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The Space–Time Scaling Problem in Materials Science
1  Faculty of Mechanical Engineering and Design, Department of Mechanical Engineering, Kaunas University of Technology, Kaunas, Lithuania
Academic Editor: Dimosthenis Stamopoulos

Abstract:

The aim of this study is to define the conditions and assumptions used in developing physical–mathematical models that reproduce—or, to some extent, question—the results of experiments and numerical calculations at the appropriate scales. The goal of describing a physical phenomenon as accurately as possible at larger scales starts with fermionic interactions in the excited state, such as Campton waves, which already have experimental and practical applications. This work presents that even in the unexcited state, electrons act as electrostatic oscillators of the wave function. At the atomic scale, the assumption of a process at the speed of light is no longer possible. Here, we discuss Fermi quantities. This work also asks the question of the constancy of Planck's constant, which arises from the angular momentum and is influenced by the electron density of an individual material. The function that would link the relationship between distance and time changes begins with the creation of a physical model of the wave function that allows the speed of light to transition to Fermi quantities, which helps to connect free (valence) electrons in physical chemistry problems. The identity of the change in electron density as the electron states of the corresponding scale allows us to calculate the elastic constant as the Bulk modulus. The scaling procedure is based on the 2D screening of a certain experiment and acquires a more realistic application that can be verified experimentally. Its use is equivalent to the square of the wave function. The problem of quantum mechanics with a volumetric change in space is also associated with scaling, which can be described as one of the Lebesgue spaces. Scaling allows us to obtain a topological sequence of the necessary physical quantities and form a complex chain connected by a causal relationship of space–time variation.

Keywords: Space Time, scaling, fermions, states, Fermi quantities, wave function

 
 
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