CENTER FOR PERFECTION STUDIES: CONTINUITY • SYMMETRY • HARMONY • AUSTIN, TEXAS • USA • Goals • 2018
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72 of 202: A grid-matrix-system for everything, everywhere for all time, Not a theory or vision, just math.
A totally-integrated chart (map) of the universe. Back in December 2011, our high school geometry classes backed into a simple chart or map of the universe created by multiplying the Planck Length by 2, and each subsequent result by 2, until in 202 steps these simple calculations approximated the size of the universe. It is a fascinating chart of numbers. Big Board History
By April 2015 we had added Planck Time, Planck Mass and Planck Charge. All the simple calculations were finally on one page. It became a vertically-scrolled chart that opened a very different story about the beginning of the universe and its evolution.
An assumed first principle of the universe is continuity. That concept guided our thinking. We defined continuity as the initial condition of order which is the initial condition for numbers and that is the initial condition for time, and that is a face of infinity.
Just 202 integrated steps. This chart of the universe challenges us even though it is simple. By definition it includes everything, everywhere, throughout all time. This mathematics of doubling provides a first-level integration of the universe with that simple continuity equation. Hardly linear, in 2016 the chart was re-rendered with all the data within a horizontally-scrolled chart. Based entirely on dimensionless constants, we have found nothing quite like it anywhere online.
A natural inflation. That natural progression has its own logic. The numbers in each row (or column) provide sufficient data to compare against the most current scientific and mathematical data, i.e. correspondence with current research of the Standard Model in Particle Physics and the epochs defined by the Standard Model for Big Bang Cosmology. Most of the numbers correlate quite well. There is a consistent logic. Though still quite challenging, unlike inflationary models, the results of each doubling do not require an extralogic. Within this model/chart, a natural inflation is created throughout the universe. Initial analysis And the test data
Redefinition of light. We know from Max Planck’s work that light, c, is equal to Planck Length divided by Planck Time. It is a ratio. Multiplying each of these base units by 2 results in a new ratio and each result is within about 10% of all other results. There is a variable speed of light (See line 10 within the chart). It is not always constant from one step to the next. The current or “most recent” doubling is the 202nd notation. It has a duration of about 346,545,888,147,200,000 seconds. That is approximately 10.9816 billion years. The entire history of people and much of the history of this earth are in our current doubling. Light Universe Clock
Simplicity before complexity. In contrast with the infinitely hot, infinitely dense (big bang cosmology), this model begins with the infinitesimally small units of time and length, and the very small units of mass and charge. It was dubbed the Quiet Expansion. Surprisingly, that very small charge quickly becomes a major thrust. Comparison Thrusts Simple
Space. The first measurements of a length occur within those labs with large accelerators like the most famous in Geneva, the Large Hadron Collider (CERN). Yet the boundary conditions and the initial conditions that define particles, flavors and spins are not easily delineated.* In our Quiet Expansion model these initial conditions were, in part, defined between 1899 and 1905 by Max Planck using universal dimensionless constants. In 2001 Frank Wilczek further refined our understanding of these units. Comparison between the Big Bang and Quiet Expansion
Time. Planck Time logically defines the very first moment of this universe. The first full second of our universe requires 143 doublings. Already some of the most complex structures of the universe could have emerged. Our labs cannot measure time any faster than the 84th notation [See emails to Ferenc Krausz / Vladislav S. Yakovlev]. Using the well-studied results of the 64 doublings of wheat on the chessboard, we know there is a potential abundance of mathematics to be considered from the very first moment of time to that 84th notation and then from that 84th doubling to just over the 143rd at one second.
So, although all 202 notations will be studied throughly, the first ten are keys from simplicity to complexity and the next 133 notations to that first full second of processing within our universe will be studied as our working foundations for complexity.
Quiet Expansion model. A goal is to identify and begin to understand the most simple dimensionless constants. Among them are pi and the definition of a sphere and the consideration of how spheres evolve into the tetrahedral-octahedral couplet and explode as complex structures, complexity itself, and chaotic systems. Initial analysis of Pi
Hypostatic. The sphere and pi open up all the dimensionless constants to analysis to discern necessary relations to particular structure. The first sets of structures within notations 1 thru 60, are all below the thresholds of measurement by any instrument in today’s laboratories. Here we guess and hypostatized that the foundations of isotropy-and-homogeneity and of dark matter and dark energies all reside. Although too small and too fast, the logic of our most simple numbers and structure provides a means to move forward. It might best be understood as a hypostatic logic and science. More Dimensionless constants
Our second principle was symmetry. It is understood to be the initial condition for relations which is an initial condition for geometries and that was an initial condition for space and also a face of infinity.
Dimensionless constants. Our current work includes learning about each dimensionless constant to discern if there is an ordering principle that groups constants and helps to answer such questions as, “Which constants come first? Which constants build upon another? What structures are necessarily related to each constant (such as pi with the sphere)? Do some (or all) dimensionless constant reside within both that which is finite and that which is infinite? Do they create a finite-infinite bridge?” Finite-Infinite What is infinite? Dimensionless constants
Prime numbers. Prime numbers are important because there is a first level of integration through the simple doublings, yet each represents a second level of integration that is fully emergent and dependent on its inherent values and actions. Current work includes learning about the relation between prime numbers, number theory, and structure. Ongoing analysis
A third principle, harmony, was inextricably woven within continuity and symmetry, and it is the initial condition of dynamics which was the initial condition for systems which is the initial condition for a moment in space-time, and also a face of infinity.
These three first principles are studied individually but they are seen as a whole uniquely defining the first moment of the universe. Of our living scholars, many of the thought leaders are calling on their fellow scholars to throw out their preconditions and preconceptions and to start all over again. That is how perplexed the academic community is today.
Our naïvetés certainly provide some ground for “no preconceptions.” Though we like simplicity, beauty and harmony, we just backed into a natural Zeno-like exercise using a simple function, divide by 2, and later, multiply by 2. Why Now? Versus big bang dystopia
We have been inspired by the work of hundreds of scholars and more-recently, by the special openness of Neil Turok, Nima Arkani-Hamed, and Max Tegmark.
* In 2002 Andreas Albrecht walked through some of that logic within his article, Cosmic Inflation and the Arrow of Time in ArXiv.
**A related page is Einsteins’s Postulates. It became a homepage on April 18.