If they are simulating both, then I think they are simulating a lot of things. Could they be simulating Miami on a Monday morning? If the simulation states are represented with N bits and states of Miami can be expressed with ⇐ N bits then I think they could be. You just need to define a one-to-one map between the sequence of bit arrays to sensible sequences of states of Miami, which is guaranteed to exist (every bit array is unique and every state of Miami is unique). Extending this argument implies we are almost certainly in an accidental simulation.
Then what determines what ‘their time’ is? Does the order of the pages matter? Why would their time need to correspond to our space?
I suggest to stop treating this as a philosophical problem, and approach it as an engineering problem. (Philosophers are rewarded for generating smart-sounding sequences of words. Engineers are rewarded for designing technical solutions that work.) Suppose you have a technology of 24th century at your disposal, how exactly would you simulate “an old man walking his dog”? If it helps, imagine that this is your PhD project.
One possibility would be to get some atomic scanner, and scan some old man with his dog. If that is not possible, e.g. because the GDPR still applies in the 24th century, just download some generic model of human and canine physiology and run it—that is, simulate how the individual atoms move according to the laws of physics. This is how you get a simulation of “an old man walking his dog”.
Is it simultaneously a simulation of “a stick that magically keeps changing its size so that the size represents a binary encoding of an old man walking his dog”? Yes. But the important difference—and the reason why I called the stick “magical”—is that the behavior of the stick is completely unlike the usual laws of physics.
Like, if you want to compute the “old man walking his dog” at the next moment of time, you need to look at positions and momentum of all atoms, and then calculate their positions and momentum in the next fraction of second. Ignoring the computing power necessary to do this, the algorithm is kinda simple. But if you want to compute the “magical stick” at the next moment of time… the only way to do this is to decode the information stored in the current length of the stick, update the information, and then encode it again. In other words, the simulation of the old man and his dog is in some sense direct, while the simulation of the stick is effectively a simulation of the old man and his dog… afterwards transformed into the length of the stick. You are simulating a stick that “contains” the old man and his dog. Not a normal stick. (Similarly, you could simulate a magical “Monday morning Miami” that “contains” the old man and his dog, e.g. encoded as current positions of ants in the city. But you couldn’t simulate a normal Monday morning Miami like that. The ants would not move in the same pattern as normal ants do.)
tl;dr—“how exactly do you calculate the next moment of your simulation?” is the key question here
For your second question, observe in which direction of your simulated universe you can run computations. Imagine that as a god outside that universe, you are allowed to make exactly one intervention: to insert into the universe at some point a computer that will (within the universe) compute e.g. the prime numbers. Ok, so… here is the place where you inserted the computer… and where exactly do you expect that the results (the computed prime numbers) will appear? That is the in-universe direction of time.
If you inserted a computer into our universe at some place on Earth, the logical place to look for the results would be the same place on Earth, some moment later in the future. If you insert a computer into a realistic comic book, the place to look for the results is a few pages later to the right (or to the left if it is a Japanese manga).
I suggest to stop treating this as a philosophical problem, and approach it as an engineering problem. (Philosophers are rewarded for generating smart-sounding sequences of words. Engineers are rewarded for designing technical solutions that work.
How do you tell what works? Did someone invent a consciousness detector?
I suggest to focus on the technical difficulties of designing the stick whose length happens to encode the mental state of an old man walking his dog, without somehow simulating the old man at the same time.
Imagining such stick… is kinda easy, because imagination is not constrained by being logically consistent. I can imagine that the stick just happens to have the right length all the time, without asking myself by which mechanism such thing might possibly happen. Even if we assume amazing sci-fi mechanisms of the 24th century, thinking about technology still makes us focus on “how”.
(Similar approach can be applied to other philosophical questions. Such as: how would you design a robot that has a free will? How would you detect which robots have a free will, and which ones don’t?)
If they are simulating both, then I think they are simulating a lot of things. Could they be simulating Miami on a Monday morning? If the simulation states are represented with N bits and states of Miami can be expressed with ⇐ N bits then I think they could be. You just need to define a one-to-one map between the sequence of bit arrays to sensible sequences of states of Miami, which is guaranteed to exist (every bit array is unique and every state of Miami is unique). Extending this argument implies we are almost certainly in an accidental simulation.
Then what determines what ‘their time’ is? Does the order of the pages matter? Why would their time need to correspond to our space?
Observe the flow of causality/information.
I suggest to stop treating this as a philosophical problem, and approach it as an engineering problem. (Philosophers are rewarded for generating smart-sounding sequences of words. Engineers are rewarded for designing technical solutions that work.) Suppose you have a technology of 24th century at your disposal, how exactly would you simulate “an old man walking his dog”? If it helps, imagine that this is your PhD project.
One possibility would be to get some atomic scanner, and scan some old man with his dog. If that is not possible, e.g. because the GDPR still applies in the 24th century, just download some generic model of human and canine physiology and run it—that is, simulate how the individual atoms move according to the laws of physics. This is how you get a simulation of “an old man walking his dog”.
Is it simultaneously a simulation of “a stick that magically keeps changing its size so that the size represents a binary encoding of an old man walking his dog”? Yes. But the important difference—and the reason why I called the stick “magical”—is that the behavior of the stick is completely unlike the usual laws of physics.
Like, if you want to compute the “old man walking his dog” at the next moment of time, you need to look at positions and momentum of all atoms, and then calculate their positions and momentum in the next fraction of second. Ignoring the computing power necessary to do this, the algorithm is kinda simple. But if you want to compute the “magical stick” at the next moment of time… the only way to do this is to decode the information stored in the current length of the stick, update the information, and then encode it again. In other words, the simulation of the old man and his dog is in some sense direct, while the simulation of the stick is effectively a simulation of the old man and his dog… afterwards transformed into the length of the stick. You are simulating a stick that “contains” the old man and his dog. Not a normal stick. (Similarly, you could simulate a magical “Monday morning Miami” that “contains” the old man and his dog, e.g. encoded as current positions of ants in the city. But you couldn’t simulate a normal Monday morning Miami like that. The ants would not move in the same pattern as normal ants do.)
tl;dr—“how exactly do you calculate the next moment of your simulation?” is the key question here
For your second question, observe in which direction of your simulated universe you can run computations. Imagine that as a god outside that universe, you are allowed to make exactly one intervention: to insert into the universe at some point a computer that will (within the universe) compute e.g. the prime numbers. Ok, so… here is the place where you inserted the computer… and where exactly do you expect that the results (the computed prime numbers) will appear? That is the in-universe direction of time.
If you inserted a computer into our universe at some place on Earth, the logical place to look for the results would be the same place on Earth, some moment later in the future. If you insert a computer into a realistic comic book, the place to look for the results is a few pages later to the right (or to the left if it is a Japanese manga).
How do you tell what works? Did someone invent a consciousness detector?
I suggest to focus on the technical difficulties of designing the stick whose length happens to encode the mental state of an old man walking his dog, without somehow simulating the old man at the same time.
Imagining such stick… is kinda easy, because imagination is not constrained by being logically consistent. I can imagine that the stick just happens to have the right length all the time, without asking myself by which mechanism such thing might possibly happen. Even if we assume amazing sci-fi mechanisms of the 24th century, thinking about technology still makes us focus on “how”.
(Similar approach can be applied to other philosophical questions. Such as: how would you design a robot that has a free will? How would you detect which robots have a free will, and which ones don’t?)
I think it can be applied to free will and doesn’t lead to the sceptical conclusion usual round here.