v.12 n.3 June

Usina termelétrica gravitacional

Vladimir Nikolaevich Sukhanov

Parana J. Sci. Educ., v.12, n.3, (1-5),  June 1, 2026.

DOI:  10.5281/zenodo.20474156

Abstract

Proof of the feasibility of harnessing gravitational energy. An example of how to increase the efficiency of existing thermal power plants. This is achieved by harnessing the Earth's gravitational energy, that is, by utilizing the principle of the water cycle in nature. Examples of calculations are given for power plants using water (water vapor), benzene or mercury.

Resumo

Prova da viabilidade de aproveitar a energia gravitacional. Um exemplo de como aumentar a eficiência de usinas termoelétricas existentes. Isso é alcançado aproveitando a energia gravitacional da Terra, ou seja, a utilização do princípio do ciclo da água na natureza. São apresentados exemplos de cálculos para usinas de energia que utilizam água (vapor de água), benzeno ou mercúrio. 

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QUESTIONS RE THE CONCEPT OF ENTROPY

Jeremy Dunning-Davies

Parana J. Sci. Educ., v.12, n.3, (6-14),  June 1, 2026.

DOI:  10.5281/zenodo.20474189

Abstract

“Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse fields, from classical thermodynamics, where it was first recognized, to the microscopic description of nature in statistical physics, and to the principles of information theory. It has found far-ranging applications in chemistry and physics, in biological systems and their relation to life, in cosmology, economics, and information systems including the transmission of information in telecommunication [1]. The whole idea of entropy has caused, and continues to cause, problems of real understanding for all but especially for students. Here it is hoped to highlight some, but inevitably not all, of those problems and to provoke thought among interested parties towards producing clear and accurate solutions. 

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Truncated Power Sums and the Asymptotic Structure of Derived Complex Exponents

Joseph Heyward, Meaza Bogale, Daniel Ntiamoah and Alemayehu Negash

Parana J. Sci. Educ., v.12, n.3, (15-20),  June 1, 2026.

DOI:  10.5281/zenodo.20474227

Abstract

We study exact representations of truncated geometric sums raised to complex powers and derive closed-form expressions for the associated complex exponents. Given polynomially generated complex data, we show that the exponent 𝑠𝑚 satisfying 𝑍𝑚 = 𝑆𝑚(𝑥) 𝑠𝑚 can be recovered explicitly via logarithmic and trigonometric relations. In this setting, the term derived complex exponent refers to the exponent obtained from the finite identity 𝑍𝑚 = 𝑆𝑚(𝑥) 𝑠𝑚 , rather than being specified a priori. When the data grow at most polynomially and 𝑥 > 1, the real part of the derived exponent converges to zero at a logarithmic rate, while the imaginary part remains bounded and oscillatory. The results are algebraic and asymptotic in nature and do not rely on analytic continuation, Dirichlet series, or special-function theory. Numerical experiments illustrate exact recovery and the asymptotic behavior of the derived exponents

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