Can we fully simulate the reality for a Brain in the Vat (BIV)?
For example i clone myself and connect the clone's brain to a very sophisticated computer, which simulates a part of the universe (for example the planet Earth) for it. The simulation should be 100% authentic, in other words, my clone's character in the virtual reality should experience the same impact of fundamental interactions (like gravity), same behaviour of classical and quantum mechanics, same mathematical and logical laws and so on.
I see only 2 ways to do that. Either i should fully comprehend the workings of the universe to create a virtual universe with the exact arrangement; but i fear that it's not possible to have a full knowledge of these fundamental workings. Or i should create such mechanism, that somehow recreates the structure and behavior of our universe in the virtual reality, but i doubt it's even possible in theory.
Considering the above, is it possible (in theory only, as a thought experiment) to create a full or partial yet authentic copy of our universe in a virtual reality and is it possible for dwellers of this virtual universe to create their own universe the same way recursively?
I want to emphasize that i'm not asking if it is possible or practical to create a BIV. Rather i want to ask if it is possible to fool the BIV, that the reality around it is real and make it impossible for the BIV to deduce the unreality of its virtual universe.

