The paper proposes a statistical fields theory of quantum reference frame underlying the Perelman's analogies between his formalism Ricci flow and thermodynamics. is based on d=4-{\epsilon} non-linear sigma model, interpreted as system which to-be-studied relative to. statistic physics thermodynamics studied by density matrix obtained Gaussian approximation. induced Ricci-DeTurck associated wit...

introduction: due to sensitiveness of flow to roughness coefficient (rc), selection of this coefficient is important in earth canals designing purposes. precision selection of this coefficient is necessary for design and operation of earthen canals purposes. overestimation of the actual amount of this coefficient will cause an underestimation for flow velocity. accordingly, sedimentation in the...