Cosmology from conservation of energy

It is argued that many of the problems and ambiguities of standard cosmology derive from a single one: violation of the conservation of energy in the standard paradigm. From a relational expression of the kinetic energy between two particles, due to Schroedinger, one can derive a Machian energy equation of the expanding Universe [1], which in fact is the Friedmann equation. It turns out that conservation of total Machian energy has some intriguing consequences. It yields a set of only four admissible spacetimes (de Sitter k=-1,0,1, and Minkowski), This, however, in the assumed presence of matter (dust, radiation,..). Subject to conservation of energy, matter appears as curvature energy, and total energy as vacuum energy. Of these models, the open de Sitter model ($\rho\propto1+a^{-2}$) is observationally closest to $\Lambda$CDM.