Photons are massless, yet have momentum

>hurr wtf is plancks constant
>durr energy-momentum relation *licks forehead*
you cataclysmic spastic

The waves in a medium is actually a 3 body problem. The wanes propagate through collisions of particles in the medium.

Light in a vacuum doesn't use a medium.
If you apply conservation of energy and momentum you find it doesn't work for 2 body problems at all.

See photoelectric effect and Compton scattering as examples.

isn't momentum just "where the energy is going to" and "in what quantity"?

Classically, momentum is
.5mv^2
Since photons are massless, it would have 0 momentum

>classically
>photons

actually, that's kinetic energy. Classically, momentum is just mv. You could also just define this as the derivative of the kinetic energy with respect to the velocity (this is also true in relativity). For light, dv=0 so dK/dv is undefined. And thus the momentum is not 0 but actually closer to "undefined".

>what r phonons?

There are different definitions for momentum.
Light would have no 'classical' momentum.
en.wikipedia.org/wiki/Four-momentum

black holes are infinite density. that would require infinite mass, wtf?

You're a moron.