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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Lorentz transformation: classical derivation and wave interpretation

Lorentz transformation: classical derivation and wave interpretation

(zenodo.org) Introduction Lorentz transformations play a key role in relativistic physics, describing how the spatial and temporal coordinates of objects change as they move. They were originally introduced as a mathematical tool to explain the invariance of the speed of light, but later became the basis of the special theory of relativity. However, if we consider particles as wave structures, we can arrive at the same transformations through a simple geometrical interpretation. 1. How did Lorenz get his transformation? The problem that Lorenz was solving Until the end of the 19th century, it was assumed that light propagates in the ether, a hypothetical medium that fills all space. But the Michelson-Morley experiment (1887) showed that the speed of light does not depend on the motion of the Earth. This was strange: if the Earth moves through the ether, why does not the speed of light change? Lorentz proposed that objects moving through the ether contract in the direction of motion. 2. Length of the rod in a moving...
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Rethinking the Michelson-Morley experience

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 speed of light as c, regardless of their states of motion. Even if the object is flying towards or away from the light, the light will still have a velocity c relative to it. For classical mechanics such an effect could arise if objects have a wave structure and the speed of propagation of these waves would be equal to the speed of light. In this case the propagation speed would be bound to the notion of some medium. There were earlier attempts to link this medium to the ether. The Michelson-Morley experiment showed that there was no ether. But let's look at it in more detail. Michelson and Morley used an interferometer, a device that measures the...
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