Monday, 25 February 2008

The mind and chaotic attractors?

I read in this website of an interesting account of mind chaos and I will let it flow into my own chaotic mind and see what will bring out.

"In this model, low level chaos is lifted into a higher energy state by olfactory input. Chaos in this state enables the system to explore its phase space, falling into an existing attractor in the case of a recognised odour, but bifurcating to form a new attractor in the case of a newly learned stimulus."

Admitting of the existence of low level chaos before the presence of a stimulus provides a picture of the state of the mind before the stimulation. It brings into my mind the noise existing into our brain, Erich Harth's penumbrae, what is needed for some random sparkle to build upon. By referring at that state as chaos, it reflects its random character. And as the stimulus results in a flurry of activity, in a process similar to Erich Harth's Alopex optimisation algorithm, lifted into a higher energy state by the sensory input. And once, in that higher energy state the system explores its phase space. Phase space? An abstract space. The 'space' in which all possible states of a system are represented. Can phase space be visualised? All possible states? Regardless of being visualised exploring phase space, the system explores all possible states and the states focuses upon are the states that belong in an attractor. An attractor the set of states (points in the phase space), invariant under the dynamics, towards which neighboring states in a given basin of attraction asymptotically approach in the course of dynamic evolution. And the including basin of attraction, the set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.

The chosen attractor. Chosen? What criteria is a choice identified with? Based on system variables. Variables that have been analysed by sense detectors. The values of the variables chemicals present, represent the initial conditions and dynamically evolve to a particular attractor. An existing attractor if the chemical and its odour has already presented itself, along with the word, the symbol associated with or bifurcating to form a new attractor if the chemical and its odour has not presented itself as yet, and duly assigned with another word, another symbol which it will make it easier, later on to convey information to other individuals about the new chemical and its odour.

Building up attractors by engaging into chaos. Why? Is there not any other way? Because it is fast? Or is it because it emerges out of noise, unstructured states? Out of nothing? And what would that noise be, the unstructured states found in the deepest level of organised matter. Quantum froth? Quantum noise? Our very own entanglement with the quantum world?

Or is it because

"The transition into chaos thus provides sensitive dependence on input, ergodic 'randomizing' phase space exploration, parametric bifurcation to form new symbols, and possible quantum amplification. Return from chaos in turn fixes stability structures from the fractal dynamics."

Chaos processes make it possible to take into consideration minute differences in the presented conditions as they are sensitively dependent upon and thus increase human analytical powers discriminating between finer and finer features. Minute details noticed multiply, a plethora of features swamp the human intellect. Each individual with a unique view of the world? A reason that explains the diversity of human endeavour?