Browsing by Author "Arik, Metin"
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Editorial Citation Count: 16Comment on "Interpretation of Mossbauer experiment in a rotating system: A new proof by general relativity"(Academic Press inc Elsevier Science, 2015) Yarman, Nuh Tolga; Yarman, Tolga; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems Engineering[No Abstract Available]Editorial Citation Count: 4Comment on "New proof of general relativity through the correct physical interpretation of the Mossbauer rotor experiment" by C. Corda(World Scientific Publ Co Pte Ltd, 2019) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe analyze the attempt by C. Corda to explain the results of modern Mossbauer experiments in a rotating system via the additional effect of synchronization of the clock in the origin of the rotating system with the laboratory clock, and indicate errors committed by him.Editorial Citation Count: 0Comment on "Underlining possible effects of Coriolis acceleration in experiments with a Mossbauer source" by Benedetto Elmo et al. Comment(Iop Publishing Ltd, 2021) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems Engineering[No Abstract Available]Article Citation Count: 7Concerning Mossbauer experiments in a rotating system and their physical interpretation(Academic Press inc Elsevier Science, 2019) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe shortly review different attempts to interpret the results of Mossbauer rotor experiments in a rotating system and particularly we show that the latest work on this subject by J. lovane and E. Benedetto (2019), which claims that the outcomes of these experiments can supposedly be explained via "desynchronization of clocks" in the rotating frame and in the laboratory frame, is inapplicable to all of the Mossbauer rotor experiments performed up to date and thus does not have any significance. (C) 2019 Elsevier Inc. All rights reserved.Article Citation Count: 19Constructing quantum logic gates using q-deformed harmonic oscillator algebras(Springer, 2014) Altintas, Azmi Ali; Ozaydin, Fatih; Yesilyurt, Can; Bugu, Sinan; Arik, MetinWe study two-level q-deformed angular momentum states, and using q-deformed harmonic oscillators, we provide a framework for constructing qubits and quantum gates. We also present the construction of some basic one-qubit and two-qubit quantum logic gates.Article Citation Count: 1Diatomic molecules' enigmatic constancy as the product of their dissociation energy and interatomic distance(Taylor & Francis Ltd, 2021) Yarman, Nuh Tolga; Zaim, Nimet; Arik, Metin; Kholmetskii, Alexander; Yarman, Ozan; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringIn this contribution, we show that the product dissociation energy (D) x interatomic distance (R) with regards to a straightforward taxonomy of diatomic molecules comes to assume a relatively high and virtually constant value. It is so much so that the heavier the diatomic molecules at hand, the closer DxR approaches e(2) (where e is the elementary charge intensity in esu). This occurrence is studied herein separately under families arranged from chemically-alike diatomic molecules. Each family (such as the set made of 'pairs of strictly alkali atoms', or 'pairs of strictly halogen atoms', or 'pairs of alkali-halogen atoms', etc), is thus composed of diatomic molecules formed of atoms bearing similar electronic configurations; whereby we initially ended up dealing with 18 families in total. In addition to those, we brought together 10 more families of diatomic molecules each composed of heavy metal atoms belonging respectively to each of the ten columns drawn from the three rows of heavy metals under the Periodic Table, and observed an even better conformance. [Sc-2, Y-2, La-2] is the first family in question; [Ti-2, Zr-2, Hf-2] and [Va(2), No-2, Ta-2] are the next two families; [Zn-2, Cd-2, Hg-2] delineates the last family of heavy metal diatomic molecules of concern. Let us stress that each of these sets embodies diatomic molecules made of heavy metal atoms belonging to the given column of the Periodic Table; thus, bearing alike electronic configurations. We further brought together 5 more families made of heavy metal hydrides, oxides, chlorides, and alkalines. We were motivated to undertake the present research in the light of our insight with regards to (i) the general non-opacity character of neutral bodies vis-a-vis electrical field transmission, and thence (ii) the attractional electric property of neutral bodies - which underlines the disclosed constancy where, particularly for diatomic molecules comprising heavy atoms, the increase in DxR happens to get aligned with the increase in atomic weight 1 (A(1)) x atomic weight 2 (A(2)).Article Citation Count: 0Einstein's "Clock Hypothesis" and Mossbauer Experiments in a Rotating System(Walter de Gruyter Gmbh, 2019) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringAn extra energy shift between emitted and received radiation on a rotating disc - next to the conventionally recognised second-order Doppler shift - has been revealed in a series of recent Mossbauer experiments, where a radioactive source is fixed at the centre and an absorber is attached to the rim of the rotating disc. This disclosure gives indication to a possible violation of the "clock hypothesis" by Einstein: i.e. the independence of the rate