1. Lorentz Transformation
Relativity
Lorentz Transformation
MARLON FLORES SACEDON

2. Recall: Galilean Transformation
The Galilean Coordinate transformation
The Galilean Velocity transformation

3. The Lorentz Transformation

4. The Lorentz Coordinate Transformation
First question: When an event occurs at point (x, y, z) at time t, as observed in a frame of reference S, what are the coordinates (x’, y’, z’) and time t’ of the event as observed in a second frame S’ moving relative to S with constant speed u in the +x-direction?
Galilean Transformation:
For Relativistic
transformation from S to S’ be
identical to that from S’ to S.

5. The Lorentz Coordinate Transformation
First question: When an event occurs at point (x, y, z) at time t, as observed in a frame of reference S, what are the coordinates (x’, y’, z’) and time t’ of the event as observed in a second frame S’ moving relative to S with constant speed u in the +x-direction?

6. The Lorentz Velocity Transformation
The principle of relativity tells us there is no fundamental distinction between the two frames S and S’. Thus the expression for vxx in terms of v’x must have the same form, with vx changed to v’x , and vice versa, and the sign of u reversed.

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15. eNd