Quantum state reduction, and Newtonian twistor theory

TL;DR

This paper explores the intersection of quantum mechanics and Newtonian geometry through twistor theory, offering new insights into the equivalence principle in a non-relativistic setting.

Contribution

It introduces a novel approach connecting quantum state reduction with Newtonian twistor theory and Newton--Cartan geometry.

Findings

Establishes a link between quantum state reduction and Newtonian twistor structures.

Provides a geometric framework for understanding the equivalence principle in quantum mechanics.

Suggests potential applications in non-relativistic quantum gravity theories.

Abstract

We discuss the equivalence principle in quantum mechanics in the context of Newton--Cartan geometry, and non--relativistic twistor theory.