Is Classical Reality Completely Deterministic?

Classical or Quantum ? What is Reality ?

Quantum Mechanics, Randomness, and Deterministic Reality

We describe and analyze a new formulation of Bohmian mechanics—the deterministic theory of particles in motion that emerges from Schrödinger’s equation for a system of particles when we merely insist that “particles” means particles. This mechanics resolves all paradoxes associated with the measurement problem in nonrelativistic quantum mechanics. It accounts for quantum randomness, absolute un...

Non deterministic classical logic: the λμ-calculus

In this paper, we present an extension of λμ-calculus called λμcalculus which has the following properties: subject reduction, strong normalization, unicity of the representation of data and thus confluence only on data types. This calculus allows also to program the parallel-or.

Completely positive classical structures and sequentializable quantum protocols

There are two ways to model classical information in categorical quantum mechanics. Originally, biproducts were used to capture classical information external to the category at hand [2]. Later, so-called classical structures emerged as a way to model classical data internal to the category itself [12, 13, 3]. The setting of most interest to quantum information theory is that of completely posi...

Completely Integrable Systems Associated with Classical Root Systems

We explicitly construct sufficient integrals of completely integrable quantum and classical systems associated with classical root systems, which include Calogero-Moser-Sutherland models, Inozemtsev models and Toda finite lattices with boundary conditions. We also discuss the classification of the completely integrable systems.