If the ‘afterlife’ is infinite, then it will have infinitely more integral measure than the normal life.
Infinite as in “if you succeeded to make it into situation X, you are guaranteed to live forever” or merely potentially infinite, as in “for every situation X where you are alive, in some Everett branch will survive it” (in other words, you never run out of quantum immortality)? In the latter version, the integral of the ‘afterlife’ may still be smaller than the integral of ‘normal life’.
During a person’s ‘normal’ life the number of Everett branches containing that person approaches infinity. The way mortality currently works is that there’s a certain probability that you will die during each year, let’s say it’s 0.01 when you’re 20. That percent of Everett branches gets “eliminated” each year. This probability of dying increases each year, until it approaches 1 when you’re close to the age of 120. Let’s ignore life-extending technologies. In Copenhagen interpretation the probability that you’re alive after the age of 120 is effectively zero. In MWI there are few branches that survive beyond this, some of these for very long, potentially forever. So I agree with you, that the intergral of branches during a person’s normal life is probably greater than that of the smaller number of branches that survive almost forever. This is true even if the number of branches or the length of them is infinite, didn’t Cantor prove that there are different sized infinities?
Is this what you were after? I’m a bit confused. Tell me if I made any mistakes.
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Infinite as in “if you succeeded to make it into situation X, you are guaranteed to live forever” or merely potentially infinite, as in “for every situation X where you are alive, in some Everett branch will survive it” (in other words, you never run out of quantum immortality)? In the latter version, the integral of the ‘afterlife’ may still be smaller than the integral of ‘normal life’.
Good point.
During a person’s ‘normal’ life the number of Everett branches containing that person approaches infinity. The way mortality currently works is that there’s a certain probability that you will die during each year, let’s say it’s 0.01 when you’re 20. That percent of Everett branches gets “eliminated” each year. This probability of dying increases each year, until it approaches 1 when you’re close to the age of 120. Let’s ignore life-extending technologies. In Copenhagen interpretation the probability that you’re alive after the age of 120 is effectively zero. In MWI there are few branches that survive beyond this, some of these for very long, potentially forever. So I agree with you, that the intergral of branches during a person’s normal life is probably greater than that of the smaller number of branches that survive almost forever. This is true even if the number of branches or the length of them is infinite, didn’t Cantor prove that there are different sized infinities?
Is this what you were after? I’m a bit confused. Tell me if I made any mistakes.