Browsing by Author "Yarman,O."

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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.