The problem of interpreting quantum mechanics (QM) is essentially the problem of making sense out of an objectively indefinite reality–that is described mathematically by partitions. Our sense-making strategy is implemented by developing the mathematics of partitions at the connected conceptual levels of sets and vector spaces. Set concepts are transported to (complex) vector spaces to yield the mathematical machinery of full QM, and the complex vector space concepts of full QM are transported to the set-like vector spaces over ℤ₂ to yield the rather fulsome pedagogical model of quantum mechanics over sets or QM/sets.
Introduction to Partition Logic
January 1, 2014 by
This is an introductory treatment of partition logic which also shows the extension to logical information theory and the possible killer application to quantum mechanics.
Seminar in Quantum Information Theory II
December 10, 2012 by
These are the slides from a seminar in quantum information theory and related topics in the Computer Science Department of UC/Riverside during the Spring quarter 2012.
Seminar in Quantum Information Theory I
December 10, 2012 by
These are the slides from a seminar in quantum information theory taught in the Computer Science Department of UC/Riverside in the Winter quarter 2012.
The Objective Indefiniteness Interpretation of Quantum Mechanics
October 31, 2012 by
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.