Derive Lorentz Transformations

Опубликовано: 13 Май 2018
на канале: For the Love of Physics
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Can you Derive the Lorentz Transformations from the postulates of STR?

When two inertial observers look at a common event, their measurements of distances and time are related by transformation equations. Usually, we use Galilean transformation (GT) equations.

However, the GT are not compatible with the postulates of Special Theory of Relativity. It cannot predict that the speed of light is a constant. It also cannot accommodate relativistic phenomenon like length contraction, time dilation, etc.

For this reason, GT needs to be replaced with a new set of transformation equations that will be compatible with Special Relativity.

These are called Lorentz Transformations.

In this video, I derive the Lorentz transformations for a very simple case, where relative motion between both frames of reference is happening only in one direction.

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