A Note on Fuzzy Space And Topology
Burra G.Sidharth

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.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Mathematical Theories and Applications · Quantum Mechanics and Applications
