Information-Based Physics, Influence, and Forces

TL;DR

This paper explores how influence among particles leads to emergent spacetime and quantum behavior, suggesting influence can be interpreted as a force consistent with special relativity.

Contribution

It extends previous models by analyzing how influence affects particle properties, linking influence to acceleration and forces within an emergent spacetime framework.

Findings

Influence can be interpreted as a force causing acceleration.

Emergent spacetime is consistent with quantum mechanics.

Influence effects align with special relativity principles.

Abstract

In recent works, Knuth and Bahreyni have demonstrated that the concepts of space and time are emergent in a coarse-grained model of direct particle-particle influence. In addition, Knuth demonstrated that observer-made inferences regarding the free particle, which is defined as a particle that influences others, but is not itself influenced, result in a situation identical to the Feynman checkerboard model of the Dirac equation. This suggests that the same theoretical framework that gives rise to an emergent spacetime is consistent with quantum mechanics. In this paper, we begin to explore the effect of influence on the emergent properties of a particle. This initial study suggests that when a particle is influenced, it is interpreted as accelerating in a manner consistent with special relativity implying that, at least in this situation, influence can be conceived of as a force.