Browsing by Author "Yarman,T."

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Citation Count: 5
The classical adiabatic constancy of PVγ for an ideal gas as a quantum mechanical occurrence
(2010) Yarman,T.; Kholmetskii,A.L.; Korfali,O.
In this paper, a connection between the long lasting macroscopic classical laws of gases and the quantum mechanical description of non-interacting particles confined in a box was found, thus constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered to be independent of all other molecules, and the macroscopic parameters of an ideal gas, mainly, pressure P and temperature T, can be defined as simple average quantities based on individual motions of all molecules in consideration. It is shown that for an ideal gas enclosed in a macroscopic box of volume V constant V, the constant γ appearing in the classical law of adiabatic expansion law, that is, PVγ = can be derived based on quantum mechanics. Physical implications of the result we disclose are discussed. © 2010 Academic Journals.
Citation Count: 2
The classical adiabatic constancy of PVγ for an ideal gas, can be shown to be a quantum mechanical occurrence, which yields the particular value of the constant, in question
(2012) Yarman,T.; Kholmetskii,A.L.; Korfali,O.
In this paper we find a full connection between the long lasting macroscopic classical laws of gases and the quantum mechanical description of non-interacting particles confined in a box, thus constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered to be independent of all other molecules, and the macroscopic parameters of an ideal gas, mainly, pressure P and temperature T, can be defined as simple average quantities based on individual motions of all molecules in consideration. It is shown that for an ideal gas enclosed in a macroscopic cubic box of volume V, an alphanumeric expression for the Constant appearing in the classical law of adiabatic expansion law, i.e. PV5/3 = Constant, can be derived based on quantum mechanics. Note that this constant has otherwise remained for centuries, as just an abstract quantity in the form of P1V 15/3=P2V25/3 = P 3V35/3 written for different thermodynamic states, delineated through an adiabatic transformation. No one even seems to have thought that it may eventually have a particular expression. Physical implications of the result we disclose are discussed. © 2012 TIBTD Printed in Turkey.
Citation Count: 0
A cosmically whole ethical system: How to attain a sustainable energy consumption and development, and a most stable world peace?
(2011) Yarman,T.
Herein a concise, thoroughly scientific ethical system is presented, based on the author's life lasting scientific research, condensed in basically two books (Yarman 1997; 2010), published respectively by Editions Quorum, Brussels, and by Nova Publishers, New York. We would like to call it, "Cosmic Wholeness", leading to our creation in the universe, throughout a most striking "universal matter architecture". The cosmic wholeness we disclose, can ultimately be considered, as the basis for the definition of the "good" and, that of the "bad", and amongst other things, the basis for a "sustainable energy consumption and development", a "healthy environment", and a "most stable World Peace". © 2011 Academic Journals.
Citation Count: 0
The Energy probability distribution of quantum levels of a particle imprisoned in a three dimensional box
(IOP Publishing Ltd, 2022) Yarman,T.; Akkus,B.; Arik,M.; Marchal,C.; Cokcoskun,S.; Kholmetskii,A.; Özaydin,F.
This work was trigerred by the earlier achivements of Yarman et al, aiming to bridge themordynamics and quantum mechanics, whence, Planck constant came to replace Boltzmann constant, and "average quantum level number"came to replace "temperature". This evoked that the classical Maxwell energy probability distribution p(E) with respect to energy E of gas molecules might be taken care of, by the "energy probability distribution of the quantum levels"of a particle imprisoned in a given volume, assuming that in the case we have many particles, following Pauli exclusion principle, no pair of particles can sit at the same level. Thereby, the energy probability distribution of the quantum levels of a particle imprisoned in three dimensions, will be the subject of this essay. Such an outlook becomes interesting from several angles: i) It looks indeed very much like a classical Maxwellian distribution. ii) In the case we have as many free particles in the box as the number of levels depicted by the number of quantum levels in between the predetermined lower bound energy level and the upperbound energy level, all the while assuming that the Pauli principle holds, the distribution we disclose becomes the energy probability distribution of the ensemble of particles imprisoned in the given box. iii) It can even be guessed that, if elastic collisions between the free particles were allowed, and still assuming quantization and the Pauli principle, the outcome we disclose should be about the same as that of the energy probability distribution, molecules in a room would display in equilibrium. iv) The quantized energy being proportional to the sum of three squared integers associated with respectively, each of the spatial dimensions; the property we reveal certainly becomes remarkable from the point of view of mathematics of integer numbers. All the more, we further disclose that, to the probability distribution outlook remains the same, be this qualitatively for higher dimensions than 3. © Published under licence by IOP Publishing Ltd.
