The laws of Newton and Coulomb as information transmission by virtual particles

TL;DR

This paper presents a formal model using virtual particles as information transmitters to derive Newton's and Coulomb's laws, demonstrating convergence to classical trajectories without relying on fields or forces.

Contribution

It introduces a novel formal model based on virtual particles for deriving classical laws, providing a rigorous mathematical proof of trajectory convergence.

Findings

Model reproduces inverse square law behavior

Trajectories converge to Newtonian paths

Simplifies interpretation with basic classical particles

Abstract

In elementary particle physics the philosophy of virtual particles is widely used. We use this philosophy to obtain the famous inverse square law of classical physics. We define a formal model without fields or forces, but with virtual particle - information transmitter. This formal model admits very simple (school level) interpretation with two classical particles and one virtual. Then we prove (in a mathematically rigorous way) that the trajectories in our model converge to standard Newtonian trajectories of classical physics.