Ivancevic_Applied-Diff-Geom

1084 Applied Differential Geometry: A Modern IntroductionFig. 6.13 Transition–propagator corresponding to each of the motivational phases{F, I, M, T }, consisting of an ensemble of feedforward paths propagating through the‘wood of obstacles’. The paths affected by driving and restraining force–fields, as well asby the local LSF–geometry. Transition goes from Intention, occurring at a sample timeinstant t 0 , to Action, occurring at some later time t 1 . Each propagator is controlled byits own Monitor feedback. All together they form the transition functor T A.Ashcraft (1994)], the environmental input–triggered sensory memory andworking memory (WM) can be interpreted as operating at the micro–levelforce–field under the executive control of the Monitor feedback, whereassearch can be formalized as a control mechanism guiding retrieval from thelong–term memory (LTM, itself shaped by learning) and filtering materialrelevant to decision making into the WM. The essential measure of thesemental processes, the processing speed (essentially determined by Sternberg’sreaction–time) can be represented by our (loco)motion speed ẋ.Six Faces of the Life Space FoamThe LSF has three forms of appearance: paths + field + geometries,acting on both macro–level and micro–level, which is six modes in total. Inthis section, we develop three least action principles for the macro–LSF–level and three adaptive path integrals for the micro–LSF–level. Whiledeveloping our psycho–physical formalism, we will address the behavioralissues of motivational fatigue, learning, memory and decision making.General FormalismAt both macro– and micro–levels, the total LSF represents a union of