Five Key Calculations replace Big Bang snags.

These five key calculations may well be the foundations of a very different beginning

  1. The 202 base-2 Notations. From the first moment in time defined by Planck units to the current Time within Notation-202 has not been formally and critically reviewed within a peer-reviewed journal. It was our first calculation in December 2011.
  2. The 18.5 tredecillion infinitesimal spheres defined by the Planck base units. The logic of one infinitesimal sphere per unit of Planck Time and Planck Length will be argued and explored. Then, the simple calculation of 18.5 tredecillion spheres per second will eventually be confirmed.
  3. Speed, density and spin at Notation-1. The shape and conditions by which the first sphere defines the first moment of space-time will open the foundations of homogeneity and isotropy and introduce the concept of perfected states in space-time. Notation-0 is a key where logic prevails.
  4. The four hyper-rational irrationals, π–e–√2–φ. Within all octahedrons are four intrinsic hexagonal plates. Might these unfold π, e,√2, and φ? It is a discussion that was opened, perhaps for the first time, on 4 March 2025. Can all four be logically applied across all notations? The academic disciplines of combinatorics, cellular automaton, cubic close packing, bifurcation theory, Langlands programs, mereotology, and point-free geometry, all inform.
  5. The 7.356° angular deficit that becomes systemic, a variable around the 60th notation. Although Aristotle threw us off for 1800 years, it really amounted to more than 2400 years before a Dutch mathematician, Dirk Struik (arriving from Rome in Boston, then to MIT) in 1926 finally had his article, “De Impletione Loci,”  published. In 2012 Lagarias and Zong made reference to “De Impletione Loci” in their work, Mysteries in Packing Regular Tetrahedra (PDF), American Mathematical Society (AMS). It has taken that long to recover from a mistake in reference in the De Caelo (On the Heavens) [Aristotle (384 BCE – 322 BCE), written 350 B.C.E. Translated by John Leofric Stocks, Oxford, 1922. Online, page 306 b, 8.5 (page 126 of 250)]. The recovery from Aristotle’s mistake is still ongoing. There is a natural gap and there is an emergent gap geometry.

Hopefully, it will not take as long to recover from all of our big bang mistakes.

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