A solution of the cosmological constant, using multiverse version of Penrose CCC cosmology, and Enhanced Quantization compared

We bring up this study due to the general failure of field theory methods to obtain a working solution to the Cosmological Constant problem. One of the reasons for this work is that Quintessence studies involving evolution of the Cosmological Constant over time have routinely failed in match ups with Early supernova data. The working hypothesis is that if Dark Energy is commensurate with the Cosmological Constant that the Cosmological Constant, and Dark energy would be the same from the start of inflation. The traditional model of inflation also involves due to the Penrose Singularity theorems [1]a singular point for initial expansion of the Universe. Our study clearly initiates a Cosmological constant which is invariant over time. We digress from using the Penrose Singularity theorem [1] in terms of a Cosmic bounce[2] style nonsingular initial bubble of space-time for reason we state in the manuscript. The importance we have to our work is that we are convinced that the Cosmological Constant [3][4] was set initially for conditions in the interior of a nucleated space-time bubble, with a wavefunction style calculation for collapsing infill into the space-time bubble with that wavefunction of Dark energy [5][6] to be at a minimum 10 to the 30 power times Planck length. We conclude that Polarization states for obtaining early universe high Frequency Gravitational waves detected and analyzed may be more favorable for higher dimensional generalizations of our Dark Energy generating procedures, with Klauder Enhanced Quantization[7],[8] limited to 3+1 Geometry whereas our Vacuum energy[9][10] calculation may be amendable to higher frequency calculation incantations. While considering [11],[12],[13],[14],[15],[16],[17],[18],[19] issues. In particular [19] gives us future goals to consider. As an example, could multiverse CCC allow incorporating [19] with [13]?


Introduction
We bring up this study due to the general failure of field theory methods to obtain a working solution to the Cosmological Constant problem. One of the reasons for this work is that Quintessence studies involving evolution of the Cosmological Constant over time have routinely failed in match ups with Early supernova data. The working hypothesis is that if Dark Energy is commensurate with the Cosmological Constant that the Cosmological Constant, and Dark energy would be the same from the start of inflation. The traditional model of inflation also involves due to the Penrose Singularity theorems [1]a singular point for initial expansion of the Universe. Our study clearly initiates a Cosmological constant which is invariant over time. We digress from using the Penrose Singularity theorem [1] in terms of a Cosmic bounce [2] style nonsingular initial bubble of space-time for reason we state in the manuscript. The importance we have to our work is that we are convinced that the Cosmological Constant [3] [4] was set initially for conditions in the interior of a nucleated space-time bubble, with a wavefunction style calculation for collapsing infill into the space-time bubble with that wavefunction of Dark energy [5] [6] to be at a minimum 10 to the 30 power times Planck length. We conclude that Polarization states for obtaining early universe high Frequency Gravitational waves detected and analyzed may be more favorable for higher dimensional generalizations of our Dark Energy generating procedures, with Klauder Enhanced Quantization [7], [8] limited to 3+1 Geometry whereas our Vacuum energy [9][10] calculation may be amendable to higher frequency calculation incantations. While considering [11], [12], [13], [14], [15], [16], [17], [18], [19] issues. In particular [19] gives us future goals to consider. As an example, could multiverse CCC allow incorporating [19] with [13]?
We will first start off with the redone calculation as to the Vacuum energy as given in [1] and how we rescale them to be in sync as to the observed experimental value for vacuum energy which is of the present era. This methodology is consistent with the Zero-point energy calculation, we start off with the following as given by [11] ( )

Looking now at the Modification of the Penrose CCC (Cosmology)
We now outline the generalization for Penrose CCC(Cosmology) just before inflation which we state we are extending Penrose's suggestion of cyclic universes, black hole evaporation, and the embedding structure our universe is contained within, This multiverse has BHs and may resolve what appears to be an impossible dichotomy. The fol lowing is largely from [13] and has serious relevance to the final part of the conclusion .That there are N universes undergoing Penrose 'infinite expansion' (Penrose) [18] contained in a mega universe structure. Furthermore, each of the N universes has black hole evaporation, with Hawking radiation from decaying black holes. If each of the N universes is defined by a partition function, called However, there is non-uniqueness of information put into partition function Hawking radiation from black holes is collated via a strange attractor collection in the mega universe structure to form a new inflationary regime for each of the N universes represented Our idea is to use what is known as CCC cosmology [13], [18], which can be thought of as the following. First. Have a big bang ( initial expansion) for the universe which is represented . Verification of this mega structure compression and expansion of information with stated non-uniqueness of information placed in each of the N universes favors ergodic mixing of initial values for each of N universes expanding from a singularity beginning. The f n stated value, will be using (Ng, 2008) f entropy n S~. [20] . How to tie in this energy expression, as in Eq.(12) will be to look at the formation of a nontrivial gravitational measure as a new big bang for each of the N universes as by  ) ( i E n the density of states at energy i E for partition function [13], [14]. Each of i E identified with Eq.(9) above, are with the iteration for N universes [13],and [18] (Penrose, 2006) Then the following holds, by asserting the following claim to the universe, as a mixed state, with black holes playing a major part, i.e.

