I don't think a tape is the best analogy. A book that is already written is better. We are all just characters in the book. Our experiences are locked into pages. As characters, we can always read the pages that have gone before, but never the pages that lay ahead.
Your hypothesis of eternal looping, hamzah, is just a play on the saying, "Your words and actions will echo for an eternity." They will echo in so much as they can be watched repeatedly, but not played again.
Furthermore, if you think about it, our experiences aren't just locked into times, they are locked into coordinates in space. Because everything is constantly moving.