  The true dynamical randomness is obtained as a natural fundamental property
of deterministic quantum systems. It provides quantum chaos passing to the
classical dynamical chaos under the ordinary semiclassical transition, which
extends the correspondence principle to chaotic systems. In return one should
accept the modified form of quantum formalism (presented by the Schroedinger
equation) which, however, does not contradict the ordinary form and the main
postulates of quantum mechanics. It introduces the principle of the fundamental
dynamic multivaluedness (redundance) extending the quantum paradigm to complex
dynamical behaviour. Moreover, a causal solution to the well-known problems of
the foundation of quantum mechanics, those of quantum indeterminacy and wave
reduction, is also found using the same method. The concept of the fundamental
dynamic uncertainty thus established is universal in character and provides a
unified scheme of the complete description of arbitrary complex system of any
origin (physics/9806002). This scheme incorporates, in particular, universal
definitions of complexity, (non)integrability, and general solution, as well as
the physically complete notion of probability. One obtains thus a
self-consistent hierarchic picture of the world characterised by a (high)
non-zero complexity and containing the intrinsic causal randomness, where the
causally extended quantum mechanics can be consistently interpreted as several
lowest levels of complexity (quant-ph/990215,16).
