Particle-based methodology for representing mobile ad-hoc networks

Abstract

Abstract-We present a methodology based on physics laws and particles in order to represent, simulate, and architect advanced networking models. We introduce a mathematical formalism with its basic postulates seeing the messages signals and nodes as interacting/colliding particles and space-temporal zones, respectively. In particular we focus on using this "Particle" view for Ad-Hoc networks, where we can represent network nodes as the moving particles in physics. This idea can be used in several types of networks like sensor or mobile, and even to computational systems, this first presentation aims to continue with further work on robustness, tools, and examples on how this view can be used in specification of complex networks in conjunction with existing methodologies and tools.

Information –Symmetry and Feynman-Diagrams Applied to Computing Models

“…The research methodology covered the stages: i) state of the art; ii) investigate and propose generic models; and iii) apply or put in practice models for current problems in computing. Let us start reviewing the reference models [4] [5] and explain how to treats computing systems under the prism of 1) Change as Reactions, 2) Values as Dimensions, and 3) Conservation & Symmetry, in a 4) Cyclic equilibrium or feedback.…”

“…A nature-inspired model [4] formalized the mathematic equivalence between computing meta-model frameworks (State Machines, Turing,) and the use of modelling-Particles and reactions. The "particles" model signals and states, and each "change" or "interaction" models a process.…”

“…We model each change with a reaction: with modelling particles, interaction zones, and rules. It was shown formally [4] how interaction zones model process executions; the rules model the program or algorithm; and the particles model inputs, outputs, code, signals, states, … For instance, the reaction bellow models the operation of calculating an angle´s cosine. The formula shows original states (left), a change ( → ), and final by-products (right side).…”