Exact meaning of the Uncertainty Relations

In summary, the conversation centers around the misconception of the Heisenberg uncertainty principle and its application in quantum field theory. There is a discussion on the nature of uncertainty and its relationship to measurements, as well as references to further reading on the topic. The main question being asked is whether the ground state of the quantum field fluctuates and if so, is this due to the Heisenberg uncertainty principle or another factor. The Lamb Shift in the hydrogen atom is mentioned as experimental evidence for vacuum fluctuations. The participants agree that further study is needed to fully understand the concept.
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In another thread I quoted a paper Bill pointed me to. It included the statement "It is the measurement results that fluctuate, not the underlying object." Bill indicated that this was a misconception but would need a new thread to discuss it.

So please discuss...

Thanks Andrew
 
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Thanks Simon, I have had a quick look at the links and will study them in more carefully later. I am not sure though that they get me much closer to understanding the meaning of Heisenberg's uncertainty (HUP) in the context of vacuum fluctuations in QFT. It is interesting that in Zee's QFT in a Nutshell and Lancaster and Blundell's QFT for the Gifted Amateur the references to HUP or quantum fluctuations are either non-existent or relate to virtual particles!

I think what I am struggling with is does the QFT vacuum (ground) state fluctuate (which I am told here it does) and if so is this due to the HUP or some other effect?
If I have understood correctly the Lamb Shift in the hydrogen atom is taken a experimental proof of the vacuum fluctuations.

Clearly I need to study more. Thanks for your input.

Regards Andrew
 

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