Citation Count: 2
The Eötvös experiment, GTR, and differing gravitational and inertial masses Proposition for a crucial test of metric theories
(Institute of Physics Publishing, 2019) Yarman,T.; Kholmetskii,A.L.; Marchal,C.; Yarman,O.; Arik,M.
The Eötvös experiment has been taken as basis for metric theories of gravity and particularly for the general theory of relativity (GTR), which assumes that gravitational and inertial masses are identical. We highlight the fact that, unlike the long lasting and reigning belief, the setup by Eötvös experiments and its follow-ups serve to demonstrate no more than a mere linear proportionality between said masses, and not ineludibly their exclusive equality. So much so that, as one distinct framework, Yarman-Arik-Kholmetskii (YARK) gravitation theory, where a purely metric approach is not aimed, makes the identity between inertial and gravitational masses no longer imperative while still remaining in full conformance with the result of the Eötvös experiment, as well as that of free fall experiments. It is further shown that Eötvös experiment deprives us of any knowledge concerning the determination of the proportionality coefficient coming into play. Henceforward, the Eötvös experiment and its follow-ups cannot be taken as a rigorous foundation for GTR. In this respect, we suggest a crucial test of the equality of gravitational and inertial masses via the comparison of the oscillation periods of two pendulums with different arm lengths, where the deviation of the predictions by GTR and by YARK theory represents a measurable value. © Published under licence by IOP Publishing Ltd.
Citation Count: 2
Generalized lorentz group of space-time transformations
(Isik University, 2020) Yarman,T.; Altintas,A.A.; Kholmetskii,A.L.; Arik,M.; Marchal,C.B.; Yarman,O.; Ozaydin,F.
We 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. © Isik University, Department of Mathematics, 2020.
Citation Count: 9
Hyperfine spin-spin interaction and Zeeman effect in the pure bound field theory
(Springer Verlag, 2012) Kholmetskii,A.L.; Missevitch,O.V.; Yarman,T.
We carry out a joint analysis of the hyperfine spin-spin splitting (HFS) and the Zeeman effect in the framework of Pure Bound Field Theory (PBFT) we recently suggested (A.L. Kholmetskii et al. Eur. Phys. J. Plus 126 (2011) 33; 126 (2011) 35), where the PBFT corrections to the known results have a similar form due to the common physical origin of both effects. We consequently consider the hydrogen atom, positronium, muonium and muonic hydrogen atom and show that for the Zeeman effect in muonic hydrogen, the PBFT correction occurs measurable and its presence/absence can be subjected to an experimental test, which thus will be crucial for the verification of PBFT versus the common theory. Concurrently we derive the PBFT correction to the muon mass, which is cancelled in the joint analysis of HFS and Zeeman effect, but can be revealed in muon-spin-precession-resonance experiments with enhanced precision. As a result, we achieve better agreement between the estimations of the muon mass in different experiments. In addition, we have shown that the PBFT correction to the proton Zemach radius is one order of magnitude smaller than the measurement uncertainty and can be well ignored, unlike the case of the proton charge radius. © Società Italiana di Fisica/Springer-Verlag 2012.
Citation Count: 4
The interdependence of electronic energy, period of time, mass and internuclear distance displayed by any object, Part 2: Molecular derivation and application to chemically alike molecules
(Academic Journals, 2011) Yarman,T.; Yarman,F.; Özaydin,F.
