PhysicistDave

Time-energy uncertainty relation shows the universe is everlasting

Heisenberg’s time-energy uncertainty relation is given by the below equation:
Δt ΔE ≥ ℏ/2

While commenting in a blog by German physicist Sabine Hossenfelder, another physicist has written the following in one of his comments in the comment section:
“Small ΔE means long lifetime.”1

My starting point will be this: Small ΔE means long lifetime.

If small ΔE means long lifetime, then, what will have to be the lifetime if ΔE is to be zero?

We have already seen that Δt ΔE ≥ ℏ/2.

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