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Physics
Special and General Relativity
Cox & Forshaw: Explaining E=mc^2's "Negative" Option
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[QUOTE="Andrew Mason, post: 5509609, member: 15795"] Welcome to PF EveningLight! I can't really comment on the book without seeing it. Can you post the relevant pages? From the assumptions of special relativity, it can be shown that for two events separated by x and t in a "rest frame" and x' and t' in a frame moving at speed v relative to the rest frame, ##c^2t^2 - x^2 = c^2t'^2 - x'^2##. This is easier to see where x' = 0 (the two events occur at the same place in the moving frame) i.e.: ##c^2t^2 - x^2 = c^2t'^2##. Since this equality ##c^2t^2 - x^2 = c^2t'^2 - x'^2## does not depend on v, the relative speed of the two observers, the relationship must be true for all observers. The spacetime interval between two events is [I]defined[/I] as ##s^2 = x^2 - c^2t^2## [I]precisely because [/I]it is invariant for observers in all frames. AM [/QUOTE]
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Physics
Special and General Relativity
Cox & Forshaw: Explaining E=mc^2's "Negative" Option
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