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Minkowski space is defined as x₁ = x, x2 = y, x3 = 2, and oct. This is done so that the space-time interval ds² = dx? - dx? - dx? - dx? (c = velocity of light). Show that the metric in Minkowski space is 0 0 0 0 0 -1 (94) = 10 0-1 0 0 -1 0 0 0 We use Minkowski space in Section 4.4 for describing Lorentz transfor- mations.

Minkowski space is defined as x₁ = x, x2 = y, x3 = 2, and oct. This is done so that the space-time interval ds² = dx? - dx? - dx? - dx? (c = velocity of light). Show that the metric in Minkowski space is 0 0 0 0 0 -1 (94) = 10 0-1 0 0 -1 0 0 0 We use Minkowski space in Section 4.4 for describing Lorentz transfor- mations.

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2.3.6 Minkowski space is defined as x₁ = x, x₂ = y, x3 = 2, and x = ct. This is done so that the space-time interval ds² = dx - dx? - dx² - dx? (c = velocity of light). Show that the metric in Minkowski space is 1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 (gij) = We use Minkowski space in Section 4.4 for describing Lorentz transfor- mations.
Transcribed Image Text:2.3.6 Minkowski space is defined as x₁ = x, x₂ = y, x3 = 2, and x = ct. This is done so that the space-time interval ds² = dx - dx? - dx² - dx? (c = velocity of light). Show that the metric in Minkowski space is 1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 (gij) = We use Minkowski space in Section 4.4 for describing Lorentz transfor- mations.
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