Re: Infinitesimal Arithmetic



On May 16, 11:21 pm, David R Tribble <d...@xxxxxxxxxxx> wrote:
....
Actually, the HUP does hold for all objects, regardless of size.
It's just that the uncertainty of a macroscopic object relative to
its size is incredibly small compared to, say, that of an electron.

Yes, but isn't it academic to say HUP holds for macroscopic objects,
when measuring instruments inherently have a limited accuracy to
measure position, momentum, energy, etc.?

From the Wikipedia entry for HUD:

"This stipulates that the product of the uncertainties in position and
momentum is equal to or greater than about 10^(−35) joule-seconds.
Therefore, the product of the uncertainties only becomes significant
for regimes where the uncertainty in position or momentum measurements
is small. Thus, the uncertainty principle governs the observable
nature of atoms and subatomic particles while its effect on
measurements in the macroscopic world is negligible and can be usually
ignored."

I am absolutely not suggesting (a la Karl Popper) that quantum
mechanics and HUP is unverifiable for macroscopic objects, and
therefore not a valid theory of reality. Just that we have to know or
understand the limits of the theory.

.



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