TY - JOUR
T1 - A derivation of local commutativity from macrocausality using a quantum mechanical theory of measurement
AU - de Muynck, W.M.
AU - van den Eijnde, J.P.H.W.
PY - 1984/2
Y1 - 1984/2
N2 - A theory of the joint measurement of quantum mechanical observables is generalized in order to make it applicable to the measurement of the local observables of field theory. Subsequently, the property of local commutativity, which is usually introduced as a postulate, is derived by means of the theory of measurement from a requirement of mutual nondisturbance, which, for local observables performed at a spacelike distance from each other, is interpreted as a requirement of macrocausality. Alternative attempts at establishing a deductive relationship between relativistic causality and local commutativity are reviewed, but found wanting, either because of the assumption of an unwarranted objectivity of the object system (algebraic approach) or because of the use of a projection postulate (operational approach). Finally, the quantum mechanical nonobjectivity is related to certain features of nonlocality which are present in the formalism of quantum mechanics.
AB - A theory of the joint measurement of quantum mechanical observables is generalized in order to make it applicable to the measurement of the local observables of field theory. Subsequently, the property of local commutativity, which is usually introduced as a postulate, is derived by means of the theory of measurement from a requirement of mutual nondisturbance, which, for local observables performed at a spacelike distance from each other, is interpreted as a requirement of macrocausality. Alternative attempts at establishing a deductive relationship between relativistic causality and local commutativity are reviewed, but found wanting, either because of the assumption of an unwarranted objectivity of the object system (algebraic approach) or because of the use of a projection postulate (operational approach). Finally, the quantum mechanical nonobjectivity is related to certain features of nonlocality which are present in the formalism of quantum mechanics.
UR - http://www.scopus.com/inward/record.url?scp=11644312173&partnerID=8YFLogxK
U2 - 10.1007/BF00729970
DO - 10.1007/BF00729970
M3 - Article
AN - SCOPUS:11644312173
SN - 0015-9018
VL - 14
SP - 111
EP - 146
JO - Foundations of Physics
JF - Foundations of Physics
IS - 2
ER -