I Vacuum energy and Energy conservation

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Vacuum energy fluctuations involve the temporary creation and destruction of virtual particles, which some physicists argue may challenge energy conservation due to the energy-time uncertainty principle. However, this claim is contested, with participants asserting that these fluctuations do not violate energy conservation laws. The discussion highlights the need for valid references to support claims about vacuum fluctuations and energy conservation. The thread was ultimately closed due to the lack of credible sources. Further clarification or references are encouraged for a more informed discussion.
Ebi Rogha
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I understand from Noether's theorem, energy is not conserved in big scale space-time (because space-time is not static in big scales).
Also, I have heard from physicists that vacuum energy fluctuation (creation and destruction of virtual particles) violates energy conservation. The reason, they justify, is based on uncertainty principle (energy-time form of uncertainty principle), energy can exist and disappear for a very short period of time.
Could somebody explain this in simple words please?
 
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Ebi Rogha said:
I have heard from physicists

This is not an acceptable referende. How are we to track that down and figure out where the misunderstanding is.

Ebi Rogha said:
Casimir experiment energy conservation violate energy conservation
They do not.
 
Vanadium 50 said:
They do not.
Thanks Vanadium 50
How about vacuum fluctuation, does it violate energy conservation?
 
Ebi Rogha said:
I have heard from physicists
As has already been pointed out, this is not a valid reference. Without a valid reference we have no basis for a discussion.

For that reason, I am closing this thread. @Ebi Rogha, if you have a reference, please PM me and I will look at it, and if it looks OK, I will reopen the thread so you can post it.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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