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Which of these understandings is correct ?

A stationary particle separates into 2 particles A & B

Is it that :

(a) One can independently measure accurately to the desired accuracy the momentum of A and the position of B and thus obtain both position AND momentum of either particle thus violating Heisenberg's uncertainty principle (Is this really a violation of Heisenberg's uncertainty principle since no simultaneous measurement of momentum and position is done here?)

OR is it that

(a) one can measure accurately to the desired accuracy the momentum or position of particle A and deduce instantaneously the value of the corresponding property of B (even though B is several light years away).

What is the need to assume instantaneous transmission of information because from the principle of conservation of momentum if pA is measured, then pB is known)

TIA