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Schrödinger's Thermometer: New Uncertainty Principle

EnolaGaia

I knew the job was dangerous when I took it ...
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Bizarre Physics Phenomenon Suggests Objects Can Be Two Temperatures at Once

The famous thought experiment known as Schrödinger's cat implies that a cat in a box can be both dead and alive at the same time — a bizarre phenomenon that is a consequence of quantum mechanics.

Now, physicists at the University of Exeter in England have found that a similar state of limbo may exist for temperatures: Objects can be two temperatures at the same time at the quantum level. This weird quantum paradox is the first completely new quantum uncertainty relation to be formulated in decades. ...

The new quantum uncertainty, which states that the more precisely you know temperature, the less you can say about energy, and vice versa, has big implications for nanoscience, which studies incredibly tiny objects smaller than a nanometer. This principle will change how scientists measure the temperature of extremely small things such as quantum dots, small semiconductors or single cells, the researchers said in the new study, which was published in June in the journal Nature Communications. ...

"In the quantum case, a quantum thermometer ... will be in a superposition of energy states simultaneously,"Harry Miller, one of the physicists at the University of Exeter who developed the new principle, told Live Science. "What we find is that because the thermometer no longer has a well-defined energy and is actually in a combination of different states at once, that this actually contributes to the uncertainty in the temperature that we can measure."

In our world, a thermometer may tell us an object is between 31 and 32 degrees Fahrenheit (minus 0.5 and zero degrees Celsius). In the quantum world, a thermometer may tell us an object is both those temperatures at the same time. The new uncertainty principle accounts for that quantum weirdness. ...

FULL STORY: https://www.livescience.com/63595-schrodinger-uncertainty-relation-temperature.html
 
I do try to follow this kind of stuff as best I can, but I might have got hold of the wrong end of the stick here...does this new uncertainty have implications for entropy? Anybody?
 
I don't know whether uncertainty with regard to temperature measurements necessarily implies anything about the more fundamental issue of entropy.
 
Makes sense to me.

If a quantum particle can be in 2 places at once at the same time (ref. the double slit experiment) then it is unlikely that both places will have the same temperature so the particle will have to exhibit both temperatures.

A sort of temperature version of quantum entanglement
 
I don't know whether uncertainty with regard to temperature measurements necessarily implies anything about the more fundamental issue of entropy.

There will be heated discussions about it though which will no doubt advance the heat death of the universe.
 
My feet are quite often cold, while my hands are warm. Is that the same thing?
 
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