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john t
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- Phillip Harris of University of Sussex offers an algebraic proof of invariance of spacetime interval. Need help with steps he omits.
In Phillip Harris' (U. Sussex) post on special relativity he includes on p. 45 an algebraic proof of invariance of spacetime intervals. He starts with the definition S^2 =c^t^2 - x^2 -y^2 -z^2, he inserts the Lorentz transform expressions fot t and x, and he does some algebra to show that one gets the above expression back again. He skips a bunch of steps and I am going nuts trying to get his result. I attach a screen shot of the equations. I am ok with the first of them. Note, the y and z terms were cut off in his post, but they are pretty simple. Would someone kindly show me the algebraic steps.
John Thompson [email address redacted by the Mentors}
John Thompson [email address redacted by the Mentors}
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