On 7/30/2025 11:12 PM, Alan Grayson wrote:
On Wednesday, July 30, 2025 at 12:26:25 PM UTC-6 Brent Meeker wrote:
Naive indeed! They're in both.
Brent
LOL. Or "in" neither. But Clark denies the SG silver atoms are 3D.
I thought he wrote the atoms were in 3-space. But not in Hilbert
space. The thing to keep in mind that 3-space and Hilbert space are
both mathematical constructs that capture some aspects of reality.
He also denies that many of my questions about mathematical proofs
about Hilbert spaces are non existent, and must be resolved
experimentally, such as orthogonality of the basis vectors. But as BK
indicated, the proofs I am seeking reside in Dirac's book on quantum
mechanics (which I recently purchased). AG
The whole point of the mathematical constructs is that you can use them
to make inferences and, the extent your construct fits reality, your
inferences will match reality.
Brent
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