Probability of pools freezing in summer

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SUMMARY

The discussion centers on the hypothetical scenario where the reduced Planck constant, \(\hbar\), is set to 1, leading to the assertion that one out of every 1000 pools would freeze in summer. The conversation highlights the implications of a significantly larger \(\hbar\) value, specifically \(10^{16}\) times greater than its actual value of approximately \(4.5 \times 10^{-16} \text{eV}\cdot\text{s}\). This change would introduce quantum uncertainty effects on macroscopic objects, fundamentally altering physical behaviors.

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ShayanJ
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One of my classmates asked an interesting question that I have no idea how to deal with. Prove that if ##\hbar=1##, then of every 1000 pools, one will freeze in summer!
I really can think of nothing at all. Any suggestions?
Thanks
 
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Well, since \hbar\approx 4.5\times10^{-16}\text{eV}\cdot\text{s}, then obviously you would see quantum uncertainty even for macroscopic objects if \hbar was 10^{16} times larger.
 
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