By the zero one infinity rule, I also think it likely that there are infinite spacial dimensions. Just a few extra spacial dimensions should give you plenty of computing power to run a lower dimensional universe.
Why do you think there are only 3 or 4 or 5 or 6 or 8 or 12 or 42 or 248 or n spatial dimensions? If there actually are 42 spatial dimensions, I will accept it as the existence of God and clear evidence that he is a fan of Douglas Adams.
The extra dimensions could likely not impact our system of physics in any way we can detect. They are non-measurable sets.
Also, the Jargon File seems as likely a candidate for accidentally containing universal truth as anything.
In 1 or 2 dimensions, random walks return to the origin infinitely often. In 3 dimensions, they have but a 34% chance. There are nontrivial qualitative differences between numbers of spatial dimensions that we don’t see when we think “2? 3? 5? 179? It’s just a choice of N!”
Why do you think there are only 3 or 4 or 5 or 6 or 8 or 12 or 42 or 248 or n spatial dimensions?
I think we have good reason to believe that we are in 3 spatial dimensions. But as you say:
The extra dimensions could likely not impact our system of physics in any way we can detect.
What exactly is the point of these dimensions? I see no reason to concede extra dimensions to make the fact that we are living in a simulation more probable.
By the zero one infinity rule, I also think it likely that there are infinite spacial dimensions. Just a few extra spacial dimensions should give you plenty of computing power to run a lower dimensional universe.
Wow, I really am curious why you think this would apply to spacial dimensions.
Why do you think there are only 3 or 4 or 5 or 6 or 8 or 12 or 42 or 248 or n spatial dimensions? If there actually are 42 spatial dimensions, I will accept it as the existence of God and clear evidence that he is a fan of Douglas Adams.
The extra dimensions could likely not impact our system of physics in any way we can detect. They are non-measurable sets.
Also, the Jargon File seems as likely a candidate for accidentally containing universal truth as anything.
In 1 or 2 dimensions, random walks return to the origin infinitely often. In 3 dimensions, they have but a 34% chance. There are nontrivial qualitative differences between numbers of spatial dimensions that we don’t see when we think “2? 3? 5? 179? It’s just a choice of N!”
I think we have good reason to believe that we are in 3 spatial dimensions. But as you say:
What exactly is the point of these dimensions? I see no reason to concede extra dimensions to make the fact that we are living in a simulation more probable.