# Signal Propagation in Double Edged Relays

## TL;DR

This paper introduces a discrete signal propagation model combining wave and automata features, enabling complex behaviors and information encoding in networks, with potential applications like a SPIDER model for shortest path algorithms.

## Contribution

The paper develops a novel discrete signal propagation model that exhibits superposition and complex behaviors, and proposes a SPIDER model as an alternative to Dijkstra's algorithm.

## Key findings

- Model obeys a limited form of superposition
- Signals can encode and retain information in networks
- Potential application in shortest path algorithms

## Abstract

A discrete signal propagation model blending characteristics of linear wave propagation and finite state automata is developed. We show this model obeys a limited form of superposition and is capable of displaying a wide variety of interesting behaviors. We show how the model's superposition properties permit information to be encoded and retained by signals that pass through discrete networks. We outline a SPIDER model replacement for Dijkstra's algorithm.