Thursday, April 16, 2026

A method for living forever

Maybe you have a cancer that would kill you in three months.

So, get a powerful rocket.

Accelerate close to the speed of light, and make a one light-year round-trip journey that from your reference frame takes about a month, but takes slightly over a year from the point of view of the earth. If your speed during the first journey was v1, now repeat the same trip with a speed of v2 = (3c2+v12)1/2/2. Then repeat with a speed of v3 = (3c2+v22)1/2/2. And so on, forever.

Fact: Each journey will take a bit more than a year of earth-time but only half of the you-time of the previous. So the total you-time of your journeying will be 1 + 1/2 + 1/4 + 1/8 + ... = 2 months. You’ll never die. At every future time, you will be alive.

But this is pointless. You might as well stay on earth, and then you’ll have three months of you-time. Three months of you-time followed by death is better than two months of you-time with no death.

6 comments:

SMatthewStolte said...

I tried to explain this plan to a friend of mine when I was in junior high school a long time ago, but my plan involved a black hole (and wasn’t worked out mathematically) and my friend couldn’t get over the fact that the black hole would actually kill me. Only by consulting my memory, though, I cannot tell you for sure whether I thought up this plan because I considered it to be genuinely desirable or just because playing around with relativistic thought experiments is fun. So I’m not sure whether my junior-high self shares your intuition about preferences.

Alexander R Pruss said...

And in this case, you get a similar problem: the accelerations will kill you.

Dominic McCarty said...

There might be one upshot to this plan: It helps you stay alive until a cure for cancer is discovered. :)

Alexander R Pruss said...

Fair enough, but only if you stop long enough to check on medical progress.

Canoil said...

"Three months of you-time followed by death is better than two months of you-time with no death."

This, to me, sounds intuitively and obviously true, I would certainly prefer three months of me-time + death over two months stretched forever. However, I wonder how you'd reconcile this with a Thomistic view of existence always being preferable to non-existence? Even if it's existence in a frozen state, is being itself not a good worthy of any cost for the Thomist? I feel like I remember hearing this kind of line of reasoning from you back when you discussed the Horrific Thesis of Hell, but maybe I'm misremembering.

Alexander R Pruss said...

Two points. First, if eternalism is true, then in both scenarios you exist simpliciter, and "existence at a time" isn't really existence, but just location-at-a-time, much like location-at-a-point. And I think eternalism is true. It could still be the case that existence-at-a-time is always good, but it takes more of an argument.

But even if existence-at-a-time is always good, it only follows that it is always better to tack on more time to a life. But if you have to change that life to tack on more time, it no longer follows. Thus, one would not have to say that a life of 80 years of vice is better than a life of 75 years of virtue. But one would have to say that 75 years of virtue followed by non-existence is worse than 75 years of virtue followed by 5 years of vice.a