Ask HN: NSA False Positives (Screwing with the NSA)

Is sending emails/sms that talk about attacks on government buildings or people in hopes the NSA will pick it up, only to follow it to a dead end, effective?

If so, we could probably screw with their data mining ops by sending lies like mentioned above to friends or relatives via email or sms.

Probably not advisable, but if enough people did this it may make for a very interesting situation.

Any thoughts on this? I can't be the first to think of this.