3 Results Found

The Stueckelberg–Horwitz–Piron (SHP) formalism describes particles and fields traced out as spacetime events functionally dependent on an external evolution parameter $\tau$. This approach addresses a number of difficulties associated with...

We propose a field theory for the local metric in Stueckelberg–Horwitz–Piron (SHP) general relativity, a framework in which the evolution of classical four-dimensional (4D) worldlines $x^{\mu }\left(\tau \right)$ ($\mu =0,1,2,3$) is parameterized by an exter...

The 4+1 formalism in general relativity (GR) prescribes field equations for the spacetime metric ${\gamma }_{\mu \nu }\left(x,\tau \right)$ which is local in the spacetime coordinates x and evolves according to an external “worldtime” $\tau$. This formalism e...