This is how push notifications will work in 7.1. There will be two new actions in the Rule Language that you can use in processes:
1) MOBILE SUBSCRIBE
Will register the phone of the user that runs the process that includes this action for push notifications
After the action is executed the system will create an instance of a special predefined object MobilePhone that represents the phone of the user with the unique id
2) MOBILE PUSH MobileNotification TO MobilePhone
This will send a special predefined notification to all mobile phones in the current Context. The attributes of this special notification will allow you to specify the text of the message and different other parameters - sound, icon etc
This action will send a push notification through a Google Messaging Service (GCM) for Android devices and through APNS (Apples Push Notification Service) for iOS devices