On 12/20/2021 1:03 AM, smitra wrote:
On 20-12-2021 03:05, Bruce Kellett wrote:
On Mon, Dec 20, 2021 at 12:23 PM John Clark <[email protected]>
wrote:
On Sun, Dec 19, 2021 at 7:59 PM Brent Meeker <[email protected]>
wrote:
On 12/19/2021 5:25 AM, John Clark wrote:
By contrast the Many Worlds Theory only makes one assumption,
Schrodinger's Equation means what it says. So Many Worlds wins.
_> It also makes the assumption that the eigenvalues of a
measurement are realized probabilistically._
What is the eigenvalue of a temperature of 72°F? It doesn't have one.
A measurement doesn't have an eigenvalue but a matrix does, such as
the one that describes the Schrodinger Wave. And no quantum
interpretation needs to assume there is a relationship between the
square of the absolute value of that wave and probability because it
is observed to be true.
The Born Rule cannot be derived from the Schrodinger equation; it has
to be added as a further independent assumption. So it is not true
that Many Worlds makes only one assumption. It requires just as many
assumptions as collapse theories.
Bruce
Yes, but with those assumptions it yields an unambiguous framework for
a fundamental theory. In case of collapse theories, you're stuck with
a phenomenological theory that cannot be improved, because you are not
allowed to describe observers and observations within the collapse
frameworks. It's a bit like the difference between statistical
mechanics and thermodynamics, if in the latter case textbooks were to
insist that you are only allowed to consider certain types of heat
engines that operate in the quasistatic limit.
Yes, but it is decoherence theory that extends the theory of measurement
beyond just phenomenological projectors. And it doesn't reach to
explaining the probabilistic nature of QM. ISTM that the steps in
Everett's account of measurement where instrument variables become
correlated with quantum system variables and cross terms form
superpositions are set to zero are almost has "hand wavy" as the CI
projection operators. They seem to be just motivated by "This must be
the way the Schroedinger equation works for macroscopic instruments in
order that we get the same answer as the CI projector after we assume
Born's rule."
Brent
--
You received this message because you are subscribed to the Google Groups
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/490c196c-88cd-4e93-da5b-64544a22cb28%40gmail.com.
