My guess is that the security camera in the Pentagon was on International Dateline Military time which in Australia would be the next day (just a guess)
Doesn't work out right. 9:37 AM EDT would be 21:37, 22:37, or 23:37 THE SAME DAY, in Australia Anyway military generally uses ZULU/Greenich Mean Time/Universal Time, which only 4 hours ahead of EDT.
The international dateline time would be 15 hours ahead of EDT (Greenich +11) making it 00:37, IOW, just after midnight on the 12th.