Abraham Minkowski Controversy

For some long time I have been worried about the Abraham-Minkowski controversy regarding the correct expression for the momentum density for the electromagnetic field within a material. I started writing about it about five years ago, forgot about it and recently retaken it. My guess is that the controversy will be definitively solved by accounting by the mechanical momentum exchanged between the field and the material. I also found that a similar controversy might appear for other kind of waves such as acoustical waves. One attempt to solve the controversy by accounting for all forces failed and I have been unable to find why it failed. Thus I post here a very incomplete preprint. Maybe someone may point out what I’m missing.

Written on January 16, 2021