CLAIM 1
See the below [13] representation of mixing for assorted N partition function per CCC cycle (10) For N number of universes, with each regime nucleation before j j − − −  for j = 1 to N being the partition function of each universe just before the blend into the RHS of Eq. (10) above for our present universe. Also, each independent universes as given by by the absorption of one to ten million black holes taking in energy. I.e. (Penrose) [18]. Furthermore, the main point is done in [13] in terms of general ergodic mixing [21][22] [23] Claim 2 What is done in Claim 1 and 2 [13] is to come up as to how a multi dimensional representation of black hole physics enables continual mixing of spacetime [13], [18], [22], [24] largely as a way to avoid the Anthropic principle [13][25], as to a preferred set of initial conditions 30 10

Looking at the Modification of the Penrose CCC (Cosmology) We argue this modification is mandated by having the initial DE wavefunction set as
After having set this in place we will be comparing this method to the Klauder argument

Looking at Klauder Enhanced Quantization for Cosmological Constant:
We use the Padmanabhan

Next for the idea from Klauder
We are going to go to page 78 by Klauder Our assumption is that  is a constant [13], hence we assume then use the approximation , from [8], and [13] ( ) ( ) 22 00 00 Our innovation is to then equate 00 q q p t  = and to assume small time step values.

Results: comparing Eq (1) implications with Eq (12)
The significance of the procedure is that with tweaking we may be seeing the actual realization of classical gravity as an Eikonal Approximation to quantum theory [29] [30] as what was brought up by Horowitz and Oron in a highly nonstandard way as seen in reference [30 ] which gives a different interpretation to Eq. (15) above,. The term we refer to as Eikonal approximation to a quantum state has the form of the following decomposition. From Powell and Crasemann, [31] we have the decomposition of Geometric style decomposition of the optical wave equation of  Here the time t would be proportional to Planck time, and r would be proportional to Planck length, whereas we set

We compare Eq. (1) and Eq. (12) with the above new information
To compare these two values we can state that within the bubble, that just before the bubble boundary, we have 0 N = , hence we look at, initially In Eq. (31) we will also make the following identification ( )

First of all, as noted by Kieffer, the wavefunction in Eq. (28) vanishes if r=0. We avoid having a vanishing wavefunction by asserting that we will be making an evaluation of it in the neighborhood of a Planck Length. Secondly in making this assumption we are at least proceeding in a direction where we can ditch the Anthropic principle, which I consider a MAJOR blight on cosmology. I also too though this this procedure as outline is experimentally verifiable, once we understand what may constitute embedding of Quantum Mechanics within a deterministic structure. The entire referral of this problem can be contrasted with the solution given in [ 19 ] by Rosen, which is in the mode of Quantum mechanics for a single particle in an isotropic universe, The primary difference between the Rosen approach, [19] and what is done in this document is that the mass of a graviton, is proportional to the square of the Cosmological constant, an assumption which Rosen does not make. In addition the Rosen document assumes that "
The situation is somewhat analogous to the quantum mechanics of a single particle as compared to quantum field theory" and assumes an isotropic background We do not confine ourself to Isotropic backgrounds. We also do share with Rosen {19] a procedure as to rendition a linkage between classical to quantum mechanical treatment of our problem, but our work is more in tune with using what Powell and Craseman in their book on quantum mechanics used, [ ] which is similar to a limiting case of geometric optics.

Hence this expanded treatment whereas the Rosen treatment as Corda outlined is
Equation (34) can be seen in [35] as well as [36] Whereas We postulate that we specify an initial era frequency via dimensional analysis which is slightly modified by Maggiore for the speed of a  25 10 Earth orbit initial era And this partly due to the transference of cosmological 'information' as given in [13] for a phantom bounce type of construction .Further point that since we have that gravitons travel at nearly the speed of light [36], Our preliminary supposition is that Eq. (40) could represent the initial energy of a Pre Planckian Universe and that Eq.(37) be the thermal energy dumped in due to the use of Cyclic Conformal cosmology ( maybe in multiverse form) so that if there is a build up of energy greater than Eq.(40) due to thermal build up of temperature due to infall of matter-energy, we have a release of Gravitons in great number which would commence as a domain wall broke down about in the Planckian era with a temperature of the magnitude of Planck Energy for a volume of radius of the order of Plank Length. This will be investigated in detailed future calculations . All this should be in fidelity, in experimental limits to [37], as well as looking at ideas about Quantum tunneling we may gain from [38] as to understand the transition from Pre Plankian to Planckian physics [39] [40] acknowledgement This work is supported in part by National Nature Science Foundation of China grant No.