## La Grangian Multiplier Equation in Pre Planckian Space-Time Early Universe and the Cosmological Constant.

**Authors:** Andrew Beckwith

We look at two action integrals for the early universe. One action integral as specified by Ambjorn, et.al, 2010 is part of a quantum gravity as a sum over space-time results and another is by Padmanabhan, in 2005 gives an action integral in terms of the Cosmological Constant prominently in, as a way to obtain the Einstein Equations in general relativity. The procedure in our derivation is to say that both first integrals in the Pre-Planckian space-time are giving the same ‘information’ and from there to utilize an equivalence between these two first integrals as to interpret what the Lagrangian multiplier in the Abjorn et.al. first integral is saying. In addition we interpret the Ricci scalar, in the Padmabhan first integral in terms of a treatment given by Majumbdar, 2015, which has the value of being rendered in terms of scalar factors a(t). In doing so, we utilize the physical interpretation of a Lagrangian multiplier, as given by Karrabulet which is in terms of minimum conditions needed for affecting the physics (of cosmological expansion of the universe) from first principles
Key words, Ricci tensor, inflaton physics.

**Comments:** 6 Pages.

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### Submission history

[v1] 2016-12-24 15:02:25

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