Now, I’ve pre-committed that after Omega offers me The Deal, I’ll make two quantum coin flips. If I get two tails in a row, I’ll two-box. Otherwise, I’ll one-box.
Omega predicted that and put the large box in a quantum superposition entangled with those of the coins, such that it will end up containing $1M if you get at least a head and containing an equal mass of blank paper otherwise.
Interesting. Why the equal mass? Omega would need Schrodinger’s box, that is, basically no interaction with the outside world lest it decohere. I’m not sure you could weigh it. Still, quantum entanglement and superposition are real effects that may have real-world consequences for a decision theory.
We can inflate a quantum event to macroscopic scales like with Schrodinger’s cat. You have vial of something reactive in the box to destroy the money, and a hammer triggered by a quantum event.
But isn’t that altering The Deal? If Omega is allowed to change the contents of the box after your choice, then it’s no longer a Newcomblike problem and just an obvious quid pro quo that any of the usual decision theories could handle.
I’m not sure I understand the setup. Can you cause entanglement with the coins in advance just by knowing about them? I thought it required interaction. I don’t think Omega is allowed that access, or you could just as easily argue that Omega could interact with the Chooser’s brain to cause the predicted choice. Then it’s no longer a decision; it’s just Omega doing stuff.
Omega predicted that and put the large box in a quantum superposition entangled with those of the coins, such that it will end up containing $1M if you get at least a head and containing an equal mass of blank paper otherwise.
Interesting. Why the equal mass? Omega would need Schrodinger’s box, that is, basically no interaction with the outside world lest it decohere. I’m not sure you could weigh it. Still, quantum entanglement and superposition are real effects that may have real-world consequences for a decision theory.
We can inflate a quantum event to macroscopic scales like with Schrodinger’s cat. You have vial of something reactive in the box to destroy the money, and a hammer triggered by a quantum event.
But isn’t that altering The Deal? If Omega is allowed to change the contents of the box after your choice, then it’s no longer a Newcomblike problem and just an obvious quid pro quo that any of the usual decision theories could handle.
I’m not sure I understand the setup. Can you cause entanglement with the coins in advance just by knowing about them? I thought it required interaction. I don’t think Omega is allowed that access, or you could just as easily argue that Omega could interact with the Chooser’s brain to cause the predicted choice. Then it’s no longer a decision; it’s just Omega doing stuff.