Too afraid of the term divorce, though they are getting one anyway, Gwyneth Paltrow is referring to the split as "conscious uncoupling". She posted to her newsletter Goop:
Conscious Uncoupling

It is with hearts full of sadness that we have decided to separate. We have been working hard for well over a year, some of it together, some of it separated, to see what might have been possible between us, and we have come to the conclusion that while we love each other very much we will remain separate. We are, however, and always will be a family, and in many ways we are closer than we have ever been. We are parents first and foremost, to two incredibly wonderful children and we ask for their and our space and privacy to be respected at this difficult time. We have always conducted our relationship privately, and we hope that as we consciously uncouple and coparent, we will be able to continue in the same manner.

Love,
Gwyneth & Chris
She goes on to explain:
To change the concept of divorce, we need to release the belief structures we have around marriage that create rigidity in our thought process. The belief structure is the all-or-nothing idea that when we marry, it’s for life. The truth is, the only thing any of us have is today. Beyond that, there are no guarantees. The idea of being married to one person for life is too much pressure for anyone. In fact, it would be interesting to see how much easier couples might commit to each other by thinking of their relationship in terms of daily renewal instead of a lifetime investment. This is probably the reason why so many people say their long-term relationships changed overnight, once they got married. The people didn’t change, but the expectation did.

To put in plainly, as divorce rates indicate, human beings haven’t been able to fully adapt to our skyrocketing life expectancy. Our biology and psychology aren’t set up to be with one person for four, five, or six decades. This is not to suggest that there aren’t couples who happily make these milestones—we all hope that we’re one of them. Everyone enters into a marriage with the good intention to go all the way, but this sort of longevity is the exception, rather than the rule. It’s important to remember too, that just because someone is still married doesn’t mean they’re happy or that the relationship is fulfilling. To that end, living happily ever after for the length of a 21st century lifetime should not be the yardstick by which we define a successful intimate relationship: This is an important consideration as we reform the concept of divorce.
Someone put this in urban dictionary.