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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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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