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A new definition, Lorentz transformation and attributes of Relativity theory

SO in summary 1. primed frame is a proper frame only for a partial list of variables in the total physical problem. 2. unprimed frame or local inertial frame such as a lab or earth is a proper frame but again for a partial list of variables or quantities. A set of transformation laws is valid for converting one list of these quantities to have their correct values in another frame.