CONJUGATE PAIR OF REPRESENTATIONS IN CHAOS AND QUANTUM MECHANICS

Being based on the observation that a conjugate pair of representations, or dual logic, is a necessity under the presence of chaos, a new interpretation of quantum theory is proposed as describing proto-chaos. This chaos has to be a result of basic nonlinearity in the dynamic structure, of which, however, the nonchaotic phase seems to lie outside the reach of experimental technique, thus the term proto-chaos. Nevertheless, assuming no extra degrees of freedom, the interpretation clarifies a number of riddles posed hitherto and throws some light on the overall hierarchical structure of our understanding and description of nature …