The Objective Indefiniteness Interpretation of Quantum Mechanics

The purpose of this blog entry is to briefly describe a new interpretation of quantum mechanics (QM). A long paper introducing this objective indefiniteness interpretation is available at the Quantum Physics ArXiv and (a more recent version) on my website.

From Partition Logic to Information Theory

A new logic of partitions has been developed that is dual to ordinary logic when the latter is interpreted as the logic of subsets rather than the logic of propositions. For a finite universe, the logic of subsets gave rise to finite probability theory by assigning to each subset its relative cardinality as a Laplacian probability. The analogous development for the dual logic of partitions gives rise to a notion of logical entropy that is related in a precise manner to Claude Shannon’s entropy.