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lorenz -> lorentz (#6670)
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"""
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"""
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Lorenz transformation describes the transition from a reference frame P
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Lorentz transformation describes the transition from a reference frame P
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to another reference frame P', each of which is moving in a direction with
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to another reference frame P', each of which is moving in a direction with
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respect to the other. The Lorenz transformation implemented in this code
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respect to the other. The Lorentz transformation implemented in this code
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is the relativistic version using a four vector described by Minkowsky Space:
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is the relativistic version using a four vector described by Minkowsky Space:
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x0 = ct, x1 = x, x2 = y, and x3 = z
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x0 = ct, x1 = x, x2 = y, and x3 = z
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NOTE: Please note that x0 is c (speed of light) times t (time).
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NOTE: Please note that x0 is c (speed of light) times t (time).
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So, the Lorenz transformation using a four vector is defined as:
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So, the Lorentz transformation using a four vector is defined as:
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|ct'| | γ -γβ 0 0| |ct|
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|ct'| | γ -γβ 0 0| |ct|
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|x' | = |-γβ γ 0 0| *|x |
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|x' | = |-γβ γ 0 0| *|x |
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