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By Peter Mittelstaedt

The most subject of this publication is the concept that quantum mechanics is legitimate not just for microscopic items but in addition for the macroscopic equipment used for quantum mechanical measurements. the writer demonstrates the intimate family members that exist among quantum mechanics and its interpretation that are brought about by way of the quantum mechanical dimension method. for that reason, the ebook is worried either with the philosophical, metatheoretical difficulties of interpretations and with the extra formal difficulties of quantum item idea. the implications of this strategy grow to be partially very promising and partially particularly disappointing. at the one hand, it really is attainable to offer a rigorous justification of a few vital components of interpretation, resembling chance, by way of item conception. nevertheless, the matter of the objectification of size effects ends up in inconsistencies which can't be resolved in an seen method. This open challenge has far-reaching outcomes for the potential for recognising an goal truth in physics.

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Here we dispense with the objectification requirement, and hence the reduced mixed states have no independent empirical meaning. This means that the 'measurement' is nothing else but the correlation between the state cpai of the system and the 'relative state' O,- of the observerapparatus, which is aware of the system state cpai. The state ^ ' ( S + M) provides the state correlation between S and M, which can be considered already as a description of the complete measuring process. In this case too, the coefficients p(cp,ai) are probabilities in the formal sense.

The meaning of these coefficients is then given by the many-worlds version of the probability reproducibility condition. , the objectification postulates (PO) and (SO) are presupposed. Here we dispense with the objectification requirement, and hence the reduced mixed states have no independent empirical meaning. This means that the 'measurement' is nothing else but the correlation between the state cpai of the system and the 'relative state' O,- of the observerapparatus, which is aware of the system state cpai.

Let A be a discrete and nondegenerate observable A = S,-a,-P [a\ eigenvalues a,-, and a value set {at} = XA. 17) holds. The initial states cpai of the object system S are not altered at all by this kind of measurement. The initial (neutral) state Q> of the pointer is transformed into the eigenstate O* of the pointer that corresponds to the pointer value Zj and that indicates the measurement result at = /(Zj). We add that, for an arbitrary preparation cp, the state of S + M after the premeasurement reads U(

9A) of the object system is given by where ^((p^at) = \{q>a\q>)\2 is the probability for obtaining At as the result of the ^-measurement.

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