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Properties of Lorentz Transformations. By explicit matrix multiplication, show that the matrix A that implements a Lorentz boost along the z-axis with velocity B 0 0 YB 1 0 0 1 A = (2.158) YB 0 0 leaves the metric invariant: (2.159) Recall that the boost factor y is 1 (2.160) = /1 – 32

Properties of Lorentz Transformations. By explicit matrix multiplication, show that the matrix A that implements a Lorentz boost along the z-axis with velocity B 0 0 YB 1 0 0 1 A = (2.158) YB 0 0 leaves the metric invariant: (2.159) Recall that the boost factor y is 1 (2.160) = /1 – 32

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2.1 Properties of Lorentz Transformations. By explicit matrix multiplication, show that the matrix A that implements a Lorentz boost along the z-axis with velocity B 0 0 yB 1 (2.158) 1 YB 0 0 leaves the metric invariant: (2.159) Recall that the boost factor y is 1 (2.160) VI - 82
Transcribed Image Text:2.1 Properties of Lorentz Transformations. By explicit matrix multiplication, show that the matrix A that implements a Lorentz boost along the z-axis with velocity B 0 0 yB 1 (2.158) 1 YB 0 0 leaves the metric invariant: (2.159) Recall that the boost factor y is 1 (2.160) VI - 82
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