Expanding Universe or maybe not.

The math seems to work equally if the universe is expanding or, radically rethought, if particles are shrinking and becoming more massive.  Professor Wetterich has put this forward and so far his peers take him seriously.   What about the red shift caused by the Doppler effect as distant matter recedes faster and faster from us?  The same result is expected if particles occupy less and less space for the same mass.  One consequence is that the beginning isn't a big bang but something more gradual, like a glissando on the piano, beginning in lower pitches and passing to high ones.

Notes extracted from Roger Highfield'article in the Calgary Herald. 
h/t smalldeadanimals

Picture borrowed from the Herald just because it looks nice.