The Sun–Earth connect 1: A fractional d-matrix of solar emissions compared to spectral analysis evidence of solar measurements and climate proxies

Robert G.V. Baker

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 235-258

Abstract: The possibility that there is a constant ratio underpinning published solar cycles provides an opportunity to explore the harmonics within emission processes. This idea is initially developed by a phenomenological matrix where the elements or emission phases are underpinned by a cyclic fractional dimension d (0.39807) which is shown here to include the fine structure constant (1/137.0356). The Sun’s Carrington synodic rotation (27.275d) multiplied by the inverse of the fine structure constant creates elements of this d-matrix which yields possible sequences of self-similar phase periods between harmonic elements of solar emissions. The periodicities of the Carrington rotation is defined by row 1 (R1) and subsequent rows R2,R3,R4 are the potential phase periods of possible twisting permutations of the tachocline. For solar measurements, the first four rows of the matrix predict at least 98% of the top hundred significant periodicities determined from multi-taper spectral analysis of solar data sets (the satellite ACRIM composite irradiance; the terrestrial 10.7cm Penticton Adjusted Daily Radio Flux, Series D; and the historical mean monthly International Sunspot Number). At centennial and millennial time scales, the same matrix predicts ‘average’ significant periodicities (greater than 95%) reported in 23 published climate data sets. This discovery suggests there is strong empirical evidence for a d-cyclic fractional ‘solar clock’, where the corresponding spectrum of cycles and switching events are embedded into the historical, climatic and geological records of the Earth.

Keywords: Fractional self-similarity; Fine structure constant; Multi-taper spectral analysis; Solar periodicity; Climate cycles; Fractal Sun (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115008420
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:235-258

DOI: 10.1016/j.physa.2015.09.099

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().