A Note on Fuzzy Space And Topology

TL;DR

This paper explores defining a topological notion of distance between particles in a universe modeled with Leibnizian space, integrating recent physics insights.

Contribution

It introduces a novel approach to conceptualize particle distance using topology within a Leibnizian space framework, diverging from traditional Newtonian models.

Findings

Distance can be defined topologically in Leibnizian space.

Physics inputs enable a new perspective on spatial relationships.

Potential implications for understanding universe structure.

Abstract

We consider the problem of distance between two particles in the universe, where space is taken to be Liebnizian rather than Newtonian, this being the present day approach. We then argue that with latest inputs from physics, it is possible to define such a distance in a topological sense.