1. Many systems which used to be considered simple-linear deterministic are now regarded as complex-nonlinear-chaotic deterministic (CNLCD), even the evolution of the solar system, no longer seen as cyclic or quasi-periodic, but chaotic. (See Science, Feb. 26, 1993, article by Touma and Wisdom, “The Chaotic Obliquity of Mars”, p. 1294.) Other chaotic systems are biological evolution (see Stephen Jay Gould, “Wonderful Life”, although he does not call his theory “chaos”, but rather “chance”), and human history (especially lately since 1989).

2. CNLCD-ruled system-dynamics are still deterministic, as the name asserts, but extremely sensitive to micro variations in both initial conditions and external inputs.

3. In the sub-micro level of quantum phenomena, the uncertainty principle and particles tunnelling through barriers introduce probabilistic factors.

4. “Free will” — an entity from the mental realm, emergent or pre-existing or both – might operate at the quantum level to influence the probability of electron or proton tunnelling, perhaps at the biological level of neuron signalling. (This is the most speculative step.)

5. This small disturbance in tunnelling probability might influence large-scale CNLCD systems because of their hyper-sensitivity to tiny disturbances (the butterfly effect), and induce large-scale phenomena, like the movement of a hand. This is a sort of a relay effect.

6. This process represents a link between quantum and chaos theories — between the very small and the very complex.