The spiral in Bumstead’s coffee cup is added for the director’s cut. However, he felt it important to show that the Strangers are affecting this world they’ve created both intentionally and by accident.
Showing the swirl in the coffee cup after the tuning is an indication that something not right is going on with the world.
the tuning effects, the spiral that comes out of Murdoch’s forehead when he’s tuning
The shot of Murdoch looking at his fingerprint and how the print spirals in the camera was added for the director’s cut.
Showing the print was to show how Murdoch is evolving and “adapting to his circumstances”.