A night's sleep cycles through stages roughly every 90 minutes: light sleep (stages N1-N2, the majority of total sleep time, involved in initial transition and some memory processing), deep slow-wave sleep (N3, concentrated in the first half of the night, most associated with physical restoration and declarative memory consolidation), and REM sleep (increasingly dominant in later cycles, associated with vivid dreaming, emotional processing, and procedural/creative memory consolidation). This staged structure was first mapped in detail using EEG recordings starting in the 1950s, when researchers Aserinsky and Kleitman discovered REM sleep itself by noticing distinctive rapid eye movements and brain-wave patterns in sleeping subjects.
Because slow-wave sleep concentrates early in the night and REM concentrates later, cutting sleep short doesn't just reduce total sleep proportionally — it disproportionately cuts into REM sleep specifically, since that's back-loaded toward the final hours. This is one concrete reason why 'I'll just sleep a bit less' costs more than the raw hour lost suggests: it's not an even trim across stages, it's a targeted cut into the stage that happens last.