I was walking on the street the other day and thought to myself, maybe E=mc2 can be derived from information theoretic principles.
I did not do too much work on this, just want to brainstorm a bit.
Something along these lines: entropy is the -log of accessible microstates.
So there are two ways of increasing the entropy:
- adding energy
- adding mass ( a particle ).
You can immediately have the gut feeling that perhaps this can lead to an alternative and interesting derivation of E=mc2 (assuming a closed system and equilibrium in both cases which are divided into two subsystem that can exchange particles and energy, the total energy is constant, the total entropy is constant, the total mass is constant, in principle E=mc2 should be able to be derived from this idea ... or am I wrong ?).
This idea is so trivial and obvious that I am sure somebody has done it already.
Any idea if this has been done before ? Goggle gave me nothing useful....