CENTER FOR PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY GOALS.March 2020
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Foundational Questions Institute
Undecidability, Uncomputability, and Unpredictability Essay Contest (2019-2020)
Submission from Bruce Camber on March 8, 2020:
Determinant becomes unpredictable, uncomputable, and undecidable
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Links in order of their appearance in the document:
 Are also the very first units of length and time?
 The “CDM of the universe” and Steven Weinberg’s “grand reductionism”
 Triangulated coordination shells
 Fourier Transform
 Lorentz Transformation
 Poincaré spheres
Planck Length multiple at one second: 299,792± km
 Automorphic forms
 Base-2, base-3, base-5, base-7, base-11 and base-13
 Aristotle’s mistake and Quantum Indeterminacy
All on one page: In the 1960s the first concepts around aperiodic tilings were introduced. In 1976 Roger Penrose introduced his unique tilings and Alan Mackay followed up experimentally to show how a two-dimensional Fourier transform (with rather sharp Dirac delta peaks) manifests a fivefold symmetry. For more, see quasicrystals and notes. In 1982 Daniel Shechtman began his public-struggle to open the exploration of quasicrystals.
Abstract: This simple mathematical model of the universe provides different domains for the dynamics of decidability , computability , and predictability  and a range of domains for their transmogrification to Undecidability , Uncomputability , and Unpredictability . By applying base-2 exponentiation to the Planck base units, the universe is parsed within 202 notations wherein which those domains may be defined. There is a domain of perfection with no quantum fluctuations and a much larger domain of imperfection where quantum fluctuations are fundamental.
We discerned three facets of pi that come out of those never-ending, never-repeating numbers. First, comes the face of continuity. It is a perfect ordering system that creates new sets of numbers and flow. Also, within those circles and spheres is a deep and abiding symmetry that gives rise to tetrahedrons and octahedrons (See Illustration 2 above) which is also a perfection. Those symmetries begin to discover symmetries and there is a simple harmony. Kepler’s music comes alive well before there is any range for human hearing!
Much more to come..
“Knowledge-building in cosmology, more than in any other field, should begin with visions of the reality, and passing to have a technical form whenever concepts and relations in between are translated into a mathematical structure.”