Derivation of Minkowski norm of the four-momentum

AI Thread Summary
The discussion focuses on understanding the derivation of the Minkowski norm of the four-momentum, specifically how the expression -m^2 c^2 is derived from -E^2/c^2 + p^2. Participants clarify that this relationship is more of a definition related to the concept of mass in physics rather than a strict derivation. There is also a broader inquiry about the relationship between physical quantities and time, with examples like acceleration and velocity being discussed. The original poster expresses confusion about these concepts and seeks clarity to progress in their studies. Overall, the conversation emphasizes the foundational nature of these principles in physics.
TheCanadian
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I have attached a derivation of the Minkowski norm of the four-momentum but just don't quite see how the writer arrived at ## -m^2 c^2 ## from what was given. How exactly does this quantity follow from ## -\frac {E^2}{c^2} + p^2##? I feel like it might be very obvious, so any explanation would be great!
 

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I would say that it is a definition rather than a derivation. We use the norm of the four momentum often enough that it deserves a name, so we define the name "mass" to refer to it.
 
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