Seems like it would be better and easier to just take a walk instead. Whenever you feel information overload, it's time for a break: step outside, get some fresh air, stretch your legs, etc. Not a panacea, obviously, just common sense. Staring at a wall while forcing your mind to "think of nothing"... maybe try it once and see how it goes.
Going for a run helped formulate so many of my best ideas and solved so many tricky problems I was facing. It was always one of three places: on a run, in the shower, or right before falling asleep.
Getting outside/walking can be good but there's still a lot of activity hitting your senses. People, cars, animals, sounds, or all of the above. If you can find a quiet park bench to sit and sort of defocus it might work. But more than just taking a break, when you "stare at a wall" you are engaging in deliberate sensory deprivation, which might be a better reset for your analytical mind. All that said, if taking a walk works for you, great!
Yup. It activates the parasympathetic nervous system because of the mild exercise. It also levels out your hormones such as insulin and cortisol.
> Seems like it would be better and easier to just take a walk instead.
Unfortunately for many, and few managers will admit it even though it's true - there is a performative aspect to physical presence at work. Being away from your desk, idle on slack, etc to go take that walk is a problem in many work environments.
Probably one reason why SWEs are disproportionately interested in FIRE.