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This question already has an answer here:

Suppose there’s a scalar field that permeates the universe.

Do quantum fluctuations really cause the field value ϕ to fluctuate, making the field value higher at some points in space and lower at some other points in space?

Some scientists argued that the quantum field is not fluctuating. The value of a field at a point is not precisely determined but it has nothing to do with fluctuations. $~$While some states that the value of a field at a point in space is constantly fluctuating.

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marked as duplicate by John Rennie, Jon Custer, Kyle Kanos, Aaron Stevens, ZeroTheHero Oct 19 '18 at 23:48

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Can you provide reference for the first statement - "Some scientists argued ... with fluctuations."? $\endgroup$ – Avantgarde Oct 16 '18 at 7:13
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    $\begingroup$ Fluctuating Here $~$;$~$ Not Fluctuating Here $\endgroup$ – Forge Oct 16 '18 at 7:55
  • $\begingroup$ Hi Forge. The question I've linked references vacuum fluctuations, but the same principle applies. The fluctuation is in the measurement of the field not in the field itself. $\endgroup$ – John Rennie Oct 16 '18 at 7:57
  • $\begingroup$ @JohnRennie “Do quantum fluctuations cause the field value to fluctuate at each point in space?” So from your comment, the answer to this question is No? $\endgroup$ – Forge Oct 16 '18 at 8:08
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    $\begingroup$ @Forge you need to read my answer to the linked question. If you make repeated measurements of some property of the field, energy or whatever, then you will in general measure a fluctuating value. But this fluctuation arises from the measurement process not from the field. The quantum field does not fluctuate. $\endgroup$ – John Rennie Oct 16 '18 at 14:01