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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