Progress in Physics Chifu E. N., Usman A., and Meludu O. C. 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Large papers can be considered in exceptional cases to the section Special Reports intended for such publications in the journal. Letters related to the publications in the journal or to the events among the science community can be applied to the section Letters to Progress in Physics. All that has been accepted for the online issue of Progress in Physics is printed in the paper version of the journal. To order printed issues, contact the Editors. This journal is non-commercial, academic edition. It is printed from pri- vate donations. (Look for the current author fee in the online version of the journal.) October, 2010 PROGRESS IN PHYSICS Volume 4 Formation of Singlet Fermion Pairs in the Dilute Gas of Boson-Fermion Mixture Vahan Minasyan and Valentin Samoilov Scientific Center of Applied Research, JINR, Dubna, 141980, Russia E-mails: [email protected]; scar@off-serv.jinr.ru We argue the formation of a free neutron spinless pairs in a liquid helium -dilute neutron gas mixture. We show that the term, of the interaction between the excitations of the Bose gas and the density modes of the neutron, meditate an attractive interaction via the neutron modes, which in turn leads to a bound state on a spinless neutron pair. Due to presented theoretical approach, we prove that the electron pairs in superconductivity could be discovered by Frolich¨ earlier then it was made by the Cooper. 1 Introduction peak inelastic neutron scattering intensity is connected with In 1938, the connection between the ideal Bose gas and su- the registration of neutron modes in a neutron-spectrometer perfluidity in helium was first made by London [1]. The which, in turn, defines the nature of the excitations. So we ideal Bose gas undergoes a phase transition at sufficiently may conclude that the registration of single neutron modes or low temperatures to a condition in which the zero-momentum neutron pair modes occurs at the lambda transition, from the quantum state is occupied by a finite fraction of the atoms. neutron-spectrometer. This momentum-condensed phase was postulated by London In this letter, we proposed new model for Bose-gas by ex- to represent the superfluid component of liquid 4He. With tending the concept of a broken Bose-symmetry law for bo- this hypothesis, the beginnings of a two- fluid hydrodynamic sons in the condensate within applying the Penrose-Onsager model of superfluids was developed by Landau [2] where he definition of the Bose condensation [10]. After, we show predicted the notation of a collective excitations so- called that the interaction term between Boson modes and Fermion phonons and rotons. density modes is meditated by an effective attractive interac- The microscopic theory most widely- adopted was first tion between the Fermion modes, which in turn determines described by Bogoliubov [3], who considered a model of a a bound state of singlet Fermion pair in a superfluid Bose non-ideal Bose-gas at the absolute zero of temperature. In liquid- Fermion gas mixture. 1974, Bishop [4] examined the one-particle excitation spec- We investigate the problem of superconductivity present- ed by Frolich¨ [11]. Hence, we also remark the theory of su- trum at the condensation temperature Tc. The dispersion curve of superfluid helium excitations has perconductivity, presented by Bardeen, Cooper and Schrieffer been measured accurately as a function of momentum [5]. At [12], and by Bogoliubov [13] (BCSB). They asserted that the the lambda transition, these experiments show a sharp peak Frolich¨ effective attractive potential between electrons leads inelastic whose neutron scattering intensity is defined by the to shaping of two electrons with opposite spins around Fermi energy of the single particle excitations, and there is appear- level into the Cooper pairs [14]. However, we demonstrate the ing a broad component in the inelastic neutron scattering in- term of the interaction between electrons and ions of lattice tensity, at higher momenta. To explain the appearance of meditates the existence of the Frolich¨ singlet electron pairs. a broad component in the inelastic neutron scattering inten- sity, the authors of papers [6–7] proposed the presence of col- 2 New model of a superfluid liquid helium 4 lective modes in superfluid liquid He, represented a density First, we present new model of a dilute Bose gas with strongly excitations.