Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/20187
Title: The Sun-Earth connect 2: Modelling patterns of a fractal Sun in time and space using the fine structure constant
Contributor(s): Baker, Robert G  (author)
Publication Date: 2017
DOI: 10.1016/j.physa.2016.10.073
Handle Link: https://hdl.handle.net/1959.11/20187
Abstract: Self-similar matrices of the fine structure constant of solar electromagnetic force and its inverse, multiplied by the Carrington synodic rotation, have been previously shown to account for at least 98% of the top one hundred significant frequencies and periodicities observed in the ACRIM composite irradiance satellite measurement and the terrestrial 10.7cm Penticton Adjusted Daily Flux data sets. This self-similarity allows for the development of a time-space differential equation (DE) where the solutions define a solar model for transmissions through the core, radiative, tachocline, convective and coronal zones with some encouraging empirical and theoretical results. The DE assumes a fundamental complex oscillation in the solar core and that time at the tachocline is smeared with real and imaginary constructs. The resulting solutions simulate for tachocline transmission, the solar cycle where time-line trajectories either 'loop' as Hermite polynomials for an active Sun or 'tail' as complementary error functions for a passive Sun. Further, a mechanism that allows for the stable energy transmission through the tachocline is explored and the model predicts the initial exponential coronal heating from nanoflare supercharging. The twisting of the field at the tachocline is then described as a quaternion within which neutrinos can oscillate. The resulting fractal bubbles are simulated as a Julia Set which can then aggregate from nanoflares into solar flares and prominences. Empirical examples demonstrate that time and space fractals are important constructs in understanding the behaviour of the Sun, from the impact on climate and biological histories on Earth, to the fractal influence on the spatial distributions of the solar system. The research suggests that there is a fractal clock underpinning solar frequencies in packages defined by the fine structure constant, where magnetic flipping and irradiance fluctuations at phase changes, have periodically impacted on the Earth and the rest of the solar system since time immemorial.
Publication Type: Journal Article
Source of Publication: Physica A: Statistical Mechanics and its Applications, v.468, p. 508-531
Publisher: Elsevier BV, North-Holland
Place of Publication: Netherlands
ISSN: 1873-2119
0378-4371
Fields of Research (FoR) 2008: 020109 Space and Solar Physics
Fields of Research (FoR) 2020: 510108 Solar physics
Socio-Economic Objective (SEO) 2008: 960310 Global Effects of Climate Change and Variability (excl. Australia, New Zealand, Antarctica and the South Pacific) (excl. Social Impacts)
Socio-Economic Objective (SEO) 2020: 190507 Global effects of climate change (excl. Australia, New Zealand, Antarctica and the South Pacific) (excl. social impacts)
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Appears in Collections:Journal Article

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