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From: Wei Dai <weidai.domain.name.hidden>

Date: Fri, 20 Feb 1998 02:47:47 -0800

On Fri, Feb 20, 1998 at 08:00:16PM +1000, Mitchell Porter wrote:

*> Did you intend to use moduli squared, rather than moduli?
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*> What motivates this expression?
*

Yes, they should be squared. The motivation is that the RHS treats PSI_0

and PSI_1 as seperate worlds with no interference between them. (This is

circular, but I don't know how to explain it better.)

*> In any case, in order make the condition that "there is little
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*> interference" precise, you will need to say something like:
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*>
*

*> There is little interference when |LHS - RHS| < epsilon.
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*>
*

*> In other words, you will need to introduce an arbitrary parameter
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*> into the definition of "world". I believe similar problems bedevil
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*> attempts to derive the projection postulate from decoherence.
*

Well the idea of independent, non-interfering worlds is an approximation

of reality to help intuition and perhaps make computation easier. The

epsilon says how close that approximation is to reality.

*> There was also something unspecified: what sort of functions
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*> are PSI_0(r,t) and PSI_1(r,t)? For example, do you require that
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*> they also be solutions to the Schroedinger equation? Or are they
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*> just any time-varying functions at all?
*

I think they do have to satisfy the Schroedinger equation. Otherwise it

wouldn't make much sense to think of them as worlds.

Anyway, I am not an expert or proponent of the many-worlds interpretation.

I'm just trying to explain my admittedly shallow understanding of it, more

in hopes of being corrected than anything else. Please take what I say

with a grain of salt.

Received on Fri Feb 20 1998 - 02:48:29 PST

Date: Fri, 20 Feb 1998 02:47:47 -0800

On Fri, Feb 20, 1998 at 08:00:16PM +1000, Mitchell Porter wrote:

Yes, they should be squared. The motivation is that the RHS treats PSI_0

and PSI_1 as seperate worlds with no interference between them. (This is

circular, but I don't know how to explain it better.)

Well the idea of independent, non-interfering worlds is an approximation

of reality to help intuition and perhaps make computation easier. The

epsilon says how close that approximation is to reality.

I think they do have to satisfy the Schroedinger equation. Otherwise it

wouldn't make much sense to think of them as worlds.

Anyway, I am not an expert or proponent of the many-worlds interpretation.

I'm just trying to explain my admittedly shallow understanding of it, more

in hopes of being corrected than anything else. Please take what I say

with a grain of salt.

Received on Fri Feb 20 1998 - 02:48:29 PST

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