Could very low energy virtual particles last a very long time?

johne1618
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By looking at layman's books on physics I have picked up the idea that "virtual" particle-antiparticle pairs continually pop out of the vacuum and then back into it again.

Apparently according to the Heisenberg Uncertainty Principle the time that the particle pair can exist, \Delta t, is given by

\Delta t \approx h / \Delta E

where \Delta E is the energy of the particle pair.

Is there any lower limit to \Delta E like the neutrino mass? Or could the particle pair be a pair of photons with any energy?

Could \Delta t be billions of years if the particle-pair has a very very low energy ?
 
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\Delta E can be interpreted as the deviation from a proper particle energy&momentum. Particles which are very close to the properties of "real" particles can last a very long time. For pairs of particle+antiparticle with a rest mass, this quantity has to be quite large, which makes these pairs short-living.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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