On 12/19/2021 5:22 PM, John Clark 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 eigenvalueof 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.
A temperature operator, which would be matrix, might very well return
72degF as the eigenvalue of a state eigenvector. It's Hermitean
operators that have eigenvalues and eigenvectors. Decoherence theory
shows that interactions with an environment approximately diagonalize a
density matrix, I don't think anyone has shown how the Hamiltonian of
the system+instrument+environment does this; they just sort of assume
that it does. Zeh has proposed a Darwinian selection like effect but I
don't see how it's worked out as the level of the Schroedinger eqn.
Yes, it's empirically supported; So's the Schroedinger equation. But
it's part of the application of the Schroedinger equation. It's not in
the equation itself.
Brent
If it were not true Schrodinger's Wave would be completelyuseless and
there would be no reason any physicist would bother to calculate it.
John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>
eqa
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