Multiple-coordinate mutual signals of planetary orbits, as dimensionally-compacted estimators, are gravitationally-correlated to sunspot cycle length and variation through magnetohydrodynamic tidal forces and nonlinear coronal feedbacks with solar magnetic field, with respect to the nonstationary distribution of solar wind stream and shock interaction regions. [updated to incorporate N=7, N=11, N=22, and N=45 O1+O2 LIGO-Virgo event catalogues 2019-0520]
A series of plots of conventional analyses of time series and Fourier analysis of sunspot and radio flux cyclicity are included below. Data involved can be found at these links:
https://omniweb.gsfc.nasa.gov/coho/helios/planet.html
http://www.sidc.be/silso/datafiles
https://en.wikipedia.org/wiki/List_of_gravitational_wave_observations
https://arxiv.org/abs/1811.01921
https://arxiv.org/abs/1811.12907
http://spaceweatherlive.com/en/archive/
https://www.swpc.noaa.gov/observations
https://www.ngdc.noaa.gov/stp/satellite/goes/dataaccess.html
ftp://sohoftp.nascom.nasa.gov/sdb/goes/ace/daily/
https://satdat.ngdc.noaa.gov/sem/goes/data/
Charge potential modulation of electromagnetic field boundary density and coupling relations at vacuum gaps may result from bifurcations and shocks in solar-interplanetary stream interaction regions, intimately related both to the formation and stability of coronal holes, cyclical behavior of ICMEs, and to the triggering of sawtooth trans-magnetospheric mode propagating between geomagnetic bounds and the interplanetary magnetic field [Cai and Clauer 2013]; deterministic aspects of metastable vacuua in co-rotating interaction regions [Cairns 1999] are expressed in the eigenmodes and eigenphases of sawtooth events. Solstice-Equinox clustering is significant for LIGO events and Sawtooth events, with effective geomagnetic maxima and minima often preceding or following seasonal boundaries with intervals of 3,5,7,21, and 27/8 days (consistent with LIGO trigger days and periods of X-ray flare activity, also significantly-correlated to the 27-day lightning cycle) [Cai and Clauer 2013]. Magnetic outflow, mirroring the dynamics of coronal holes, may drive sawtooth events, which may produce transients due to plasma instability at bifurcating vacuum gaps with enhanced solar wind pressure.
Here, the 12-year Jupiter orbit seems to control the Schwabe cycle reciprocally with Earth's orbital perturbation, resulting [with perturbative power from multiple-bodied planetary gravitational harmonics] in strong 8-year sub-cycles:
The 6 to 8-year component is strongly-resolved, paired with the 10 to 12-year component in PSDs (with integer z-scores as powers of 2) of solar radio flux and sunspots (SSN). Just as compelling, the 165 year orbit of Neptune is also a strong mode in the PSD of solar radio flux. When applied to the available extended sunspot count model after 11-year trend smoothed and with respect to harmonic conjugation, these partitions can be integrated directly (see ASD and DCT analysis below). Mercury and Uranus in relation to the gravitational interplay between the sun and Earth-Moon explain the data better than the norms of consecutive planetary vectors, the orbital paths of intervening planets omitted. These 3-bodied systems are indicated [Me, Ea, Ju] and [Ea, Ju, Ur]. The entire eight-planet system follows the same consecutive rule, Me, Ve, Ea, Ma, Ju, Sa, Ur, Ne:
Examples of event embeddings into extended time domain superpositions I have performed toward the elimination of correlations between LIGO event timing and various geomagnetic, ionospheric, magnetospheric, interplanetary magnetic field, and solar coronal data: time domain histograms (superposed epoch analyses) and statistical functions for solar, IMF/solar wind, magnetosphere, and ionosphere records.
