^{*}

We look at the Vuilli (1999) write up of a generalized Schrodinger equation with its Ricci scalar inclusion, in curved space-time. This has a simplified version in Pre-Planckian regime, which leads to comparing a resultant admissible wave function with Bohmian reformulations of quantum physics. As was done earlier, we compare this result with a formulation of a modified “Poisson” equation from Poissons and Will from 2014, and then use inflaton physics. The resulting inflaton is then compared to the wave functional in the first part of this document.

Here, we bring up [

In [

Through the following substitutions,

Then, after more derivation [

We will re write Equation (3) to read as follows, with the result that in Pre-Planckian space-time

Ricci tensor

We will be identifying what to put into [

We are assuming that the term

Having said this, with an evolutionary equation statement as to the phase value of

In order to do this, it may be useful to look at the classical degeneracy argument for forming

Now, use the usual given

If using Ng infinite quantum statistics, [

And if we have here that ^{5} or so initial entropy, as a way to quantify the input into the formation of an initial wavefunction, using entropy as equivalent to information as given by Lloyd [

We will go to the [

Using this, and stating that in the Pre-Planckian regime of space-time due to [

Here, we have that the initial volume

Having said that, let us use a semi classical argument as to why the radii would not go to zero, even in Pre-Planckian space-time. This would be to insure that

We will first of all refer to two necessary and sufficient conditions for the onset of a massive graviton given in [

i.e. what we will be doing is to re do the reference calculations given in [

Here, we will be using in the Pre-Planckian potential the inputs from the data usually associated with [

In other words, we will be using the inflation given by

If so, then

Then, after algebra, we have the following, from [

The quadratic Equation this engenders is, how to say

A candidate for the density functional will come next, with the way of obtaining a critical value for r is given by [

As far as applications to: [

This would, lend itself to a quadratic equation for r, and the cube of r would be proportional to

What we are examining if our qualitative argument which in sum yields a Pre- Planckian wavefunction as compared against the construction given in [

According to [

Here,

Here, if we use

Here, M would be given by Equation (9), i.e. and V were given by Equation (18) we would find to a point that

i.e. the term

The question to ask, is the following true? This has to be confirmed rigorously.

The significance of proving or falsifying Equation (24) will in the end be part of future data analysis which should not contravene [

Furthermore, we have that analysis of Equation (24) may be in tandem with analysis of the Corda paper [

Finally, since our paper is with respect to relic conditions, if so, then if we are to use a variant of interferometer methods, reference [

This work is supported in part by National Nature Science Foundation of China grant No. 11375279.

Beckwith, A.W. (2017) Examination of Schrodinger Equation in Pre-Planckian Space-Time Early Universe. Journal of High Energy Physics, Gravitation and Cosmology, 3, 21-28. http://dx.doi.org/10.4236/jhepgc.2017.31004