%0 Journal Article
%T Tribonacci Quantum Cosmology: Optimal Non-Antipodal Spherical Codes & Graphs
%A Angus McCoss
%J Journal of Quantum Information Science
%P 41-97
%@ 2162-576X
%D 2019
%I Scientific Research Publishing
%R 10.4236/jqis.2019.91004
%X Degrees of freedom in deep learning, quantum
cosmological, information processing are shared and evolve through a
self-organizing sequence of optimal
, non-antipodal
, spherical codes,
. This Tribonacci
Quantum Cosmology model invokes four
codes: 1-vertex,
3-vertex (great circle equilateral triangle), 4-vertex (spherical tetrahedron)
and 24-vertex (spherical snub cube). The vertices are einselected centres of coherent
quantum information that maximise their minimum separation and survive
environmental decoherence on a noisy horizon. Twenty-four 1-vertex codes,
, self-organize into eight 3-vertex codes,
, which self-organize into one 24-vertex code,
, isomorphic to dimensions of
24-spacetime and 12(2) generators of SU(5). Snub cubical
24-vertex code chirality causes matter asymmetries and the corresponding
graph-stress has normal and shear components relating to respective sides of
Einstein¡¯s tensor equivalence
. Cosmological scale factor and Hubble parameter evolution is
formalized as an Ostwald-coarsening function of time,
scaled by the tribonacci constant (T¡Ö1.839) property of the snub
cube. The 24-vertex code coarsens to a broadband 4-vertex code,
isomorphic to emergent 4-spacetime and antecedent structures in 24-spacetime
metamorphose to familiar 4-spacetime forms. Each of the coarse code¡¯s
4-vertices has 6-fold parallelized degrees of freedom (conserved from the
24-vertex code),
, so 4-spacetime is properly denoted 4(6)-spacetime.
Cosmological parameters are formalized: CMB