The construction begins with realized separation and the associated metric. From there it develops connection and curvature quantities, a variational matter contribution, and the coupling and cosmological terms. The aim is to show how these objects belong to one mapping-based structure rather than introduce them as unrelated assumptions.

The continuum and smoothness conditions are essential. An equation obtained in a macroscopic limit is not automatically valid in every finite-count or strong-field regime. The manuscript must specify the domain in which its recovery of the standard form is claimed.

Conservation is another substantive requirement. If a cosmological contribution evolves in the proposed construction, its evolution must be balanced consistently with the stress-energy account. Merely appending a changing scalar to a familiar field equation would not establish a complete dynamical theory.

The result is a theoretical recovery claim. It does not make the existing experimental successes of general relativity independent new confirmations of MQ. A competing foundational account must also identify whether it differs observably and calculate those differences under controlled assumptions.