On 16/06/2026, at 13:15, in room 2011 of the Faculty of Physics, University of Białystok, prof. Jean-Pierre Gazeau z Université Paris Cité and Faculty of Mathematics University of Bialystok will give a lecture entitled:
„From the QCD Vacuum to Galactic Halos: An Infrared Spectral Gap as the Origin of the Galactic Acceleration Scale”
Tomasz Karpiuk
Andrzej Maziewski
„From the QCD Vacuum to Galactic Halos: An Infrared Spectral Gap as the Origin of the Galactic Acceleration Scales”
Jean-Pierre Gazeau
Université Paris Cité, University of Bialystok
The radial acceleration relation (RAR) revealed by the SPARC survey- a tight, nearly galaxy-independent correlation between observed and baryonic accelerations, controlled by a single scale g† ∼ 10−10 ms−2- remains unexplained within standard ΛCDM. We propose that this scale is the gravitational imprint of a representation-theoretically protected infrared spectral gap in a coherent gluonic dark sector. The argument follows a single logical chain. At the QCD epoch, colour confinement freezes a long-lived population of colour singlet (scalar di-gluonic) bound states into a sector decoupled from the baryonic plasma. The QCD trace anomaly, through dimensional transmutation, generates a dynamical infrared scale in this sector. Requiring Lorentz covariance together with a positive-energy lowest-weight unitary realization then selects SO(2,3)- the isometry group of Anti-de Sitter space- as the natural symmetry of the infrared dynamics. The associated discrete Fronsdal spectrum carries a gap that is representation-theoretically protected, and its lowest scalar mode (conformally coupled, ζ = 2) undergoes Bose–Einstein condensation without any external trap. The resulting condensate halo has a finite total mass, a cored density profile ρ ∝(1+r2/r2c)−ζ, and an intrinsic acceleration scale g⋆ = GMh/r2 c naturally of order g† without fine-tuning and without modifying gravity.
References:
Jean-Pierre Gazeau is Emeritus Professor of Physics at Université Paris Cité, and currently visiting professor at UWB, Faculty of Mathematics. His research spans coherent states, quantization methods, group representations, quantum field theory in curved space-times, and the foundations of quantum physics. He is the author of several books and more than 260 scientific publications, and served as Chairman of the Standing Committee of the International Colloquium on Group Theoretical Methods in Physics from 2008 to 2014.
