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It is much higher in solids
Is there a theoretical maximum speed of sound?
The sound in a gas is 'carried' by the moving molecules bumping into each other and it will increase as the temperature increases - because they take less time between collisions.
Can "C" be maximum speed of sound
what about d (speed of darkness)
Not necessarily. There are upper and lower limits to the parameters involved. We've found all the elements and there are limits to structures and densities. The speed of energy flow inside a star is very slow - afaik, the energy flow is by photons - not by phonons (vibrations) so the effective speed of sound in a star must be very low.Outside a star we won't find any substance which could fulfill the requirements and it can't be inside a star.