Universes with constant total energy: do they solve important cosmological problems?

Mathematics – Logic

Scientific paper

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Horizon And Flatness Problem, Vacuum Energy

Scientific paper

We study cosmological consequences of total energy conservation strictly valid for the whole universe. As prime consequence of ergodically behaving universes very specific scaling laws for relevant cosmic quantities with the diameter R of the universe are derived. Especially the R-2 - scaling of mass - and vacuum energy - density directly leads to a vanishing cosmic curvature parameter k = 0 and abolishes for such universes the horizon problem. The longstanding problem of observationally indicated very low cosmic vacuum energies in contrast to the very large quantumfield estimates now is easily solved when the vacuum energy density decay with R-2 is taken into account.

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