Invariant Vector Fields and Scalar Projections in a Rigid-Body Geodetic Baseline

We present a formal relativistic and non-linear geodetic derivation demonstrating that Earth’s long-term dissipation of rotational angular momentum, coupled with the multi-axial projection of the obliquity tensor 𝑱_ϵ, induces a non-linear topological deformation of the local coordinate reference frame. When this transformation acts upon a localized spatial coordinate on the terrestrial manifold, it topologically deforms the local metric tensor g_μν, resulting in a quantifiable compression of the coordinate interval duration of totality Δτ_tot.