Question: 1. Show that the Gallilean transformations leave the expression x2 + y? + z2 + cet invariant whereas the same expression is not invariant

1. Show that the Gallilean transformations leave the expression x2 + y?

1. Show that the Gallilean transformations leave the expression x2 + y? + z2 + cet invariant whereas the same expression is not invariant under Lorentz transformations. 2 Show that the Lorentz transformations leave the expression x? + y? + z2 - c2t2 invariant. 3 By using a parameter a definded by tanh a = equations may be written as v/c, show that the Lorentz transformation = x cosh a ct sinh a, y = y, z = 2, ct = ct cosh a - x sinh a.

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