4 ms·
> provided the average uncertainty is above the limit > reduces the uncertainty in one observable by increasing the uncertainty in the other observable Seems
by xref 3y ago
> provided the average uncertainty is above the limit
> reduces the uncertainty in one observable by increasing the uncertainty in the other observable
Seems like you’re both saying the same thing with different wording
- eigenket 3y agoI somewhat disagree. You can check out the Heisenberg uncertainty principle here https://en.wikipedia.org/wiki/Uncertainty_principle https://en.wikipedia.org/wiki/Uncertainty_principle As you can see there is no mention of time in any of the standard inequalities (excluding the energy/time "uncertainty principle" which is not relevant here). You can not go below the limit imposed by the Heisenberg uncertainty principle for any duration of time without disproving quantum mechanics. What LIGO does is break some metrological "limit" which is derived by combining the uncertainty principle with some assumptions about what your measurement procedure looks like and what your states are. Unsurprisingly if you use different states you can break this "limit".
- nyssos 3y agoIt's not an average. The limit is σ_x * σ_p >= hbar/2, where x and p are any two conjugate variables.