A Classification of Event Sequences in the Influence Network

TL;DR

This paper classifies event sequences in influence networks based on collinearity, exploring their properties and how they relate to Newton's laws of motion within a spacetime framework.

Contribution

It extends previous classifications by analyzing collinearity in influence networks and demonstrates how Newton's laws emerge at spacetime events.

Findings

Newton's First and Second Laws are obeyed at spacetime events.

A proof of Newton's Third Law under specific conditions.

Classification of events based on collinearity in influence networks.

Abstract

We build on the classification in [1] of event sequences in the influence network as respecting collinearity or not, so as to determine in future work what phenomena arise in each case. Collinearity enables each observer to uniquely associate each particle event of influencing with one of the observer's own events, even in the case of events of influencing the other observer. We further classify events as to whether they are spacetime events that obey in the fine-grained case the coarse-grained conditions of [2], finding that Newton's First and Second Laws of motion are obeyed at spacetime events. A proof of Newton's Third Law under particular circumstances is also presented.