Today I have a quiz for all of you.

The way from the Lorentz invariance to the "E=mc˛" law is well known, at least algebraically.
Making the laws of motion relativistic leads to a modification of the energy conservation theorem.
This new conservation law matches perfectly to its non-relativistic equivalent when v/c is small.
But there is an additional term: the "rest energy" or "rest mass energy".


Why does the relativistic properties of space-time, lead to this additional rest energy?
At first sight, how space time is understood has no or little relation with the concept of energy.
Still, switching from Galilean invariance to Lorentz invariance pops up the rest mass energy concept.

How would you understand that physically?

Anon: Today I have a quiz for all of you.

The way from the Lorentz invariance to the "E=mc˛" law is well known, at least algebraically.
Making the laws of motion relativistic leads to a modification of the energy conservation theorem.
This new conservation law matches perfectly to its non-relativistic equivalent when v/c is small.
But there is an additional term: the "rest energy" or "rest mass energy".


Why does the relativistic properties of space-time, lead to this additional rest energy?

cinci: You need to be clearer. Is the "rest energy" term E=mc^2? How about writing out the relationships you're talking about.
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Anon: At first sight, how space time is understood has no or little relation with the concept of energy. Still, switching from Galilean invariance to Lorentz invariance pops up the rest mass energy concept.

How would you understand that physically?

cinci: More informatin please.
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