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It was later claimed by the Keller group in Switzerland that particle tunneling does indeed occur in zero real time.
Their tests involved tunneling electrons, where the group argued a relativistic prediction for tunneling time should be 500-600 attoseconds ( an attosecond is one quintillionth ( 10 < sup >− 18 </ sup >) of a second ).
All that could be measured was 24 attoseconds, which is the limit of the test accuracy.
Again, though, other physicists believe that tunneling experiments in which particles appear to spend anomalously short times inside the barrier are in fact fully compatible with relativity, although there is disagreement about whether the explanation involves reshaping of the wave packet or other effects.

1.842 seconds.