Chris Martin -- Let Freedom Ring

Unlike his estranged wife Gwyneth Paltrow, Coldplay singer Chris Martin isn't wasting any time showing off his new "uncoupled" status to the world -- stepping out in NYC this week with no wedding ring on his finger.

As we reported, Gwyneth and Chris announced their separation last month -- aka their "conscious uncoupling."

But Gwyneth is obviously taking a much slower approach to letting go of their 11-year marriage -- the actress was seen still wearing her wedding ring in L.A. on Sunday.