Putting Macintoshes into Hibernation Mode solves two mysteries.
1) when a mac laptop is asleep, is it "suspend to ram" or "suspend to disk"? The answer for recent macs is "both." But you can make it suspend to disk only, which leads to:
2) can you make it stop throbbing? I think this means the answer is yes: just tell it to go to "deep sleep" and it will turn completely off once it's suspended to disk.