- #1
Talisman
- 95
- 6
Hi all,
Suppose we have some particle in state $$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle + |D\rangle)$$
It starts interacting with its environment, including Experimenter 1 (E1). From Experimenter 2's viewpoint, this can be represented as:
$$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle \otimes |Env_U\rangle \otimes |E1_U\rangle + |D\rangle \otimes |Env_D\rangle \otimes |E1_D\rangle)$$
Because of decoherence, FAPP he can also consider it to be a classical mixture of the two outcomes I guess. But in principle there may be some interference experiment he could do that would reveal the superposition. On the other hand, once he interacts with the system, from his perspective the joint system (including himself) should be represented as one or the other "branch," say:
$$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle \otimes |Env_U\rangle \otimes |E1_U\rangle \otimes |E2_U\rangle)$$
Doing an interference experiment no longer makes sense, even in principle. Any such experiment would have to include his "other self(s)," which is meaningless from "within the branch."
My first question is: is this considered well-accepted within MWI? If so, then from E2's perspective, he is the only "observer" in a particular sense (i.e., only when he interacts with the system can -- and must -- he stop treating it as a superposition.) This is straightforward and unsurprising perhaps, but I want to clarify.
My second question (really, observation that you should feel free to poke holes in) is a metaphysical one, so strictly speaking doesn't belong on this forum.
[Moderator's note: And for that reason, it has been deleted.]
Suppose we have some particle in state $$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle + |D\rangle)$$
It starts interacting with its environment, including Experimenter 1 (E1). From Experimenter 2's viewpoint, this can be represented as:
$$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle \otimes |Env_U\rangle \otimes |E1_U\rangle + |D\rangle \otimes |Env_D\rangle \otimes |E1_D\rangle)$$
Because of decoherence, FAPP he can also consider it to be a classical mixture of the two outcomes I guess. But in principle there may be some interference experiment he could do that would reveal the superposition. On the other hand, once he interacts with the system, from his perspective the joint system (including himself) should be represented as one or the other "branch," say:
$$|\Psi\rangle=\frac{1}{\sqrt{2}} (|U\rangle \otimes |Env_U\rangle \otimes |E1_U\rangle \otimes |E2_U\rangle)$$
Doing an interference experiment no longer makes sense, even in principle. Any such experiment would have to include his "other self(s)," which is meaningless from "within the branch."
My first question is: is this considered well-accepted within MWI? If so, then from E2's perspective, he is the only "observer" in a particular sense (i.e., only when he interacts with the system can -- and must -- he stop treating it as a superposition.) This is straightforward and unsurprising perhaps, but I want to clarify.
My second question (really, observation that you should feel free to poke holes in) is a metaphysical one, so strictly speaking doesn't belong on this forum.
[Moderator's note: And for that reason, it has been deleted.]
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