On Friday, June 5, 2020 at 7:31:56 PM UTC-6, Alan Grayson wrote:
>
>
>
> On Friday, June 5, 2020 at 5:07:58 PM UTC-6, Bruce wrote:
>>
>> On Sat, Jun 6, 2020 at 3:11 AM smitra <smi...@zonnet.nl> wrote:
>>
>>>
>>> There obviously do exist quantum fluctuations. A down to Earth example 
>>> is Johnson noise. Connect a sensitive voltmeter to a resistor and you'll 
>>> detect fluctuations in the voltage. The average voltage is zero, but 
>>> there are fluctuations due to thermal motion of the electrons. If you 
>>> cool down the resistor these fluctuations will become smaller, but even 
>>> at absolute zero there will still be fluctuations in the voltage.
>>
>>
>>
>> Can you point to experimental evidence of this? As far as I know, 
>> absolute zero temperature is intrinsically unattainable.
>>
>>
>> These fluctuations at zero temperature are what we call "quantum 
>>> fluctuations" 
>>> in physics.
>>
>>
>>  
>> I think you are confusing the zero point energy of quantum fields with 
>> "quantum fluctuations". The zero point energy, whatever it might be, does 
>> not "fluctuate". "Fluctuate means change with time, and the zero point 
>> energy is just a value, and it does not change with time -- it does not 
>> "fluctuate".
>>
>
> Another point worth mentioning is that when a quantum system is measured, 
> we get some specific eigenvalue. And if THAT system is measured again, the 
> measured value remains the same. No fluctuation. (I forget exactly why 
> that's the case.). But if we measure a different system represented by the 
> same wave function, the measured value changes. So the message is, again, 
> that no single system fluctuates. AG 
>

Oh, now I recall.  After the measurement, the system's state is the 
eigenfunction of the eigenvalue measured. Previously, it was in a 
superposition of states. So when we measure that specific system again, the 
probability of measuring the same eigenvalue is unity. AG 

>
>> Bruce
>>
>>
>> Now I remember an old discussion with Bruce on this list 
>>> about this, and insisted that what I called quantum fluctuations are 
>>> actually "thermal fluctuations at 0 K". But at 0 K the system is in the 
>>> ground state, so it doesn't matter what you name you give to the 
>>> fluctuations, these are purely quantum mechanical in nature, they don't 
>>> arise from an initial randomness in the initial state.
>>>
>>> Saibal
>>>
>>

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