by Bruce Camber, November 15, 2016 Updated : March 2018
The answer to that question appears to be, “Yes.” There is a very simple, natural process by which natural inflation quietly encapsulates the universe.  Start at Planck Length / Planck Time and Planck Mass / Planck Charge and accept for now that there is a thrust within this initial start of the universe. In just 202 doublings you arrive at the current Age of the Universe and the current size of the universe. Here is a detailed matrix of just over 202 columns to follow the simple logic whereby each Planck base unit doubles over and over and over again.  Logical, most-simple, integrated, and predictive, this mathematical view of the universe can be tested, compared and contrasted with many of the existent measurements currently accepted within every dimension of science from particle physics to cosmology and astrophysics.  It should be noted, however, that over two-thirds of the entire chart is a focus on the first second of creation (from the first notation through to notation 144).  A light year is encapsulated within notation 169.  The first aeon, a billion years, is within notation 199.  All of human history is easily within a very small part of notation 202.
Our study of the cumulative nature of addition and multiplication is on-going. By looking at the raw data, this simple, little model would appear to provide a clear alternative to big bang cosmology.  It reinforces the extensive work on natural inflation, and it provides a very different entry point for questions about Dark Energy and Dark Matter, isotropy-and-homogeneity, and the very nature of space-and-time and the finite-and-infinite. 
Not until February 2014 had anybody done the simple-but-tedious work to double the infinitesimal Planck Time, then double each result 201 more times. As a consequence, this matrix or grid has had very limited study.
The 202-column chart of the universe that starts at Planck Time and goes to the Age of the Universe reveals a simple logic for natural inflation that readily mimics the big bang cosmology of Stephen Hawking’s infinitely-hot bang or the axionic inflaton of Alan Guth. 
Because it is an entirely predictive chart, this nascent base-2 model can readily be tested with existing data from all other models of the universe.
 Start from the bottom: https://81018.com/bottom-up/
 Most-basic transformations: https://81018.com/transformation/
 The thrust of the universe: https://81018.com/thrust/
 The Chart: https://81018.com/chart
 On measuring the universe with the Planck Units
 The First Second: https://81018.com/chart/#142
 A light year: https://81018.com/chart/#Second
 An aeon: https://81018.com/chart/#Aeon
 Alternatives to big bang cosmology: https://81018.com/2016/10/13/flood/
 Space-time, finite-infinite: https://81018.com/infinite/
 Stephen Hawking and Alan Guth: https://81018.com/big/
ArXiv and Wikipedia Resources:
• Natural Inflation: Consistency with Cosmic Microwave Background Observations
__ Katherine Freese (Univ. of Michigan), William H. Kinney (Univ. at Buffalo, SUNY)
• Wikipedia: On Inflation… Specially focus on the Criticisms
• Modified Planck Units