For (1) the multiverse needs to be immensely larger than our universe, by a factor of at least 10^10^6 or so “instances”. The exact double exponent depends upon how closely people have to match before it’s reasonable to consider them to be essentially the same person. Perhaps on the order of millions of data points is enough, maybe more are needed. Evidence for MWI is nowhere near strong enough to justify this level of granularity in the state space and it doesn’t generalize well to space-time quantization so this probably isn’t enough. Tegmark’s hypothesis would be fine, though.
You don’t really need assumption (2). Simulations are not required, all it takes is any nonzero weight (no matter how small) of you not actually dying given each timeline of preceding experience. That includes possibilities like “it was all actually a dream”, a physical mock-up of your life, drug-induced states, and no doubt unboundedly many that none of us can imagine.
(3) is definitely required. With (1) there are almost certainly enormous numbers of people essentially identical to you and your experiences, who have the experience of dying and then waking up and you don’t know whether you’re going to turn out to be one of them, but those are immensely outweighed by those who don’t live on.
Sure, those who do live on will think “wow I wasn’t expecting this!” and they will remember being you but without (3) they are actually someone else and their future will almost certainly be different from anything you would have experienced had you lived.
For (1) the multiverse needs to be immensely larger than our universe, by a factor of at least 10106 or so “instances”. The exact double exponent depends upon how closely people have to match before it’s reasonable to consider them to be essentially the same person. Perhaps on the order of millions of data points is enough, maybe more are needed. Evidence for MWI is nowhere near strong enough to justify this level of granularity in the state space and it doesn’t generalize well to space-time quantization so this probably isn’t enough.
Why? Even without unphysically ordering arbitrary point-states, isn’t the whole splitting behavior creates at least all subjectively-distinguishable instances?
I’m not saying that it’s impossible, just that we have no evidence of this degree of multiplicity. Even if the MWI interpretation was correct, the underlying state space could be very much coarser than this thought experiment requires without any effect on experimental observations at all. Or something even weirder! Quantum theories are an approximation, and pushing an approximation to extremes usually gives nonsense.
Saying that there are literally uncountably infinite many real states is going far beyond the actual evidence. We don’t—and can’t—have any evidence of actual infinity or indeed any physically existing entities of number anything like 10^million.
Unfortunately the nature of reality belongs to the collection of topics that we can’t expect the scientific method alone to guide us on. But perhaps you agree with that, since in your second paragraph you essentially point out that practically all of mathematics belongs to the same collection.
For (1) the multiverse needs to be immensely larger than our universe, by a factor of at least 10^10^6 or so “instances”. The exact double exponent depends upon how closely people have to match before it’s reasonable to consider them to be essentially the same person. Perhaps on the order of millions of data points is enough, maybe more are needed. Evidence for MWI is nowhere near strong enough to justify this level of granularity in the state space and it doesn’t generalize well to space-time quantization so this probably isn’t enough. Tegmark’s hypothesis would be fine, though.
You don’t really need assumption (2). Simulations are not required, all it takes is any nonzero weight (no matter how small) of you not actually dying given each timeline of preceding experience. That includes possibilities like “it was all actually a dream”, a physical mock-up of your life, drug-induced states, and no doubt unboundedly many that none of us can imagine.
(3) is definitely required. With (1) there are almost certainly enormous numbers of people essentially identical to you and your experiences, who have the experience of dying and then waking up and you don’t know whether you’re going to turn out to be one of them, but those are immensely outweighed by those who don’t live on.
Sure, those who do live on will think “wow I wasn’t expecting this!” and they will remember being you but without (3) they are actually someone else and their future will almost certainly be different from anything you would have experienced had you lived.
Why? Even without unphysically ordering arbitrary point-states, isn’t the whole splitting behavior creates at least all subjectively-distinguishable instances?
I’m not saying that it’s impossible, just that we have no evidence of this degree of multiplicity. Even if the MWI interpretation was correct, the underlying state space could be very much coarser than this thought experiment requires without any effect on experimental observations at all. Or something even weirder! Quantum theories are an approximation, and pushing an approximation to extremes usually gives nonsense.
Saying that there are literally uncountably infinite many real states is going far beyond the actual evidence. We don’t—and can’t—have any evidence of actual infinity or indeed any physically existing entities of number anything like 10^million.
Unfortunately the nature of reality belongs to the collection of topics that we can’t expect the scientific method alone to guide us on. But perhaps you agree with that, since in your second paragraph you essentially point out that practically all of mathematics belongs to the same collection.