This study, based on mere considerations induced by the Special Theory of Relativity, has previously established the following relationship between the "minimum electronic energy" Emin, and the related "classical vibration frequency" ω, in regards to electronic states of a given diatomic molecule: |Emin|=4π2M0gkω2Rmin2 Where M0 is the reduced mass of the molecule, Rmin the "internuclear distance" associated with ω, and gk a Lorentz invariant dimensionless coefficient, insuring the equality; it depends only on the electronic structure of the molecule; therefore for electronic states configured similarly, we expect the coefficient gk, to remain practically the same; it takes values, roughly around unity. The framework in question is interesting, given that, for alike electronic states of a given molecule, Emin versus M0ω2Rmin2, should behave linearly. This further, should allow the determination of gk, for the states in consideration. The expression is anyway valid for any diatomic molecule, along with a given gk. On the other hand, the "ground states" of bonds delineating chemical similarities, display "alike electronic configurations". This means that, gk for such bonds, should remain practically the same. Thus, regarding the ground states of such molecules, Emin versus M0ω2Rmin2 should further be expected to behave linearly (the quantities of concern, now being exclusively assigned to the ground states of the molecules in question). We check this prediction successfully for the entire body of diatomic molecules and calculate gk, for different "chemical families". The relationship we discover has got as much predictive power as that provided by the classical quantum mechanical tools; it is though incomparably simpler and faster. © 2011 Academic Journals.
Citation Count: 2
LIGO's "gW150914 signal" reproduced under YARK theory of gravity
(Institute of Physics Publishing, 2019) Yarman,T.; Kholmetskii,A.L.; Yarman,O.; Marchal,C.B.; Arik,M.
We provide an alternative explanation of the widely publicized "GW150914 event" in the framework of Yarman-Arik-Kholmetskii (YARK) gravitation theory beyond the hypothesis about gravitational waves (GWs). According to YARK, the coalescence of super-massive bodies in a binary system would induce a related alteration of the respective wavelengths of the laser beams used in the LIGO Michelson-Morley interferometer, and our numerical results well match the GW150914 interference pattern without involving any GWs hypothesis. In addition, the binary merger necessitates a rest mass decrease in YARK (which we calculated to be about 3.1 solar masses) that should be released via electromagnetic radiation emission. Due to a finite (though tiny) rest mass of the photon in YARK theory, there should be a time lag between the arrival of gravitation perturbation and electromagnetic signal to Earth, which substantially depends on the particular value of the photon rest mass, and lies in the range between few years and few hundred years. Thus, at the moment, YARK is the only alternative to GTR, which provides its own interpretation of the LIGO signals without involving the hypothesis about GWs. © Published under licence by IOP Publishing Ltd.
Citation Count: 20
Mössbauer experiments in a rotating system on the time dilation effect
(2011) Kholmetskii,A.L.; Yarman,T.; Missevitch,O.V.; Rogozev,B.I.
In this contribution, we analyze both the old Mössbauer experiments in a rotating system and our new experiment on this subject, which unambiguously indicate the presence of an additional component in the relative energy shift ΔE/E between emission and absorption lines, as compared with the classic relativistic expression written to the accuracy c-2 (that is ΔE/E=-u2/2c2, where u is the tangential velocity of absorber, and c the light velocity in vacuum). The additional dilation of time for the rotating absorber constitutes more than 20% from the relativistic value, and it many times exceeds the measuring uncertainty. We discuss a possible origin of this effect and the ways of its further experimental verification. © 2011 Academic Journals.
Citation Count: 1
On relativistic polarization of a rotating magnetized medium
(Electromagnetics Academy, 2012) Kholmetskii,A.L.; Missevitch,O.V.; Yarman,T.
We consider the relativistic polarization of a rotating magnetized medium in the framework of the approach suggested earlier [8], which is based on the charge conservation law and relativistic generalization of the first Kirchhoff law to a closed moving circuit carrying steady current. We show that the polarization of a magnet brought to a rotation differs, in general, from the relativistic polarization of a translationary moving magnet, and on this way we give one more explanation to the familiar Wilson & Wilson experiment, with the explicit demonstration of the implementation of the charge conservation law.
Citation Count: 3
Quantum mechanical disclosure of the classical adiabatic constancy of pγ for both an ideal and a photon gas
(2011) Yarman,T.; Kholmetskii,A.L.; Arik,M.
