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in this kind of transformation , what is the meaning of homogenous and isotropic??
Gallilean transformation is a mathematical method used to describe the relationship between motion in different frames of reference. It was first introduced by the scientist Galileo Galilei in the 17th century.
Gallilean transformation is used for objects moving at low speeds, while Lorentz transformation is used for objects moving at high speeds close to the speed of light. Lorentz transformation takes into account the effects of relativity, while Gallilean transformation does not.
Gallilean transformation involves equations that relate the position, velocity, and time measurements of an object in one frame of reference to those in another frame of reference. It takes into account the relative motion between the two frames of reference.
Gallilean transformation is a fundamental concept in classical mechanics and is used to understand the motion of objects in everyday situations. It forms the basis of Newton's laws of motion and is essential for studying the physics of motion.
Gallilean transformation does not take into account the effects of relativity, such as time dilation and length contraction, which are observed at high speeds. It is only valid for objects moving at low speeds compared to the speed of light.