On 09 Jan 2013, at 12:10, Quentin Anciaux wrote:

Hi,

let us start with the proposed QS experiment by Tegmark,

I publish this before. It made some physicists rather nervous against me, so that I find worthy to vindicate it. I propose the comp suicide and immortality even well before. OK, this is only anecdote. But you can see that I made the "Tegmark point" in my 1991 "Mechanism and Personal Identity" paper, i.e. the point that the witnesses are increasingly astonished, and not the experimenter, who can actually easily predict that astonishment. I made that point to illustrate the relativity of the points of view in the comp setting, and the fact that the HP events (the first person white rabbits) although first person impossible, are still possible and highly probable in the 3p view of the first person of others. David Nyman's heuristic makes me think that they could be zombie, but I am not sure this can work with comp. It is not an important point, as we don't need this for the UDA.


a QS machine with a 99/100 chance of a *perfect* kill (so let's put aside HP failure or whatever so to have either the experimenter is killed with the given probabilities or it is not, no in between, so in 1/100 he is not killed and perfectly well, 99/100 he is killed).

You are a witness of such experiment, and you're asked to make a bet on the experimenter surviving (or not).

So you bet 100$, if you bet on the experimenter surviving, if he survive, you'll get 200$, if he does not you'll lose your bet, likewise if you bet on him die.

What you should do contrary to what seems reasonable, is to bet on the experimenter will survive for the following reason:

If MWI is true:

1st Test: in 99/100 worlds you lose 100$ (and the bet ends here, there is no experimenter left for a second round), in 1/100 worlds you win 200$ 2nd Test: well... you cannot play again in the 99/100 worlds where you did lose 100$, so you start already with 200$ in your pocket for this 2nd test, so you should do the same, no here in 99/100 worlds, you did make a draw (you put 100$ in 1st test + 100$ win on the 1st test - 100$ you did lose now because the experimenter is dead), in 1/100 you win again 200$, that make 300$ in your pocket.

From the 3rd test on, you can only get richer, weither the experimenter lives from your POV or not.

In QM+collapse, if the guy luckily survive two tests, you win money... you'll only lose money if he is killed at the first test.


So contrary to what you may think, you should bet the experimenter should live, because in MWI, it is garanteed that you'll win money in a lot branches after only two succeeded test, and as in QM +collapse, only the 99/100 of the first test lose money, all the others either make no loss or win money.


OK. But the probabilities for any amount of money that you can win individually remains the same with MWI and collapse. MWI is just more "fair ontologically", because all the possible winners exist, and indeed the descendent of the two first win have got something, but they got it with the same probability with the collapse, at each state of the procedure. They just don't exist, in the "non lucky" collapse scenario. You give only a reason to prefer more, or to fear more (if you think to the bad rare events), the MWI than collapse.

What would you say to someone telling you that he prefers collapse, as with collapse, you have 1/100 to win some dollars, and 99/100 to lose, but there will be only one winner possible and only one loser. And in the MWI, there is always one winner and 99 losers! (times infinity!). So if the question is in making more people happy and less people unhappy, may be collapse is preferable at the start (with that kind of reasoning).

For the witnesses, your bet is more "socially fair", but not in way making possible for them to test MWI or ~MWI.

Bruno




Quentin





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