alright fuckers let's go over this again (and spread the knowledge please, it baffles me how it's apparently niche info)
your sleep is on a cycle, each cycle is ~90 minutes, you need from 4 to 6 consecutive cycles to get a good night's sleep, that's 6 to 9h (how much you need depends on your body)
now here's the kicker - if you wake up at the end or the beginning of a sleep cycle, which is when the lightest phase of sleep occurs - you'll feel nice and refreshed.
but if you wake up in the middle - during the deepest phase of your sleep cycle - you'll feel like a fucking zombie and are quite likely to promptly turn off your alarm & go back to sleep and not even register that action as a memory because most of your brain is still asleep
this is also why you can't really have a 40 min nap that leaves you refreshed, you can either have a refreshing <20min nap or a refreshing ~90min nap, anything inbetween will make you feel more tired as your mind now has to wake itself up all the way from deep sleep
so yeah, sleep in ~90min increments, my personal sweet spot is 7:30h
why would he walk around with the everything cops need to arrest and convict him though? the crime was clean, is the same person who committed a clean and well planned crime going to be walking around with the murder weapon and a manifesto placing him both at the crime scene and giving him a clear motive?
few days ago i said "someone will be arrested and tried for this, will it be the person who actually did it, or someone who has the misfortune of looking kinda like the guy". so far it seems it's someone who got unlucky because, quite frankly, the evidence seems made up