In comment 13912522
| and a few more million guaranteed, than there's your answer. He's also won a title and some people want a new challenge. Maybe he likes NY. Maybe there's too much tension/uncertainty in NE?
Tons of potential reasons.
To add to your last point, Solder alludes to the "cold" atmosphere of the Patriots organization. He stated that depending on how you practiced that day or answered a question would depend on how you were treated that day. One day you are a pro-bowler, the next you feel like you can be cut.
Not to say the "all business" approach is wrong as the Patriots have the hardware to back up their program, but it can wear on a person. Nate has already won 2 rings and is recognized league wide for his abilities. I'm not insinuating that he came just for the money and not to be challenged. But with the equal/better medical care for Hudson and a new environment, it can be the necessary incentive to reinvigorate a player.