Ludwig-Maximilians University             32nd Arnold-Sommerfeld-Lectures                                January 13, 2026

    The force of nothing:       

Attraction and Repulsion in the Quantum Void
  La Voix des airs   The Castle

The Voice of Space: Rene Magritte 1928                                                                                            The Castle of the Pyrenees: Rene Magritte 1959       

Mehran Kardar

Thosten Emig, Matthias Krüger, Noah Graham, Robert Jaffe

Jamal Rahi, Mohammad Maghrebi, Vlad Golyk, Dhruv Shah


Outline

I.        The Casimir force:  From theory, to experiment verification, & technological relevance

II.      Repulsion/Levitation? Exotic materials (metamaterials); and Shapes (spheres, pistons

III.     Earnshaw's theorem in electrostatics and for fluctuation-induced forces

IV.     Heat radiation at near and far field, evanescent waves

V.      Propulsive force: contact-less heat engine and future directions (rotating object)

VI.    Friction of vacuum: radiation from rotating bodies

VII.  Summary


 

 

 

 

 

 

 

 

 

 

Quantum physics teaches us that even the emptiest vacuum is teeming with fluctuations of electromagnetic fields. When these fluctuations are confined between objects, they produce measurable forces: the Casimir effect describes an attraction between uncharged conductors arising solely from the confinement of the quantum void. In this talk, I will explore how this subtle quantum phenomenon connects to ideas of attraction, repulsion, and mechanical work. After introducing the origin and measurement of the Casimir force, I will discuss whether it can be made repulsive, and why true levitation remains elusive in equilibrium. Extending these ideas beyond equilibrium reveals new possibilities: radiation pressure from heat, nonreciprocal materials that generate motion and work without contact, and rotating bodies that spontaneously emit light. Together, these examples show how the restless quantum vacuum continues to surprise us.