# Quantum Fluctuations of the vacuum

In this video we see a visualization of quantum fluctuations. What equations underlie this visualization? And how exactly is it related to quantum field theory? And what is the open problem he talks about saying about this visualization?

• "The simulation of vacuum fluctuations is by Derek Leinweber". – AccidentalFourierTransform Sep 21 '18 at 22:54
• I enjoyed watching the video just now! Though he doesn't explicitly say so, it seems clear to me, given the mention of the \$1M prize, that the open problem he refers to is Yang-Mills existence and mass-gap problem – Alfred Centauri Sep 22 '18 at 1:53
• As a pedantic aside, the philosopher side of me takes issue with the assertion that "it's a computer simulation of absolutely nothing". – Alfred Centauri Sep 22 '18 at 1:57
• Just guessing here – I remember this picture, and if I remember correctly, that is a sample configuration which was encountered among other smilar sample configurations in the Metropolis-Hastings simulation of the QCD vacuum. – Prof. Legolasov Sep 22 '18 at 4:17

1) The basic equation is the Energy-time uncertainty relation: $$\Delta E \Delta t >= \bar{h}/2$$