>Something special happens during sleep that is unrelated to a general concept of metabolism, but instead a specific process.
Sure a number of your systems are shut down while sleeping that otherwise are active as you are awake, and other become more active.
Just one example is the spike of human growth hormone (typically around 75% of HGH is released during sleep), HGH is directly related to metabolism and weight loss/gain. Also as You probably know actual fat loss (as opposed to water weight) is a function of breathing, as in fat isn't "burned" or you don't sweat out fat, but fat is metabolized a literally breathed out of the body, and during REM sleep breathing is increased.
By no means is this an exhaustive list, but beyond maybe sweating a little more than normal (again water weight not fat loss) while sleeping, any actual weight loss is all a function of hormones/metabolism.