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キーワード:
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要旨:
A deep connection between intelligence and causal entropy maximization was sug-
gested by Wissner-Gross and Freer in 2013 [1]: intelligence is moving towards a
maximization of future possibilities. In this work I use the concept of causal en-
tropic forces to investigate fundamental rules for pattern formation on a lattice.
Previously, this has been studied in continuous space and time by Hornischer [2]. I
explore three different approaches to calculate the phase-space volume, which is the
crucial variable of the causal entropic force: approach A takes the raw number of
possible trajectories into account and weights them equally. Here the force is strictly
repulsive and the behavior is comparable to an ideal gas. Approach B takes the ra-
dius of gyration as a weight for each sampling trajectory to explore the phase space
volume. For this approach I find stable patterns, where the appearance ranges from
hexagonal to labyrinthine depending on the time horizon and density. Approach C
uses the boxcount of each trajectory as its weight. In this approach I find patterns,
the appearance depending on time horizon and density but the occurrence also de-
pending on the fraction of explored phase space. If only a small part of the phase
space is explored the particles move erratically and no patterns appear.