In our recent paper (Yarman et al., 2010), we established a connection between the macroscopic adiabatic transformation law (Pressure × Volume5/3= Constant) of an ideal gas and the quantum mechanical description of its molecules. This connection was unique in embodying just the Planck contant and quantum numbers, instead of the classical temperature quantity and Boltzmann constant. It was shown that for an ideal gas enclosed in a macroscopic cubic box of volume V, the constant, arising along with the classical law of adiabatic expansion, comes to be proportional to h2/m; here h is the Planck constant and m is the rest mass of the molecule the gas is made of. In this paper, we first check the relationship of concern in general parallelepiped geometry, displaying how the quantum numbers are affected throughout. We then show that our results hold for a photon gas, too, although the related setup is quite different from the previous ideal gas setup. At any rate, for a photon gas we come out with PV4/3 ~ hc = Constant, where c is the speed of light in vacuum. No matter what, the dimensions of the two constants in question are different from each other; they are still rooted to universal constants, more specifically to h2 and to hc, respectively, while their ratio, that is, V1/3 ~h/mc, interestingly points to the de Broglie relationship's cast. © 2011 Academic Journals.
Citation Count: 3
The quantum mechanical framework behind the end results of the general theory of relativity: Matter is built on a universal matter architecture
(Nova Science Publishers, Inc., 2011) Yarman,T.
This book provides a new approach toward the end results of the General Theory of Relativity (GTR), based on the law conservation of energy, though in the broader sense of the concept of 'energy', thus embodying the mass and energy equivalence of the Special Theory of Relativity (STR). Thereby, the approach is solely based on the relativisitic law of conservaiton of energy (excluding the necessity of assuming the 'principle of equivalence' of the GTR). The basic theorem the author proves, says that if in a relativistic or non-relativistic quantum mechanical description, composed properly, the mass of the object at hand is multiplied by an arbitrary number, then the total energy of it, is multiplied by the same number, and its size is divided by this number. This book presents data which concludes that the quantum mechanical invariance of the quantity energy x mass x size2 - with respect to a mass change introduced in the original wavelike description of the object - is the fundamental basis of a universal matter architecture (UMA), and well insures the end results of the GTR. © 2010 by Nova Science Publishers, Inc. All rights reserved.
Citation Count: 0
The quantum mechanical mechanism behind the end results of the GTR: Matter is built on the Lorentz invariant framework energy X mass X length2~H2
(Nova Science Publishers, Inc., 2011) Yarman,T.
In a previous article, we have provided a whole new approach toward the end results of the General Theory of Relativity (GTR), based on just the law conservation of energy, though in the broader sense of the concept of "energy", thus embodying the mass & energy equivalence of the Special Theory of Relativity (STR). Thereby, our approach was solely based on this latter theory (excluding the necessity of assuming the "principle of equivalence" of the GTR). According to our approach, the rest mass of an object embedded in a gravitational field (in fact in any field the object interacts with) decreases as much as the static binding energy coming into play. Thence, based on a general quantum mechanical theorem we prove, its internal energy, weakens as much; consequently we land at the classical gravitational red shift and time dilation. This theorem (we did not have any room to provide a general proof of, previously), basically says that, if in a relativistic or non-relativistic quantum mechanical description, composed properly, the mass of the object at hand is multiplied by an arbitrary number γ, then the total energy of it, is multiplied by γ , and its size is divided by γ. This number however may very well not be arbitrary. For example, it would specify how much the rest mass (or the same, "rest energy") of the object is altered, when this is embedded in a gravitational field, leading via quantum mechanics, strikingly at once, to the end results of the GTR. This manipulation further yields the invariance of the quantity [energy x mass x size2]. We conclude that, this quantum mechanical invariance-with respect to a mass change introduced in the original wave-like description of the object-which ought to be strapped to the square of the Planck Constant, is the fundamental basis of a universal matter architecture (UMA), and insures the end results of the GTR. Not only that our approach is incomparably simple as compared to the GTR, but it also avoids all incompatibilities (such as the breaking of the relationship E=mc2 of the STR), or inconsistencies (such as the breaking of the law of energy conservation, as well as the breaking of momentum conservation law), or blockades (such as the impossibility of the quantization of the gravitational field), thus opens a whole clear avenue toward a fusion of different fields, and understanding of the matter and the universe, at all levels, with just the same set of tools. Since we do not have to use the principle of equivalence of the GTR, amongst others, we could show that, just like the gravitational field, the electric field too, slows down the internal mechanism of a clock, had this interacted with the field. This result explains substantially, the retardation of the decay of the muon, bound to a nucleus. © 2012 by Nova Science Publishers, Inc. All rights reserved.
