Abstract
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≈1.839) 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 h=H0/100=Tlog(3)/3≈0.674, Distance Ladder , , and . Due to 6-fold parallelization, the total matter density parameter is 6-fold heavier than the baryon density parameter, . A torrent of information-equivalent energy downloads from 6-fold faster 24-spacetime to 4(6)-spacetime. Consequent stress on 4(6)-spacetime causes it to resize its dynamic memory, expanding its cosmological scale. Ultimate coarsening of reality to , isomorphic to eternal time, is imminent for each observing agent in a Wheelerian participatory universe. DNA perhaps evolved from an 8 × 3-nucleotide primeval molecular code on the model’s 24 shared dimensions.
Highlights
An original quantum cosmology model is introduced which extends the author’s quantum intelligent cosmology research programme [1] [2] [3] [4]
This paper focuses on the Natural selection, evolution and function of shared dimensions in a deep learning quantum cosmology model
We explore paths framed by the Tribonacci-quantum cosmology (QC) model which potentially lead to the discovery of long-sought fundamental correspondences between general relativity and quantum mechanics
Summary
An original quantum cosmology model is introduced which extends the author’s quantum intelligent cosmology research programme [1] [2] [3] [4]. This includes a discussion on the tribonacci constant, T, which derives from the third-order tribonacci recurrence sequence. Specif= ically, Ωbh arccos T 2 4π ≈ 0.02287 ( ) and Ωm = 6Ωb = 27 arccos T 2 2π log (3)T 2 ≈ 0.30248 This formalization derives from a proposed equivalence between the physical baryon density parameter, Ωbh , and the characteristic twist angle of the 24-vertex snub cube, as a fraction of a rotational identity, 4π.
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