v.8 n.1 January

DIMINUTIVE ERRATA ON “Weighing Diverse Theoretical Models On Turkish Maqam Music Against Pitch Measurements” – ALONGSIDE A NEW COMPARISON OF MEASUREMENTS TAKEN FROM AS¸IK VEYSEL.

Ozan Yarman and M. Kemal Karaosmanolu.

Parana J. Sci. Educ., v.8, n.1, (1-15), January 7, 2022.

DOI: tiny.cc/PJSE24476153v8i1p001-015

Abstract

In our previous contribution Bozkurt and Yarman et al. [2009], we had shown the fitness of several theoretical models in matching the histogram peaks of pitch measurements from masters of Turkish Art music in 9 maqam categories. The results had demonstrated, and still demonstrate, the high performance of particularly two tuning schemes: “Yarman- 24a” (as an alternative to the Pythagorean and as yet official Arel-Ezgi-Uzdilek) and “Mus2” based on 53-tone Equal Temperament. Here, we update the comparison tables with minor corrections, and present a link to the spreadsheet document that was used for this purpose. The errata in question are minute in general and do not significatively affect our earlier conclusions. We also include a new comparison with Asık Veysel’s Baglama frets.

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Exact equation of the gravitational field based on the Einstein separation of the Ricci tensor.

Valery Borisovich Morozov.

Parana J. Sci. Educ., v.8, n.1, (16-20), January 7, 2022.

DOI: tiny.cc/PJSE24476153v8i1p016-020

Abstract

In 1915 Einstein divided the left-hand side of the gravitational field equation (the Ricci tensor) into two tensors, one of which goes to zero with a certain choice of coordinates. The property of this part of the Ricci tensor suggests that this part is related to the gravitational field, since it is known that only the energy-momentum tensor of the gravitational field can be zeroed by transforming coordinates. This allows the energy-momentum tensor of the gravitational field to be brought into the Einstein equation. The new equation is asymptotically equivalent to the Einstein equation at low energy of the gravitational field. In addition, the local energy-momentum conservation law results directly from this equation. The covariance of the equation is proven. A numerical solution of the equation is provided for g_00. This solution could change our understanding of the behavior of the gravitational field near the source. In contrast to the Schwarzschild solution g_00, it does not reverse the sign here, becoming meaningless, but rapidly decreases to a value of almost zero, remaining non-negative. This feature lies at a distance from the origin of coordinates that is noticeably greater than the Schwarzschild radius.

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Brief description of the new gravitational field equation.

Valery Borisovich Morozov.

Parana J. Sci. Educ., v.8, n.1, (21-23), January 7, 2022.

DOI: tiny.cc/PJSE24476153v8i1p021-023

Abstract

Here have one brief description of the new gravitational field equation. Einstein introduced into general relativity the postulate that the source of the gravitational field is energy of any kind, including the energy of the gravitational field itself. However, in the modern version of the gravitational field equation, the gravitational field energy (the energy-momentum tensor of the gravitational field) is not included in the Einstein equation. The numerical solution of equation (0) showed that the solution of the equation for a point source practically does not differ from the Schwarzschild solution for values r/r_g > 50. In the region of smaller values, the values of g_00 can be checked by the signals of gravitational waves in the collision of "black holes". The solution lacks a feature inherent in some solutions of the Einstein equation, since always g_00 > 0.

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Краткое описание нового уравнения гравитационного поля.

Валерий Борисович Морозов.

Parana J. Sci. Educ., v.8, n.1, (21-23), January 7, 2022.

DOI: tiny.cc/PJSE24476153v8i1p021-023

Abstract

вот один oписана процедура уточнения уравнения гравитационного поля Эйнштейна. Эйнштейн ввел в ОТО постулат о том, что источником поля гравитационного поля является энергия любого вида, в том числе и энергия самого гравитационного поля. Однако в современной версии уравнения гравитационного поля энергия гравитационного поля (тензор энергии-импульса гравитационного поля) не входит в уравнение Эйнштейна. В области меньших значений значения g_00 можно проверить по сигналам гравитационных волн при столкновении «черных дыр». В решении отсутствует особенность, присущая некоторым решениям уравнения Эйнштейна, так как всегда g_00 > 0, см.

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