The origin of gravity is still a controversial issue. The solution of this problem may have important implications for a complete theory of quantum gravity. On the other hand, independent of the nature of gravity, the existence of a minimum interval of space and time has been widely argued and acknowledged as a model-independent result of the proper combination of quantum mechanics (QM) and gen...

Animal behaviors often are decomposable into discrete, stereotyped elements, well separated in time. In one model, such behaviors are triggered by specific commands; in the extreme case, the discreteness of behavior is traced to the discreteness of action potentials in the individual command neurons. Here, we use the crawling behavior of the nematode Caenorhabditis elegans to demonstrate the op...

by Magne Myrtveit Normally, we try to aggregate discreteness in System Dynamics (SD) models by making continuous flows. This is a good modeling practice, but in some cases discreteness may have a significant influence on system behavior (see note). Consequently, we need to model such discreteness to explore its impact on behavior. The System Dynamics (SD) technology was originally designed with...

We study the effect of discreteness on various models for patterning in bacterial colonies. In a bacterial colony with branching pattern, there are discrete entities – bacteria – which are only two orders of magnitude smaller than the elements of the macroscopic pattern. We present two types of models. The first is the Communicating Walkers model, a hybrid model composed of both continuous fiel...

Some non-normal κ−complete ultrafilters over a measurable κ with special properties are constructed. Questions by A. Kanamori [4] about infinite Rudin-Frolik sequences, discreteness and products are answered.

An estimate of the convergence radius of a simulated CDM halo is obtained under the assumption that the peak phase-space density in the system is set by discreteness effects that operate prior to relaxation. The predicted convergence radii are approximately a factor 2 larger than those estimated for numerical convergence studies. A toy model is used to study the formation of sheets of the cosmi...