of a clock on its acceleration. At the moment, there seem to be two plausible interpretations of this result: (i) the deviation of the geometry of the rotating disc from that predicted by the general theory of relativity (GTR), or (ii) the existence of a specific maximal acceleration in nature, when transformation between two accelerated frames differs from the corresponding transformation of the relativity theory. We take a closer look at both ways leading to the violation of the clock hypothesis; particularly, by analysing the outcomes of recent experiments in rotating systems and by suggesting a new Mossbauer rotor experiment to determine the most feasible mechanism for testing the dependence of the rate of a clock on its acceleration.Article Citation Count: 1GENERALIZED LORENTZ GROUP OF SPACE-TIME TRANSFORMATIONS(Turkic World Mathematical Soc, 2020) Yarman, Nuh Tolga; Altintas, Azmi A.; Kholmetskii, Alexander L.; Arik, Metin; Marchal, Christian B.; Yarman, Ozan; Ozaydin, Fatih; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe examine how Lorentz Symmetry (LS) breaks down in Yarman-Arik-Kholmetskii (YARK) theory of gravitation through an entirely different mechanism than that under metric theories of gravity. Said mechanism can be right away extended to all other fields of interaction under Yarman's Approach that forms the basis of YARK theory. The result is the disclosure of a new "Generalized Lorentz Group" of space-time transformations which contains an additional parameter denoting the interactional energy per unit mass. Hence, the core finding herein is that the Minkowskian metric for an empty space-time should, when one is in the presence of gravity or any other force field, be replaced by general equalities involving a novel coupling parameter for either attraction or repulsion..Article Citation Count: 1THE INHOMOGENEOUS INVARIANCE QUANTUM GROUP OF Q-DEFORMED BOSON ALGEBRA WITH CONTINUOUS PARAMETERS(Taylor & Francis Ltd, 2011) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe present a q-deformed boson algebra using continuous momentum parameters and investigate its inhomogeneous invariance quantum group.Article Citation Count: 4THE INHOMOGENEOUS QUANTUM INVARIANCE GROUP OF q-DEFORMED BOSON ALGEBRA(World Scientific Publ Co Pte Ltd, 2009) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe investigate the inhomogeneous invariance group of the q-deformed boson algebra. We find the R-matrix which gives the noncommuting structure of the quantum group with RM(1)M(2) = M(2)M(1)R relation.Article Citation Count: 5Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra(Iop Publishing Ltd, 2012) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali Serdar; Dil, EmreWe investigate the inhomogeneous invariance quantum group of the d-dimensional d-parameter deformed boson algebra. It is found that the homogeneous part of this quantum group is given by the d-parameter deformed general linear group. We construct the R-matrix which collects all information about the non-commuting structure of the quantum group for the two-dimensional case.Article Citation Count: 1The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra(Springer/plenum Publishers, 2010) Alim, Huseyin; Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe consider two parameter deformed boson algebra and investigate the inhomogeneous invariance quantum group of this system. We find the R-matrix which collects all information about the non-commuting structure of the quantum group. We extend our study to the d-dimensional case.Article Citation Count: 9Mossbauer experiments in a rotating system, Doppler effect and the influence of acceleration(Springer Heidelberg, 2018) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe address a recent measurement carried out by Friedman et al. (J. Synchrotron Rad. 24, 661 (2017)) that was contingent upon the Mossbauer effect arising from the application of resonant synchrotron radiation on an orbiting resonant absorber, where the authors claim to have detected the influence of the centrifugal acceleration of the absorber on the measured shift of the resonant line. We show that a later attempt to explain the outcome of this experiment via the time-dependent Doppler effect in an accelerated frame (E. Benedetto and A. Feoli, Eur. Phys. J. Plus 133, 53 (2018)) is based on a misinterpretation of the Mossbauer effect and should thenceforth be rejected. We further show that the revealed dependence of the energy shift of the resonant line on the centrifugal acceleration of the resonant absorber could happen solely due to instrumental factors. In this regard, a realistic way to analyze the origin of the extra energy shift between emission and absorption lines in a rotating system is proposed.Article Citation Count: 4The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group(versita, 2010) Altintas, Azmi A.; Arik, Metin; Arikan, Ali S.We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group GL(X;qij) (n) Schirrmacher where q(ij)'s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.Conference Object Citation Count: 1New Dirac Equation from the View Point of Particle(Amer inst Physics, 2012) Yarman, Nuh Tolga; Altintas, Azmi Ali; Susam, Lidya Amon; Arik, Metin; Yarman, Tolga; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringAccording to the classical approach, especially the Lorentz Invariant Dirac