TY  - JOUR
A1  - Beim Graben, Peter
A1  - Atmanspacher, Harald
T1  - Complementarity in classical dynamical systems
N2  - The concept of complementarity, originally defined for non-commuting observables of quantum systems with states of non-vanishing dispersion, is extended to classical dynamical systems with a partitioned phase space. Interpreting partitions in terms of ensembles of epistemic states (symbols) with corresponding classical observables, it is shown that such observables are complementary to each other with respect to particular partitions unless those partitions are generating. This explains why symbolic descriptions based on an ad hoc partition of an underlying phase space description should generally be expected to be incompatible. Related approaches with different background and different objectives are discussed
Y1  - 2006
UR  - http://www.springerlink.com/content/101591
U6  - https://doi.org/10.1007/s10701-005-9013-0
SN  - 0015-9018
ER  - 
TY  - JOUR
A1  - Troll, Günter
A1  - Beim Graben, Peter
T1  - Zipfs law is not a consequence of the central limit theorem
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Beim Graben, Peter
T1  - Contextual emergence of intentionality
JF  - Journal of consciousness studies : controversies in science & the humanities ; an international multi-disciplinary journal
N2  - By means of an intriguing physical example, magnetic surface swimmers, that can be described in terms of Dennett's intentional stance, I reconstruct a hierarchy of necessary and sufficient conditions for the applicability of the intentional strategy. It turns out that the different levels of the intentional hierarchy are contextually emergent from their respective subjacent levels by imposing stability constraints upon them. At the lowest level of the hierarchy, phenomenal physical laws emerge for the coarse-grained description of open, nonlinear, and dissipative non-equilibrium systems in critical states. One level higher, dynamic patterns, such as, for example, magnetic surface swimmers, are contextually emergent as they are invariant under certain symmetry operations. Again one level up, these patterns behave apparently rationally by selecting optimal pathways for the dissipation of energy that is delivered by external gradients. This is in accordance with the restated Second Law of thermodynamics as a stability criterion. At the highest level, true believers are intentional systems that are stable under exchanging their observation conditions.
Y1  - 2014
SN  - 1355-8250
VL  - 21
IS  - 5-6
SP  - 75
EP  - 96
PB  - Imprint Academic
CY  - Exeter
ER  - 
TY  - THES
A1  - Beim Graben, Peter
T1  - Symbolische Dynamik ereigniskorrelierter Gehirnpotentiale in der Sprachverarbeitung
Y1  - 2000
ER  -