New NWA-ORC call: New types of Symmetry

In mathematics and the natural sciences, symmetries play a key role. Symmetries form the basis for an elegant and effective description of almost everything we observe around us: from the many different forms of (living) matter to the microscopic structure of space and time. Recent developments suggest that the concept of symmetry can be expanded and lead to new powerful applications. Moreover, the subject of symmetry offers an intriguing basis for collaboration between researchers and societal actors – particularly in the fields of education and the arts. The framework of this call is formed by four pillars:

Scientific pillars:

1) Generalized symmetry:

In theoretical physics, there is particular attention to higher-order forms of symmetry. These play a role not only in string theory, for example, but also in high-energy particle physics and (the classification of) condensed forms of matter. These developments have a close relationship with mathematical research into topological phase transitions and category theory. More generally, the relationship between algebra, geometry and symmetry, the so-called Langlands program, is one of the great challenges in mathematics where important progress has recently been made, with new perspectives towards both number theory and quantum field theory. These developments can have important consequences for effective descriptions, from particle, quantum and soft-matter physics to hydrodynamics. Recent advances in semiconductor technology, for example, are also based on symmetry insights (topological insulators, robust quantum computers).

2) Quasi symmetry:

Symmetry often has imperfections. Such near-, hidden or partial symmetry is nevertheless crucial as an organizing principle for the effective description of behavior, and the classification of, a wide diversity of natural phenomena. The study of broken symmetry, spontaneous or as a result of disturbances, has important applications from particle physics to turbulence in fluids and gases. For instance, symmetry violation has proven to be a powerful way to uncover new physics of fundamental particles and their interactions. The mathematical structure and description of quasi-crystals is another important challenge in this context. More generally, there have been new insights into dynamically generated (near-) symmetry in many-particle systems such as liquid crystals and large networks, both from mathematics and the 'soft-matter' community. The latter is also closely related to studies of fractal (scaling) symmetries, which are ubiquitous in living nature; think of the repeating curls of a fern or recurring patterns in alveoli.

Societal pillars:

1. Co-creation and co-evolution of a fundamental symmetry concept:

When artists, scientists, educational institutions, and the public actively collaborate on symmetry-focused projects or studies (such as symmetry labs or citizen science projects), they can share ideas and collectively achieve further insights. How is symmetry viewed through the lens of philosophy and the history of science, and what is the importance of visualisation in mathematical and physical modelling? In this context, we place particular emphasis on engaging a diverse group of young people, aiming to inspire them to develop their talents in science and technology.

2. Symmetry in public spaces:

Interactive art installations or performances in public spaces, where scientists and artists work together to create exhibitions that demonstrate symmetry concepts, invite a broad audience to explore symmetry in a hands-on, alternative way. Our special focus is on developing productions that spark curiosity and inspire the imagination of young audiences.