Equation, when particles are bound to each other, the interaction term appears as a quantity belonging to the "field". In this work, as a totally new approach, we propose to alter the rest masses of the particles due to their interaction, as much as their respective contributions to the static binding energy. Thus we re-write and solve the Dirac Equation for the hydrogen atom, and amazingly, obtain practically the same numerical results for the ground states, as those obtained from the Dirac Equation.Article Citation Count: 4A novel approach to the systematization of α-decaying nuclei, based on shell structures(Springer, 2016) Yarman, Nuh Tolga; Zaim, Nimet; Susam, Lidya Amon; Kholmetskii, Alexander; Arik, Metin; Altintas, Ali Azmi; Ozaydin, Fatih; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe provide a novel systematization of alpha-decaying nuclei, starting with the classically adopted mechanism. The decay half-life of an alpha-disintegrating nucleus is framed, supposing that i) the alpha-particle is born inside the parent, then ii) it keeps on hitting the barrier, while it runs back and forth inside the parent, and hitting each time the barrier, and iii) it finally tunnels through the barrier. One can, knowing the decay half-life, consider the probability that the alpha-particle is born within the parent, before it is emitted, as a parameter. Under all circumstances, the decay appears to be governed by the shell structure of the given nucleus. Our approach well allows to incorporate (not only even-even nuclei, but) all nuclei, decaying via throwing an alpha particle. Though herein, we limit ourselves with just even-even nuclei, in the aim of comparing our results with the existing Geiger-Nuttal results.Article Citation Count: 11Novel theory leads to the classical outcome for the precession of the perihelion of a planet due to gravity(Physics Essays Publication, 2014) Yarman, Nuh Tolga; Kholmetskii, Alexander; Arik, Metin; Yarman, Ozan; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe offer a novel method which lets us derive the same classical result for the precession of the perihelion of a planet due to the gravitational effects of the host star. The theoretical approach suggested earlier by the first author is erected upon just the energy conservation law, which consequently yields the weak equivalence principle. The precession outcome is exactly the same as that formulated by the general theory of relativity (GTR) for Mercurial orbit eccentricities, but the methodology used is totally different. In our approach, there is no need to make any categorical distinction between luminal and subluminal matter, since, as we have previously demonstrated, our theory of gravity is fully compatible with the foundations of quantum mechanics. Our approach can immediately be generalized to the many-body problem, which is otherwise practically impossible within the framework of GTR. Our approach thus leads to a unified description of the microworld and macroworld physics. (C) 2014 Physics Essays Publication.Article Citation Count: 5On the synchronization of a clock at the origin of a rotating system with a laboratory clock in Mossbauer rotor experiments(Academic Press inc Elsevier Science, 2019) Yarman, Nuh Tolga; Yarman, Tolga; Yarman, Ozan; Arik, Metin; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe show that the attempt by Corda (2015) to explain the results of Mossbauer rotor experiments via introducing the effect of the synchronization of a clock at the origin of a rotating system with a laboratory clock is erroneous and must be rejected. (C) 2019 Elsevier Inc. All rights reserved.Article Citation Count: 10Pound-Rebka result within the framework of YARK theory(Canadian Science Publishing, 2016) Yarman, Nuh Tolga; Kholmetskii, Alexander; Arik, Metin; Yarman, Ozan; Enerji Sistemleri Mühendisliği / Energy Systems EngineeringWe herein show that the classical Pound-Rebka (P-R) result is furnished within the framework of Yarman-Arik-Kholmetskii gravitation theory, which we will call YARK in short, in terms of the energy shift of resonant gamma-radiation under Earth's gravitational field. Previous successes of YARK in satisfactorily dealing with the precession of the perihelion of Mercury, gravitational redshift, Shapiro delay, lensing effect, anomalous light-bending of gamma quanta, dark energy, accelerated cosmic expansion, analytical derivation of the Hubble constant, and additional time dilation in Mossbauer rotor setups makes it further applicable to past experiments like P-R that has so far been thought to validate the general theory of relativity (GTR). We discuss the P-R outcome of YARK and compare it with what is furnished by GTR.Article Citation Count: 18Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase(Springer/plenum Publishers, 2014) Ozaydin, Fatih; Altintas, Azmi Ali; Bugu, Sinan; Yesilyurt, Can; Arik, MetinWe study the quantum Fisher information (QFI) of a system of several particles which is in a superposition of a GHZ and two W states with arbitrary relative phase. We show that as the number of particles increases from 3 to 4, the behavior of QFI drastically changes. We also show how the dependence of QFI on the relative phase weakens as the number of particles increases. We also analyze the QFI for the state for several instances of N due to the change of the relative phases.