It's interesting, because the amount of information required to simulate such a situation would be immense in a conventional sense.
Take the information the brain takes in every second from all it's senses, it's a phenomenal amount. To think the brain could store all this information is equally amazing, but does it store it like a computer does?
Nope, because the brain doesn't use concrete stable data. Our storage mechanism, essentially allows us to store a colossal amount of situation in a relatively small amount of space by interpreting memories each time they are accessed.
I remember a studied that showed the lack of accuracy of memories because we essentially rewrite them each time they are accessed. We experience the memory to an extent when we call it up and rewrite it. This alone tells us our brain is quiet bad at telling whether something real or not.
So the brain doesn't need fully stable data, because we can use a mix. Instead of relying on reliving an exact copy of the real life situation we rely on utilizing assumptions to process the largest amount of the memory, and concrete experiences to fill in the details and convince us it makes sense.
We already know that the brain relies extensively on assumptions. Everyone knows a boulder is a big rock, yet no one knows it's concrete shape, no one can say it has a definite texture or colour.
You will instantly recognize a boulder as a boulder but a lot of features aren't even experienced yet, because you assume it's a boulder.
This concept can be pushed further. How complex of a scene could you create using assumptions, well books make us imagine scenes the whole time without being told all the features of the world.
Every item your mind knows is essentially an amalgamation of experiences, a set of rules which defines what that object is. A tower is a tall building, slender and made of a strong enough material to support it. Depending of the level of importance we place on an item, the amount of rules (and similarly memories stored) will be increased. For instance the Eiffel tower's shape is remembered independently, as is it's colour, size and position etc.
Try to appreciate the beauty of this system. When we simulate an experience, only the most important aspects will have a lot of details, the amount we question an item is likely dependent on how well we know it, so really our experiences are catered to make them feel real.
Obviously the brain is still extensively powerful, but if you take your specific dream the only important thing you were focusing on was this girl. The room could have been any room, the weather, sun's positions, DC's actions were all probably questionable at best if you scrutinized them.
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