Spacetime and Matter - a duality of partial orders

TL;DR

This paper proposes a novel duality between spacetime and matter using partial orders, potentially impacting our understanding of quantum mechanics emergence.

Contribution

Introduces a new duality framework linking spacetime and matter through partial orders, incorporating causality, extensity, and discreteness.

Findings

Suggests implications for the emergence of quantum mechanics

Proposes a duality framework based on partial orders

Discusses potential consequences for fundamental physics

Abstract

A new kind of duality between the deep structures of spacetime and matter is proposed here, considering two partial orders which incorporate causality, extensity, and discreteness. This may have surprising consequences for the emergence of quantum mechanics, which are discussed.