Conservation of energy in quantum measurement

In summary: After all, we observe energy conservation in our own "world", not just in the overall "multiverse".There's no one-size-fits-all answer to this question, as the best way to treat measurement depends on the particular scenario. However, some treatments of measurement do guarantee conservation of energy. One example is the collapse picture of measurement, which postulates that the state of the system after the measurement is the same as the state before the measurement, even if the system and the agency employed for performing the measurement is taken together. This is done by invoking the principle of energy conservation, which states that the total energy in a system must be the same no matter how the system is changed. Though the quantum description does not
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  • #37
@Demystifier so conservation of energy could be violated at small microscopic scale due to uncertainty principle. Did I get it right?
 
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  • #38
It's not that simple.
 
  • #39
Demystifier said:
A recent related paper:
http://lanl.arxiv.org/abs/1609.05041
It points out that the standard conservation law is only a statistical law, which, by itself, is not sufficient to understand conservation of energy at the individual level.

The experiment described in the paper depended on the opening timing (the box was open only for a time T), but they didn't talk about uncertainty relation ΔTΔE:
https://arxiv.org/pdf/quant-ph/0105049v3.pdf

Am I missing something here?
 
  • #40
Ostrados said:
The experiment described in the paper depended on the opening timing (the box was open only for a time T), but they didn't talk about uncertainty relation ΔTΔE:
https://arxiv.org/pdf/quant-ph/0105049v3.pdf

Am I missing something here?
One can talk about ΔE without talking about ΔT.
 
  • #41
Demystifier said:
One can talk about ΔE without talking about ΔT.
One must talk about ΔE when talking about T.
 

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