Physical space description of decorated quasicrystals

In this paper the systematic method of dealing with the arbitrary decorations of quasicrystals is presented. The method is founded on the average unit cell formalism and operates in the physical space only, where each decorating atom manifests itself just by an additional component of the displacement density function in the average unit cell. Such approach allows us to use almost all classical crystallography algorithms for structure refining based on experimental data and may meaningly decrease the number of parameters which have to be fit. Further help for such analysis may be the use of proposed recently average Patterson function, here applied to decorated sets. As an example we present a description of a class of decorated quasicrystals based on Sturmian sequence of two interatomic spacings: we calculate explicitly structure factor, the shape of average Patterson function and give an algorithm for pattern analysis.Comment: 17 pages, 5 figure

Quantum Particle Motion in Physical Space

Using Feynman's representation of the quantum evolution and considering a quantum particle as a matter field (continuous medium), it is shown that individual particles of the field have unique paths of the motion. This allows describing motion of the quantum particle continuous medium by Lagrange's method. It is shown that form of the real individual particle path is determined by classical minimum action principle.Comment: 5 page

Mobility, physical space and learning

Our biological inheritance is to sense the world through many channels including the non verbal. Learning theory, in both organizational and pedagogic contexts, has come to recognise as much, yet the dominant physical expressions given to learning space in both contexts remain rooted in linear arrangements. The advent of contemporary human processing tools and artefacts have the potential to liberate the learner yet space designs, driven by dictates of notional efficiency and a view of work and learning as separate, stationary processes, constrain through a reduction in the natural reliance on sensorial, embodied human capacities. With an example of case material, we suggest an asynchronous co-evolutionary process, a syncretisation of learning theories and space design. Granting physical expression to modern views of the learning process as mobile and corporeal can, accelerate learning. Key words Workspace, workplace, learning, complexity, organizational ecology, mobilit

Social Distance Evaluation in Human Parietal Cortex

Across cultures, social relationships are often thought of, described, and acted out in terms of physical space (e.g. “close friends” “high lord”). Does this cognitive mapping of social concepts arise from shared brain resources for processing social and physical relationships? Using fMRI, we found that the tasks of evaluating social compatibility and of evaluating physical distances engage a common brain substrate in the parietal cortex. The present study shows the possibility of an analytic brain mechanism to process and represent complex networks of social relationships. Given parietal cortex's known role in constructing egocentric maps of physical space, our present findings may help to explain the linguistic, psychological and behavioural links between social and physical space