Browsing by Author "Arik,M."

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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: 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: 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: 1
Reply to the Comment by Justo Pastor Lambare
(Institute of Physics, 2023) Kholmetskii,A.; Missevitch,O.; Yarman,T.; Arik,M.
[No abstract available]