These are some admittedly strange (but formally correct) results demonstrating that particular anomalous space weather intervals are also correlated with sawtooth oscillations and magnetospheric proton injection events through LIGO triggers:
The Saturn orbit-asynchronous great storm of 2010-11 [Sánchez-Lavega et al. 2016] is a strong peak in the RMS signal of the mutual orbits of [Me, Ve, Ea, Ma, Ju, Sa, Ur, Ne] with respect to nonlinear and self-gravitating body-specific variations with regard to infinitesimal changes in solar distance around barycenter:
Sunspot number (SSN) for the three-day interval centered on GW triggers preserves primitive combinatorial relationships, evidence for orbit/stream sector control of global bifurcations that generate topological solitons at planetary scale given quasiperiodic Earth|Solar system joint coordinate evolution; interesting number theoretic principles may underlie the long-range order of corona-modulating Solar feedbacks in the weak perturbation regime with IMF topological memory and harmonic lags; There is strong preference for 0, with 0,11 in ~sqrt(2)=|1,1|. 11, a prime number and found also in the mean period of the Schwabe SSN cycle, appears as the strongest central tendency during LIGO events/Sawtooth events, themselves possessing singular, degenerate properties, containing scale-invariant groupoids/motifs. Symmetry-breaking critical oscillatory states uncannily iterate coherent eigenstates. GW intervals resemble a kind of continuous singular shock-driven phase transition that is not exclusive to the insular dynamics prescribed by official interpretations of LVC data:
1. 0,11 sunspots; LIGO GW N=32 events (current as of 2019-0806 for O3), day/yr, luminosity distance 2. Sunspot-free days; LIGO GW N=32+O1/O2/O3 N=47 rejected events, day/yr:
Sunspot-free days; LIGO GW N=11 events, day/yr, luminosity distance, energy radiated:
Sunspot-free days and all Fibonacci number daily counts/yr; LIGO GW events, day/yr, luminosity distance:
Solar wind density (P) and dynamic pressure (PDYN) for strict four-hour stretching mode-loading-dipolarization-unloading SMC-MSE oscillation periods surrounding GW triggers, a sample of which are plotted here; their deterministic eigenvalues have discrete functional dependency on co-orbital IMF tearing mode generation through inelastic propagation of vacuum-like transverse magnetic field domain walls in degenerate superposition. A caustic-like critical eigenstate with fractional, quasiperiodic continuity (singular boundary-initial conditions) emerges with respect to invariant multipole orthogonality, coincident with MSE, with properties of topological quantum-critical systems:
Sunspots, January 1749-Feb. 2009, y/x=count/mo.:
There should be no multiple-correlations to exact variation in broad, coupled planetary orbit and interplanetary-solar magnetic field phase change with the timing, distance, energy, and magnitudes of gravitational wave events; this ensemble covariance appears throughout multi-control re-analysis. Revision of LIGO GW event parameter estimation is now unavoidable, unless coincident sawtooth events are found to be causally independent from LIGO noise floor (which shares power with "signal" during LIGO events and cannot be merely symmetrically subtracted)
A public, exhaustively-controlled, multiply-falsifiable, and analytically/mathematically-rigorous program that applies the most stable numerical methods equally and exhaustively onto all available datasets for any time scale possibly comparable to any possible domain of LIGO GW stochastic-transient density has been lacking. LIGO magnetometer data are not available for O1 or O2, nor data completion/coverage intervals and quality flag times available for O2, which are necessary for calculating the extended joint probability for coincident sampling periods with paired detection.
https://losc.ligo.org/data/
https://losc.ligo.org/events/
https://losc.ligo.org/O1/
https://losc.ligo.org/timeline/show/O1/H1_DATA*L1_DATA/1126051217/11203200/
LIGO-Virgo have failed to express their concern for checking the complementary fitness of statistical-numerical NR models with the evolution of phase behavior in strain noise surrounding putative GW transients; noise levels exceed GW signal amplitude during detection periods in raw data by several orders of magnitude.
Sunspot-free days and all Fibonacci number daily counts/yr; LIGO GW events, day/yr, luminosity distance:
Solar wind density (P) and dynamic pressure (PDYN) for strict four-hour stretching mode-loading-dipolarization-unloading SMC-MSE oscillation periods surrounding GW triggers, a sample of which are plotted here; their deterministic eigenvalues have discrete functional dependency on co-orbital IMF tearing mode generation through inelastic propagation of vacuum-like transverse magnetic field domain walls in degenerate superposition. A caustic-like critical eigenstate with fractional, quasiperiodic continuity (singular boundary-initial conditions) emerges with respect to invariant multipole orthogonality, coincident with MSE, with properties of topological quantum-critical systems:
Sunspots, January 1749-Feb. 2009, y/x=count/mo.:
There should be no multiple-correlations to exact variation in broad, coupled planetary orbit and interplanetary-solar magnetic field phase change with the timing, distance, energy, and magnitudes of gravitational wave events; this ensemble covariance appears throughout multi-control re-analysis. Revision of LIGO GW event parameter estimation is now unavoidable, unless coincident sawtooth events are found to be causally independent from LIGO noise floor (which shares power with "signal" during LIGO events and cannot be merely symmetrically subtracted)
A public, exhaustively-controlled, multiply-falsifiable, and analytically/mathematically-rigorous program that applies the most stable numerical methods equally and exhaustively onto all available datasets for any time scale possibly comparable to any possible domain of LIGO GW stochastic-transient density has been lacking. LIGO magnetometer data are not available for O1 or O2, nor data completion/coverage intervals and quality flag times available for O2, which are necessary for calculating the extended joint probability for coincident sampling periods with paired detection.
https://losc.ligo.org/data/
https://losc.ligo.org/events/
https://losc.ligo.org/O1/
https://losc.ligo.org/timeline/show/O1/H1_DATA*L1_DATA/1126051217/11203200/
LIGO-Virgo have failed to express their concern for checking the complementary fitness of statistical-numerical NR models with the evolution of phase behavior in strain noise surrounding putative GW transients; noise levels exceed GW signal amplitude during detection periods in raw data by several orders of magnitude.
