A Metric Scaling Operator in Resonant Field Theory: Determination of the Constant Psi

Title: A Metric Scaling Operator in Resonant Field Theory Author: Markus Drößler (Frankfurt am Main, Germany) Abstract We define a metric scaling constant \Psi=2\sqrt{2} and introduce the Drößler Operator \mathcal D_\Psi acting as a global rescaling of the spacetime metric. The framework proposes an alternative interpretation of large-scale gravitational discrepancies as metric normalization effects rather than additional matter components. The mathematical formulation is exact; physical implications remain theoretical. Definition \Psi:=2\sqrt{2},\quad \mathcal D_\Psi(g_{\mu\nu})=\Psi^{-2}g_{\mu\nu}. Result Effective gravitational response scales as M_{\rm eff}=\Psi^{2}M. Scope & Status Mathematics: exact. Physics: hypothesis. Tests: open (rotation curves, CMB). Keywords: metric scaling, modified gravity, dark matter alternatives