Using Klauder’s Enhanced Quantization to set a bound to Cosmological constant, in Pre Planckian space- to ascertain the most important question

Andrew Walcott Beckwith

Physics Department, Chongqing University, College of Physics, Chongqing University Huxi Campus, No. 44 Daxuechen Nanlu, Shapinba District, Chongqing 401331, People’s Republic of China

[email protected]; [email protected]

Abstract

We are looking at comparison of two action integrals and we identify the Lagrangian multiplier as setting up a constraint equation (on cosmological expansion). In FFP 15, in the Author’s presentation, one of the two compared action integrals was from Hambler’ Quantum Gravity reference, while another was given as similar to the action principle of the Hilbert idea of General Relativistic derivation of the Einstein Field Equations. What we have done is to replace the Hambler Quantum gravity reference based action integral with a result straight from John Klauder’s “Enhanced Quantization” tome. In doing so, with also a nod to Thanu Padamabhan’s treatment of the inflaton, we then commence to initiate an explicit bound upon the cosmological constant. The further approximation is to use the inflaton results, and conflate them with John Klauder’s Action principle for a way to , if we have the idea of a potential well, generalized by Klauder, with a wall of space time in the Pre Planckian regime to ask what bounds the Cosmological constant prior to inflation. We argue this is the most important fundamental question in physics today, for reasons we elaborate upon in the conclusion. Section 6 details my actual answers to the essay’s ideas, in lieu of the creation of this answer to the cosmological constant due to enhanced quantization.