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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