On Thursday, July 31, 2025 at 12:37:20 PM UTC-6 Brent Meeker wrote:
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. *I thought it was the opposite, in Hilbert but not in 3-space. But he did state several times that my questions about Hilbert space could only be resolved by experiments, not mathematical proofs. I was sure this was mistaken, and it was. AG* 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 -- 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 visit https://groups.google.com/d/msgid/everything-list/c9ff8f90-687c-44d2-a8d4-79083085f52an%40googlegroups.com.
