The Field Equation and Lagrangian of the NUVO Conformal Scalar Field - Part 2 of the NUVO Theory Series

This paper derives the dynamical field equation and Lagrangian for the scalar conformal field λ(t, r, v) that underpins NUVO theory. Beginning with a variational approach and physically motivated scalar terms, we construct a Lagrangian density, extract the corresponding Euler–Lagrange equation, and analyze the resulting field equation for symmetries, conservation laws, and its reduction to Newtonian gravity. The formulation provides a foundational link for coupling λ to spacetime geometry, classical dynamics, and possibly quantum behavior.