Quantum Cybernetics: A New Perspective for Nelson's Stochastic Theory, Nonlocality, and the Klein-Gordon Equation

Abstract

The Klein-Gordon equation is shown to be equivalent to coupled partial differential equations for a sub-quantum Brownian movement of a ''particle'', which is both passively affected by, and actively affecting, a diffusion process of its generally nonlocal environment. This indicates circularly causal, or ''cybernetic'', relationships between ''particles'' and their surroundings. Moreover, in the relativistic domain, the original stochastic theory of Nelson is shown to hold as a limiting case only, i.e., for a vanishing quantum potential.

21 pages; published in Phys. Lett. A 296 (2002) 1 - 8

References in corpus (2)

• Implications for quintessence models from MAXIMA-1 and BOOMERANG-98
• Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation

Cited by in corpus (4)

• From Classical Hamiltonian Flow to Quantum Theory: Derivation of the Schroedinger Equation
• Quantum cosmic models and thermodynamics
• Derivation of the Schroedinger Equation and the Klein-Gordon Equation from First Principles
• Observing Quantum Systems