The discussion revolves around the relationship between Einstein's equation E=mc² and Lorentz's factor γ, particularly in the context of temporal physics and the light-speed barrier. Participants explore how these concepts relate to each other and their implications for understanding special relativity.
Participants express differing views on the relevance of combining E=mc² with the Lorentz factor γ, with some arguing it does not yield new information while others seek clarification on its application. The discussion remains unresolved regarding the implications of these relationships.
There are limitations in the discussion regarding assumptions about reference frames and the conditions under which the equations apply. The relationship between energy and velocity is not fully explored, leaving some mathematical steps and implications unresolved.
Jorlack said:I was wondering if someone could help me understand why Einstein's E=mc2 isn't combined with Lorentz's factor ϒ=1/√1-(v2/c2) to further prove the light-speed barrier?
Thank you for the reference, Nugatory. Also, could you recommend any books or sights that are credited and discus the possibility of Tachyons?Nugatory said:Both of these relationships are derived from the same underlying assumptions (the two postulates of special relativity - Google for "On the electrodynamics of moving bodies" to find Einstein's 1905 paper on SR) as the light-speed limit. Thus, using them to "further prove" the lightspeed limit doesn't tell us anything new; it just shows that the assumptions that lead to the light-speed limit lead to the light-speed limit.
##\gamma = 1## when the velocity of the said object or particle is 0. Therefore the Lorentz factor would equal ##1/1## or simply, 1.Khashishi said:Jorlack, you are right. One way of writing the energy equation is
##E=\gamma m c^2##
The common equation ##E=mc^2## is only valid for particles at rest, when ##\gamma = 1##.