Citation Count: 1
Quantum phase effects for electrically charged particles and redefinition of the momentum operator
(IOP Publishing Ltd, 2022) Kholmetskii,A.L.; Yarman,T.; Missevitch,O.V.
We analyze the physical meaning of quantum phases for moving electric/magnetic dipoles through a superposition of quantum phases for point-like charges of the dipole, and in this way we disclose two new quantum phases for moving charges, next to the well-known magnetic and electric Aharonov-Bohm phases. We find that a consistent description of the full set of quantum phase effects for charged particles requires to modify the standard definition of the momentum operator via the canonical momentum of a particle towards a more inclusive definition, where this operator is associated with the vector sum of mechanical and interactional electromagnetic (EM) momenta for a charged particle in the EM field. Some principal implications of this result are discussed. © Published under licence by IOP Publishing Ltd.
Citation Count: 3
Quantum phase effects for electrically charged particles: Updated analysis
(Institute of Physics, 2022) Kholmetskii,A.L.; Yarman,T.; Missevitch,O.V.
We present an updated analysis of the total expression for the Aharonov-Bohm (AB) phase of a charged particle in an electromagnetic field, which we previously obtained through the superposition principle for quantum phases of charges and dipoles (Sci. Rep., 8 (2018) 11937), and here we re-derive it directly in the framework of the general approach, when the source, the electromagnetic field and the charged particle are quantized. The disclosure of the full set of quantum phase effects for a moving charged particle allows an important update of the wave-particle duality concept by generalizing the de Broglie relationship, where the wave vector associated with the particle is proportional to the vector sum of the mechanical and interactional electromagnetic momenta. © 2022 Institute of Physics Publishing. All rights reserved.
Citation Count: 5
Relativistic transformation of magnetic dipole moment
(2013) Kholmetskii,A.; Missevitch,O.; Yarman,T.
We consider three different definitions of magnetic dipole moment for electrically neutral compact bunches of charged particles and show that, in general, they are not equivalent to each other with respect to their relativistic transformation. In particular, we prove that the "configurational" definition of magnetic dipole moment mc = 1\2 ∫V (r × j)dV (in the common designations) and its definition through generated electromagnetic field ("source" definition ms) or experienced force ("force" definition mf) lead to different relativistic transformations ofmc andms (mf). The results obtained shed light on the available disagreements with respect to relativistic transformation of a magnetic dipole moment, and they can be used in covariant formulation of classical electrodynamics in material media.
Citation Count: 1
Reply to the Comment by Justo Pastor Lambare
(Institute of Physics, 2023) Kholmetskii,A.; Missevitch,O.; Yarman,T.; Arik,M.
[No abstract available]
Citation Count: 9
Torque on a moving electric/magnetic dipole
(2012) Kholmetskii,A.L.; Missevitch,O.V.; Yarman,T.
We derive an expression for the torque exerted on an electric/magnetic dipole moving in an electromagnetic field, which contains two new velocity-dependent terms that to our knowledge were not reported before. A physical meaning of various torque components is discussed in terms of Lorentz force law and hidden momentum contribution.
Citation Count: 1
Unification of space-time-matter-energy
(2009) Sobczyk,G.; Yarman,T.
A complete description of space-time, matter and energy is given in terms of the conservation of energy-momentum in Einstein's special theory of relativity. We derive explicit equations of motion for two falling bodies, based upon the principle that each body must subtract the mass- equivalent for any change in its kinetic energy that is incurred during the fall. In this theory, we find that there are no singularities and consequently no blackholes.