_{1}

^{*}

We start with a formulation of a modified “Poisson” equation from Poissons and Will as of 2014, and then use the Padmanabhan inter relationship between an inflaton and an early universe potential system. Then from there, we come up with a quadratic equation for a minimum radius, for producing a “massive graviton” value. We then close with observations as to what this implies as to gravitational physics.

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 our approximation is to call the Potential in Equation (2) to be the same as U in Equation (1), and then with re arrangements we come up with the following

Then, after algebra, we have the following

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.

In [

As far as applications to: [

Then if we use

Then if we are looking at extremely small times in the inflaton, the above becomes

Or

We claim, that warts and all, this is a first order approximation as to the distance, from the moment of creation, for definitive acquisition for a “mass” to a massive graviton, and it is a definitive restraint.

Possibly to incorporate some sort of measurement protocol, for Equation (8) this equation would have to be the absolute magnitude. This has yet to be determined in discussions the author will have with members of the HFGW in Chongqing University. But what is noticeable, is that the inflaton equation as given by Padmanabhan [

We should also attempt to assure fidelity with Equation (8) above, in what work we are doing.

Furthermore, we should keep in mind the physics incorporated in [

Doing these sort of vetting protocols is the same as with being consistent with investigation as to a real investigation as to the fundamental nature of gravity. i.e. is this a way to show if general relativity is the final theory of gravitation. i.e., if massive gravity is confirmed, as given in [

In addition, note that [

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

Beckwith, A.W. (2017) Examination of Sufficient Conditions for Forming Mass of “Massive Graviton”, from Early Universe. Journal of High Energy Physics, Gravitation and Cosmology, 3, 34-38. http://dx.doi.org/10.4236/jhepgc.2017.31006