Definition and Physical Analysis of the Generalized Geodesic

Within the WQT framework, this paper defines the generalized geodesic as the survey line spiral curve uniquely determined by the two steady-state postulates of WQT, independent of any external metric or connection. The arc length element of the generalized geodesic is directly derived from the postulates c2=v2+d2c2=v2+d2 and d/v=bd/v=b, with speed identically equal to cc. This paper provides the parametric equations, arc length element, and curvature properties of the generalized geodesic, and argues that the geodesic of General Relativity (GR) is a reading of the generalized geodesic under a specific projection window, rather than the objective geometry of the universe. This paper explicitly states: the WQT postulates are working assumptions, not confirmed laws; this paper only demonstrates the self-consistent inclusion relation within the framework, and welcomes any rebuttal to the postulates or derivations. This paper only deals with the spatial part of the geodesic inclusion relation; the complete projection mapping from three dimensions to four dimensions is defined in "Spacetime Is a Synonym for Rest Mass and Momentum" (Yang & Yang, 2026). Keywords: generalized geodesic, survey line spiral, World Quantum Theory, steady-state postulate, projection reading, speed identically c