Wave resonance and scaling. Speed of light as a boundary of physical interactions.

Wave resonance and scaling. Speed of light as a boundary of physical interactions.

(zenodo.org) Introduction Modern physics operates with a number of fundamental constants, among which Planck's constant h occupies a special place. However, if we consider the process of scaling physical quantities through resonant waves, we can assume that Planck's constant is not an independent quantity, but is derived from the speed of light and geometrical characteristics of wave processes. Linking wave processes and scaling Many physical phenomena are based on resonance. If we consider standing waves at different scales, we can identify their common patterns. One of the key factors is that when scaling the wavelength, the number of nodes is preserved, while the frequency changes inversely proportional to the scale. The speed of light plays here the role of a fundamental parameter determining the interaction of waves. It is important to note that the interaction velocity remains constant, but it can be decomposed into two components: along the x-axis (spatial scale that defines the size); along the y-axis (energy-related oscillation frequency). This leads to a fundamental relationship between...
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Energy of a particle as a closed wave structure and the law of conservation of energy

Energy of a particle as a closed wave structure and the law of conservation of energy

(zenodo.org) Introduction Modern physics considers elementary particles as objects possessing both corpuscular and wave properties. In relativistic mechanics the energy of a particle is defined by the expression: This formula shows that the energy of the particle grows with increasing momentum. However, if the particle is a closed wave structure of an electromagnetic wave and a standing wave in space created by the propagation of the electromagnetic wave, then its energy must be conserved within the system. This leads to an important question: how does a change in velocity affect the internal structure of the wave? De Broglie wavelength and energy redistribution According to de Broglie's hypothesis, a moving particle possesses an associated wave with length: where is Planck's constant, a is momentum. An increase in velocity leads to an increase in momentum, and hence to a reduction in wavelength. This means that when a particle accelerates, its wave structure shrinks, changing the distribution of energy within the system itself. Particle as a closed object If a particle...
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Theory of frequency, energy density and fractal structure of the Universe

Theory of frequency, energy density and fractal structure of the Universe

(zenodo.org) dated April 27 Introduction Modern physics is based on quantum mechanics and general relativity theory (GRT), but their unification remains an unsolved problem. We propose an alternative model in which the frequency of oscillations is the primary concept determining the energy density. Within this model, Planck's constant plays the role of the fractalisation coefficient, determining the scale of physical processes. In the proposed model space is considered as perfectly straight, and all gravitational effects are interpreted not as a curvature of the geometry, but as a result of changes in the energy density in it. This is a key difference from the general theory of relativity, allowing a new look at the nature of interactions. 1. Rethinking the Michelson-Morley experience According to the special theory of relativity (STR), the speed of light in a vacuum is the same for all observers, regardless of their motion. This means: If one observer is travelling at some speed and the other remains at rest, they will both measure the...
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