>Only universes with very different physical properties can produce some version of this Universe as a simulation.
I cannot give a formal proof to it but at the same time this feels so ... obvious?
Edit: I'm not going to complain about the downvotes but they also didn't prove s*it, lol.
Since the gloves are off now ...
"As anticipated, since EI,U ≫ EU , there simply is not enough energy within the entire observable Universe to simulate another similar universe down to the Planck scale, in the sense that there are not even remotely available resources to store the data and even begin the simulation."
It would be very stupid to even consider that a complete simulation of X could be carried out from within X and using only elements present in X.
Yeah, when I heard that the largest supercomputer in the world was going to simulate the folding of a single protein (something that takes infinitesimal time and energy in reality) it was also obvious to me that simulating the universe would be incredibly wasteful. There's plenty of room at the bottom but not that much room.
Of course this argument does not apply if the outer universe contains extra dimensions or whatever, but that isn't the kind of ancestor simulation Bostrom and friends are talking about.
Goedel's Completeness Theorem seems (to me) to support this hypothesis: No universe can contain enough diversity to simulate itself. (My adaptation of GCT to this question; he did not directly address it.)
* What about simulating the simulator? Or something like that.
and
* Einstein famously showed that space and time are the same structure and it is only an illusion (to us) to perceive them as separate things. Which means "I will only simulate a second of the universe" is akin to saying "I will only simulate 1 cm3 of the universe", both are incomplete simulations of the universe but the latter makes it more evident.
If you are in a simulator, you have no idea the rate your 'outer universe' is running your 'cpu clock'. Thus it is not a valid argument that your universe could not be held in that outer one.
I cannot give a formal proof to it but at the same time this feels so ... obvious?
Edit: I'm not going to complain about the downvotes but they also didn't prove s*it, lol.
Since the gloves are off now ...
"As anticipated, since EI,U ≫ EU , there simply is not enough energy within the entire observable Universe to simulate another similar universe down to the Planck scale, in the sense that there are not even remotely available resources to store the data and even begin the simulation."
It would be very stupid to even consider that a complete simulation of X could be carried out from within X and using only elements present in X.