Full blown nose down is rare unless controlled flight into terrain. The obvious armchair speculation I would make here is that a total separation of the tailplane / stabilator or empennage of the aircraft could cause something approximating that -- the tailplane provides negative lift and without it the aircraft would pitch up until it stalled, and then a series of exponentially growing oscillations would likewise result.
It's far better to wait for the NTSB accident report and deliver sympathy and aid to those affected, however -- we don't have the facts and I am sure that they will be determined in the fullness of time.
[1] https://en.wikipedia.org/wiki/United_Airlines_Flight_232 [2] https://en.wikipedia.org/wiki/2003_Baghdad_DHL_attempted_sho...