Towards a dynamics for quantum logic

FEDERICO HOLIK; SEBASTIAN FORTIN

Londres

Conferencia; FOUNDATIONS-2016: The 18th UK and European Conference on Foundations of Physics; 2016

London School of Economics

In this work we present a dynamical approach to quantum logics. By changing the standard formalism of quantum mechanics to allow non-Hermitian operators as generators of time evolution, we address the question of how can logics evolve in time. In this way, we describe formally how a non-Boolean algebra may become a Boolean one under certain conditions. We develop a new quantum logical formalism based in complex spectral resolutions, a notion that we introduce in order to cope with the temporal aspect of the logical structure of quantum theory.