The Second Law of Time

Even if I had a perfect bearing at the top of the pendulum's arm so that I wasn't getting any friction from swinging on that bearing, it would still damp out. Even if you didn't have a suspension rod but had an invisible perfect string, the bob itself would have many, many atoms. So even though our equations were repeating say every second, the time crystal is now repeating every two seconds. It breaks that discrete symmetry further down to, to an even smaller discrete symmetry.