Maximum observed acceleration?

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Boris Leykin
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Hi :)
What is the maximum observed acceleration a body (a matter) can have?
I suppose it may be the acceleration of matter of supernova explosion, how much is its value?
(I thought also acceleration of particles in particle colliders is big, but it seems there is no sense to ask about acceleration in quantum mechanics)
 

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In principle, there is no maximum to acceleration in either QM or SR.
 

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