Speaker
Prof.
Hans Thomas Elze
(Universitá di Pisa. Italy)
Description
The linearity of quantum mechanics leads to the superposition principle and interference,
entailing entanglement, and the enigmatic phenomena of Schrődinger's Cat and Wigner's
Friend.
We introduce an action principle for a class of integer valued cellular automata and obtain
Hamiltonian equations of motion. Employing sampling theory, these discrete deterministic
equations are invertibly mapped on continuum equations for a set of bandwidth limited
harmonic oscillators, which encode the Schrődinger equation. Thus, the linearity of quantum
mechanics is related to the action principle of such cellular automata and its conservation laws
to discrete ones.
This could have implications for the foundations of quantum mechanics and may be useful for
simulations of quantum systems.
