1. https://theaviationist.com/2017/12/17/u-s-department-of-defe...
2. https://fightersweep.com/1460/x-files-edition/
The difficulties:
1. Multiple corroborating observations - radar contact, two sets of aircraft crews visual observations, one set of FLIR footage
2. Very high acceleration and deceleration - powered descent from 80K feet to 20 feet in a matter of seconds; high G turns and acceleration, BUT with no visible high temperature engine exhaust visible on FLIR footage. It's possible to mask engine exhaust and it's possible to achieve very high G's, but I can't imagine how to achieve both simultaneously.
Theories:
Assuming that there is no lying involved, based on (1) we can safely assume that there _were_ actual physical flying objects in the area. However, before we go off-Earth, I think we should look at propulsion systems that do not rely on thermal expansion of gases.
1. What if it's just an extremely powerful electric propellor based drone?
2. What if it can achieve burst acceleration by releasing compressed gases (which actually reduces temperature)?