Classical Relativistic Many-Body Dynamics
Trump, M.A., Schieve, W.CSpringer, Fundamental Theories of Physics, Vol. 103
This relativistic covariant many-body formulation overcomes the no go theorem by Jordan and Sudarshan [1] by giving up the locality of the interactions and the individual mass-shell conditions. These are not simply cosmetic upgrades but have serious consequences on how we should understand classical physics.
"The single particle has no significance; it is the whole system that counts" --Lanczos
[1] FROM CLASSICAL TO
QUANTUM MECHANICS
Giampiero Esposito, Giuseppe Marmo