On 10/28/2022 4:38 PM, Bruce Kellett wrote:
On Sat, Oct 29, 2022 at 10:27 AM Brent Meeker <meekerbr...@gmail.com>
wrote:
On 10/28/2022 3:06 PM, Bruce Kellett wrote:
Simply saying that QM as traditionally formulated considers
measurement
as a special process that os irreversible, doesn't cut it,
because
measurement is then not treated in terms of the fundamental
dynamics of
the theory, it is put in in an ad hoc way.
Lots of things are put into physics in an ad hoc way. The Born
rule is a prime example -- it is just
imposed on the quantum wave function in an ad hoc way -- it
cannot be derived from the fundamental theory.
But by Gleason's theorem it's the only consistent way to put a
probability measure on Hilbert space.
Who said we need a probability measure?
Because we observe that the same initial condition results in different
later conditions, but with predictable probability distributions.
That is as ad hoc as anything else; besides, unitary QM does not allow
for a probabilistic interpretation.
Not if you insist that all evolution is unitary, but that's why Born
added the projection postulate to connect the unitary evolution to
observation.
Brent
Bruce
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