This code makes no sense
GameViewController().pause(true)
because you are creating a new instance of GameViewController rather than accessing the current one.
Rather than pausing the whole scene you should just pause the nodes that you would liked paused. Usually you create some kind of worldNode in your game scene (Apple also does this in DemoBots)
class GameScene: SKScene {
let worldNode = SKNode()
// state machine, simple bool example in this case
var isPaused = false
....
}
than add it to the scene in DidMoveToView
override func didMoveToView(view: SKView) {
addChild(worldNode)
}
Than all nodes that you need paused you add to the worldNode
worldNode.addChild(YOURNODE1)
worldNode.addChild(YOURNODE2)
Than your pause function should look like this
func pause() {
worldNode.paused = true
physicsWorld.speed = 0
isPaused = true
}
and resume like this
func resume() {
worldNode.paused = false
physicsWorld.speed = 1
isPaused = false
}
Lastly to make sure the game is always paused when in paused add this to your update method. This ensures that you game does not resume by accident e.g due to app delegate, iOS alerts etc.
override func update(currentTime: CFTimeInterval) {
if isPaused {
worldNode.paused = true
physicsWord.speed = 0
return
}
// Your update code
...
}
To call these from your AppDelegate you should use delegation or NSNotificationCenter as has been mentioned in one of the comments.
In gameScene create the NSNotifcationObserver in didMoveToView
NSNotificationCenter.defaultCenter().addObserver(self, selector: #selector(pause), name: "Pause", object: nil) // in your app put the name string into a global constant property to avoid typos when posting
and in appDelegate post it at the correct spot
NSNotificationCenter.defaultCenter().postNotificationName("Pause", object: nil)
The main benefit with the worldNode approach is that you can easily add pause menu sprites etc while the actual game is paused. You also have more control over your game, e.g having the background still be animated while game is paused.
Hope this helps.