**Editors: Andreas Doering and Tim Palmer **

In recent years, there has been renewed interest in the foundations of physics, and in particular in the foundations of quantum theory. This is influenced in part by progress in quantum information theory, but also by the spectacular experimental results provided by the Large Hadron Collider, and the accompanying search for theories beyond the standard model. There are diverse research strands that introduce new geometric concepts and techniques into physics: noncommutative geometry (of various kinds), fractal geometry of state spaces, sheaves and topos theory in physics, etc. This issue brings together a number of leading physicists and mathematicians who present new conceptual and structural ideas about the use of geometry in fundamental physics, the interplay between geometry and logic, and the influence of current experimental results.

*Cover image: Melencolia I by Albrecht Dürer (1514).*

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