Jack Mallah wrote:
> --- On Wed, 2/11/09, Brent Meeker <meeke...@dslextreme.com> wrote:
>> Indeed there seems to be a conflict between MWI of QM and the feeling of
>> consciousness. QM evolves unitarily to preserve total probability, which
>> implies that the splitting into different quasi-classical subspaces reduces
>> the measure of each subspace. But there's no perceptible diminishment of
>> consciousness. I think this is consistent with the idea that consciousness
>> is a computation, since in that case the computation either exists or it
>> doesn't. Two copies don't increase the measure of a computation and
>> reducing it's vector in Hilbert space doesn't diminish it.
> If that is so then how do you explain the Born rule?
The Born rule assumes you start with a normalized vector (i.e. ray), so it
calculates predicted probabilities conditional on the state preparation. After
each measurement, the vector is renormalized because the prediction is always
conditional on the present state. This is quite different from applying a
probability measure to the evolution of a multiverse in which decoherence
defines many different orthogonal subspaces, each of which gets a small
projection of the state vector of the multiverse.
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