The Doting Equation: Reverse Einstein Mass–Energy Conversion in Galactic Dynamics

We present and quantify the Doting Equation, the reverse reading of the Einstein mass–energy relation within the CSF-CMT framework: collapse converts kinetic energy into mass, while black hole deconstruction converts mass back into kinetic energy. Applied to the Milky Way, the Sagittarius A* deconstruction power integrated over a Hubble time yields 4×10⁵²–4×10⁵⁴ J, equivalent to 2.3×10⁵–2.3×10⁷ solar masses processed, standing within one to two orders of magnitude of the galaxy's kinetic budget and closing the same ledger first noted at power level, with a coupling efficiency η≈0.1 independently matching canonical AGN feedback coupling. Incorporating the cosmological constant at two volume cuts shows a sharp scale separation: within the baryonic disk the Λ-energy is a minor entry, while within the virial sphere it exceeds the deconstruction output by a factor of ∼2861, disqualifying it from the galactic account. This separation yields a node-ledger closure radius R_node≈5–11 kpc, the surface where binding energy equals the enclosed Λ-energy; the Milky Way sits at this boundary. All quantities are structural-layer estimates with stated settlement status; no calibrated prediction is claimed.Keywordsmass–energy conversion; black hole deconstruction; galactic dynamics; cosmological constant; dark sector unification; CSF-CMT