 A global unique H(1/2) (potential energy) inner product based weak solution of the 3DNavierStokes equationsWe provide a global unique (weak, generalized Hopf) H(1/2)solution of the generalized 3D NavierStokes initial value problem. The global boundedness of a generalized energy inequality with respect to the energy Hilbert space H(1/2) is a consequence of the Sobolevskii estimate of the nonlinear term (1959). The extended (energy) Hilbert space is in line with the proposed Krein space based quanta potential energy Hilbert space concept in unifiedfieldtheory.de. It enables an alternative mathematical model for Mie’s concept of an electric pressure enhancing the Maxwell equations. The second unknown function in the NSE is the pressure p; the pressure function p can be represented as Riesz operator transforms of (u x u), while the gradient (force) operator applied to the unknown pressure function p becomes the CalderónZygmund integrodifferential operator applied to the (velocity) NSEsolution function u (EsG) p. 44. For more details concerning the H(1/2) "potential energy" inner product we refer to the following section C. Further supporting papers are
