On the notion of elementary particles on curved space-times

2025/06/17 by Ibort, Alberto, Marmo, Giuseppe, Mas, Arnau +1
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2506.14296

Abstract

Wigner's program that identified elementary particles with unitary irreducible representations of Poincaré group, is extended, inspired by the modern categorical/groupoidal picture of Quantum Mechanics, to general Lorentzian space-times.

Citations

• Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?
• Dynamical maps and symmetroids
• Continuous representations of groupoids

Related

• Is a particle an irreducible representation of the Poincaré group?
• Particle Physics as Representations of the Poincare Algebra
• Wigner's Last Papers on Spacetime Symmetries
• Poincaré Sphere and a Unified Picture of Wigner's Little Groups
• Celestial decomposition of Wigner's particles