Conjectures and questions in convex geometry (of interest for quantum theory and other physical statistical theories)

TL;DR

This paper discusses open problems and conjectures in convex geometry, highlighting their significance for quantum theory and statistical physics, and explores their physical origins and implications.

Contribution

It introduces key conjectures in convex geometry and examines their relevance to quantum and statistical theories, emphasizing their foundational importance.

Findings

Identification of important convex geometry conjectures

Discussion of their physical significance in quantum theory

Highlighting open problems for future research

Abstract

Some conjectures and open problems in convex geometry are presented, and their physical origin, meaning, and importance, for quantum theory and generic statistical theories, are briefly discussed.