Einstein's:Mass increase resulting from Acceleration increase

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The discussion centers on the relationship between acceleration, mass, and energy in the context of Einstein's theories. Participants clarify that while relativistic mass increases with velocity, invariant mass remains constant regardless of speed. The confusion arises from differing definitions of mass, with some emphasizing the importance of distinguishing between rest mass and relativistic mass. The conversation also touches on the implications of applying energy to a system, noting that while energy increases, rest mass does not change. Ultimately, the dialogue highlights the complexities of mass definitions in relativity and the need for clarity in discussions about these concepts.
  • #31
robphy said:
If you are implying that "apparent energy measured by this observer" is redundant, yes, I agree... that is why I did not use such a phrase.
If one is speaking of flat spacetime an inertial frames then it depends on usage. If there is no field present then its bet to refer to the sum of mass-energy and rest energy as "inertial energy." If there is a field present then the potential energy must be added and then one refers to the sum as the "energy" or "total energy." The time component of the 4-momentum will be the inertial energy. The time component of the canonical 4-momentum will be the the total energy.

Pete
 

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