Summary

I.       Casimir force in QED:       

 High precision experimental precision achieved with scanning probes                        

       Applications require control of this force, and its shape dependence

II.      Thermal Casimir force:   

 Critical Casimir force observed for colloids in a binary mixture    

III.    Repulsion/Levitation?

 Metamaterials, las invisibility cloaks:     

 Geometry: 

IV.   Earnshaw's theorem:             

  No levitation is possible with electrostatic interactions:  

 No levitation is possible with Casimir forces with dielectric composites: 

V.    Membranes inclusionse: Forces between inclusions due to membrane concentration fluctuations

                   

Conformal invariance enables computing forces for arbitrary shapes in any critical system.   

Repulsion and stability with wedges:                     

VI.   Nonequilibrium Radiative force: Breakdown of classical "Stefan-Bolzmann" law

 Classical radiation pressure:       

 Near field heat transfer:          Levitation:         

Acknowledgments

Thosten Emig, Giuseppe Bimonte, Noah Graham, Robert Jaffe

Ramin Golestanian, Mark Hertzberg

Jamal Rahi, Mohammad Maghrebi

Vlad Golyk, Matthias Krüger

Next (outline) Outline Casimir force Thermal Casimir Repulsion? Earnshaw's theorem Membrane inclusions Non-eq. radiative Summary