Why not?
You do know that the leader of the investigation was Mike Kensil, son of the former Jets president, a guy who hired Bill Belichick as head coach for a hour, after which time Belichick resigned, after which the team president (his Dad) was fired?
You do know that the first thing Mike Kensil did after halftime was to run to the Patriots sideline with a chit-eating grin, yelling "you effers are so effing busted. We weighed (sic) the footballs at halftime" (curiously, you don't 'weigh" pressure)
You do know that Chris Mortensen's false report that 11 of 12 footballs were deflated by 2 psi was accompanied by an on-air comment from Mortensen that the NFL had "weighed" footballs at halftime, suggesting that Kensil had fed him this all-important lie that 11, rather then zero, footballs were 2 psi low.
You do know that Roger Goodell started off in the NFL as a Jets employee and co-worker of Mike Kensil?
It doesn't take a lot of people to pull off a gotcha exercise/frame job. Maybe just one guy- someone willing to lie and who is powerful/connected enough to make sure that nobody corrects his lie for over 3 months.
And we flew our own jets into the world trade center to start a war.
And we faked the moon landing.
And Elvis is still living.
And....and.....and....