Explain the Lean module `IndisputableMonolith.Cost.Ndim.XCoordinates`. Write a module-level guide for a reader arriving from Pith. Cover the module's purpose, the main declarations, how it fits into the Recognition Science forcing chain or runtime, and what remains outside this module. Cite only declarations present in the supplied Recognition source.

The requested module IndisputableMonolith.Cost.Ndim.XCoordinates is not present in the supplied slice of the Pith canon. Without the source text of this module, it is impossible to write a module-level guide covering its specific declarations or to definitively explain how it fits into the broader forcing chain.

While the Recognition Science framework establishes the fundamental cost function $J(x) = \frac{x + x^{-1}}{2} - 1$ and derives the spatial dimension $D = 3$ (as shown in the primer and the DimensionForcing module), the specific handling of $N$-dimensional coordinates within XCoordinates cannot be faithfully described or cited using only the provided text.