Abstract
In this paper, we present a new cosmology based on the idea of a universe dominated by vacuum energy with time-varying curvature. In this model, the universe began with an exponential Plank era inflation before transitioning to a spacetime described by Einstein’s equations. While no explicit model of the Plank era is yet known, we do establish a number of properties that the vacuum of that time must have exhibited. In particular, we show that structures came into existence during that inflation that were later responsible for all cosmic structures. A new solution of Einstein’s equations incorporating time-varying curvature is presented which predicts that the scaling was initially power law with a parameter of y=1/2 before transitioning to an exponential acceleration of the present-day scaling. A formula relating the curvature to the vacuum energy density is also a part of the solution. A non-conventional model of nucleosynthesis provides a solution for the matter/antimatter asymmetry problem and a non-standard origin of the CMB. The CMB power spectrum is shown to be a consequence of uncertainties embedded during the initial inflation and the existence of superclusters. Using Einstein’s equations, we show that so-called dark matter is, in fact, vacuum energy. A number of other issues are discussed.
Highlights
Luminosity distance curve and the third is our prediction of the CMB spectrum whose structure we show originated during an initial Plank era inflation
488 Journal of High Energy Physics, Gravitation and Cosmology sult in Sec. 8 where we show that what we will call the horizon distance is, equal to the radius of curvature and during the inflation, the radius of curvature was fixed at one Plank length
We present a new model of cosmology based on very few assumptions that completely avoids any type of exotic particle, field theory, or cosmological constant
Summary
In the FRW case, it is assumed that that all hypersurfaces have the same constant curvature with the result that the universe will appear homogeneous and isotropic to fundamental observers In this new model, on the other hand, we assert that the curvature varies with time so while the universe will appear isotropic to fundamental observers, it will not appear homogeneous even though each hypersurface on its own is homogeneous and isotropic. Two important results that follow are a prediction of a present-day exponential expansion of the universe independent of any parameter adjustments and that the time-varying curvature of spacetime is proportional to the vacuum energy density. We discuss the origin of cosmic structures and the power spectrum of the CMB from which we discover that all such structures had a common origin in an imprint that was embedded in the vacuum during the Plank era inflation bringing us back to our starting point
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