Solve Equation 2.2 from Thomson, c²₁² - x² - y² − z ² = c²₁¹² - x²² - y²² - z²², (2.2) in the special case that the ['-frame is moving in the +z direction at constant speed v. Show explicitly that 2.2 is satisfied if, t' V = y(1 - - 2 ²), ~22²), x² = x, y'=y_and_z' = y(z-vt),

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Solve Equation 2.2 from Thomson,
c² ₁² − x² − y² − z² = c²₁¹² — x²² - y²² − z²²,
(2.2) in the special
case that the ['-frame is moving in the+z direction at constant speed v. Show explicitly that 2.2 is satisfied if,
V
t'
t = y(t−22²), x = x, y'=y_and_z' = y(z-vt),
Transcribed Image Text:Solve Equation 2.2 from Thomson, c² ₁² − x² − y² − z² = c²₁¹² — x²² - y²² − z²², (2.2) in the special case that the ['-frame is moving in the+z direction at constant speed v. Show explicitly that 2.2 is satisfied if, V t' t = y(t−22²), x = x, y'=y_and_z' = y(z-vt),
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