TITLE:
Conditional Events and Quantum Logic
AUTHORS:
Philip G. Calabrese
KEYWORDS:
Heisenberg Indeterminacy, Superposition of Events, Quantum Entanglement, Hidden Variables, Boolean Algebra, Conditional Logic
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.6,
June
28,
2018
ABSTRACT: This paper begins with an overview
of quantum mechanics, and then recounts a relatively recent algebraic extension
of the Boolean algebra of probabilistic events to “conditional events” (order
pairs of events). The main point is to show that a so-called “superposition” of
two (or more) quantum events (usually with mutually inconsistent initial
conditions) can be represented in this algebra of conditional events and
assigned a consistent conditional probability. There is no need to imagine that
a quantum particle can simultaneously straddle two inconsistent possibilities.