dreamfly
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Meir Achuz said:In the modern interpretation, m is the "invariant mass" of an object, and the equation E=mc^2 holds only in the rest system.
is the rest system to viewer?
The discussion clarifies the distinction between energy and relativistic mass, emphasizing that they are not the same despite being related. The equation E = mc² is valid only for rest mass, while the more general relationship for moving objects is E² = m²c⁴ + p²c², where p represents relativistic momentum. The term "relativistic mass" is considered outdated, with modern physics favoring "invariant mass" as the intrinsic property of an object. This shift in terminology reflects a deeper understanding of mass-energy equivalence in the context of special relativity.
PREREQUISITESStudents of physics, educators in relativity, and researchers interested in the nuances of mass-energy relationships in modern theoretical frameworks.
Meir Achuz said:In the modern interpretation, m is the "invariant mass" of an object, and the equation E=mc^2 holds only in the rest system.
dreamfly said:is the rest system to viewer?
jtbell said:I'm pretty sure Meir meant "the rest system of the object in question."
In the usual modern terminology the energy of an object is
E = \frac {mc^2}{\sqrt {1 - u^2 / c^2}}
where u is the speed of the object in whatever reference frame you're working in, and m is the invariant mass, which is often called the "rest mass". This reduces to E = mc^2 when u = 0, i.e. when the object is at rest.