Abstract

The following is a rendition of what was presented by the author, September 11, 2020 in the DE section of that conference. The topics, while not original, are in strict fidelity with the topics the author was allowed to present in ICRANET Zeldovich 4, 2020. We present a history of the evolution of the cosmological constant “issue” starting with its introduction by Einstein for a static universe, which did not work out because his static universe solution to the Ricci Scalar problem, and GR was and is UNSTABLE. Another model of the cosmological constant has a radius of the Universe specified which is proportional to one over the square root of the cosmological constant, whereas our idea is to use the matching of two spacetime first integrals, for isolating a nonperturbative cosmological constant solution right at the surface of the start of expansion of the universe, i.e. a phenomenological solution to the cosmological constant involves scaling of a radius of the PRESENT universe. Our presented idea is to instead solve the Cosmological constant at the surface of the initial space-time bubble, using the initially derived time step, delta t, as input for the Cosmological constant. As it is, the Zeldovich 4 Section I was in was for Dark Energy, so in solving the initial value of the Cosmological constant, I am giving backing to one of the models of DE as to why the Universe reaccelerates one billion years ago. We conclude as to a reference to a multiverse generalization of Penrose Cyclic Conformal Cosmology as input into the initial nonsingular space-time bubble.

Highlights

  • The following is a rendition of what was presented by the author, September 11, 2020 in the DE section of that conference

  • The topics, while not original, are in strict fidelity with the topics the author was allowed to present in ICRANET Zeldovich 4, 2020

  • We present a history of the evolution of the cosmological constant “issue” starting with its introduction by Einstein for a static universe, which did not work out because his static universe solution to the Ricci Scalar problem, and GR was and is UNSTABLE

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Summary

First of All the Minimum Time Step Issue Which We Will Find Is Important

Our preliminary consideration is to have the time, in Equation (4) commensurate with Planck time, whereas a radius of the “bubble” of initial space-time commensurate with Planck length, using the dimensions given in [8] Why is this initial minimum time step so important? The fault of this is that by an analysis of this given on page 275, of Plebasnki and Krasinski [9], that any perturbation of R (Ricci sc= alar) g= uv Ruv RE would lead to either lead to expanding or contracting universe states. The variation of δ gtt = am inφ as given by [1] will have an inflaton, φ given by [1] Leading to [1], [7] to the inflaton which is combined into other procedures for a solution to the cosmological constant problem. Amin is a minimum value of the scale factor [1]

Next for the Idea from Klauder
12. Where This Leaves Us
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