Non-Existence of Dark Matter and Dark Energy from Variational Closure

We develop a closed variational framework in which physical reality is defined as the unique configuration selected from the set of stationary solutions of a universal quartic functional. In this setting, existence is not postulated but derived: only configurations satisfying the variational equation and selected by a global decisional functional belong to physical reality. Within this formal structure, we establish a general non-existence theorem for non-derived quantities. Any term that does not emerge from the internal variational structure is excluded from the admissible configuration space and cannot correspond to a physically existing entity. We apply this result to the standard cosmological model and show that both dark matter and dark energy arise as compensatory constructs introduced to reconcile observational data with incomplete dynamical equations. These components are not derivable from any closed variational principle and therefore lack ontological status. We then construct a structural replacement in which the phenomena commonly attributed to the dark sector—flat galaxy rotation curves, gravitational lensing, and accelerated expansion—are recovered directly from the spectral hierarchy and internal geometry generated by the variational functional. The analysis demonstrates that the introduction of dark components is not required when the underlying structure is variationally closed, and that physical ontology must be restricted to quantities emerging from such a structure.