Sun-Earth-Man - PlasmaResources

76 SUN-EARTH-MAN: A MESH OFCOSMIC OSCILLATIONS
Figure 32 explains why in 1982 the adive phases in the dwidt cycles displayed
emphons of such high intens~ty. Contrary to former years, zero phases and
extrema of the curve of the angular acceleration of the composed vector of che
tidal forces of Venus, Earth, and Jup~ter formed just in 1982 a wealth of
consonant intervals of musical harmony. Vertical flat triangles in Figure 32
indicate the limits of the respective intervals. At the top two fifths (2 : 3) are
formed by the positive extrema in the curve In the middle, around the hme
axis, the zero phases appear just at :uch distances that they represent a fou~+h
(3 : 4), a major third (4 : 5), and a minor third (5 : 6). Eventually, three of the
I four negative extrema form a minor sixth (5 : 8). Such connection of an
accumulation of consonant intervals and strong solar activity is a common
feature. Only when the 11-year sunspot cycle is in its deepest valley, IS there
no effect because of the lack of an energy potentialthat could be tapped
Figure 33 repeats the former presentation of thk prototypal pattern of a
composite wave formed by the superimposition of the fourth, fifth, and sixth
harmonics of JU-CM-CS cycles of any length. The positive phases coincide
with clusters of solar cosmic ray events (P), observed from 1942 to 1969, and
flare-generated X-ray bursts 3 X4, indicated by arrow heads, registered from
1970 through 1987. It has been stressed in the explanation of Figure 26 that the
ratio 4 : 5 : 6 of the composed harmonics is representative of the major perfect
chord. Figure 33 shows m addition that the centroids of clusters of highly
energetic events mark intervals of the major sixth (3 : 5) rather precisely. This
is indicated by vertical flat triangles and large numbers on top of the plot.
Furthermore, the octave (1 : 2) and the major third (4 : 5) form substructuce~
that are indicated on the right of Figure 33 by small numbers between the arrow
heads. As the prototypal pattern in Figure 33 presents a synopsis of the most
energetic category of solar eruptions recorded for the past 45 years, it
corroborates the hypothesis that consonant intervals play an important role
with respect to the Sun's eruptional activity.
'
XV. WARMONICAL CONSONANCES IN SOLAR CYCLES COVERlNG
THOUSANDS OF YEARS
Another confirmation of this hypothesis are the connections presented in
Figure 34 that cover thousands of years. It has been shown in Figure 19 that
consecutive impulses of the torque IOT in the Sun's motion about CM, when
taken to constitute a smoothed time series, form a wave-pattern the posit~ve
and negative extrema (?A3 of which coincide with maxima in the secular
sunspot cycle This Gleissberg cycle, with a mean period of 83 years, which
modulates the intensity of the 11-year sunspot cycle, is in turn modulated by
a supersecular sunspot cycle with a mean period of about 400 years. The
Maunder Minimum of sunspot activity in the 17th century and a supersecular
maximum in the 12th century are features of this supersecular cycle. It seems
to be related to the energy in the secular wave presented in ~ i~kre 19.
This energy may be measured by squared values of the secuIar extrema &A,.
When 'these values are taken to form another smoothed time series, a
supersecular wave emerges as plotted in Figure 34."' it runs parallel with the
supersecular sunspot cycle. Its mean period is 391 years, but it varies from 166
to665 years. Each dot in the plot indicates the epoch of a secular extremum
(&A,). These epochs are numbered from -64 to +28 and range from 5259 B.C.
to 2347 A.D. Black triangles indicate maxima in the correlated supersecular
sunspot curve and white triangles minima. The medieval maximum, which
was together a climate optimum (O), the Spoerer Minimum (S), and the
Maunder Minimum (M) are marked by respective abbreviations. The extrema
in the supersecular wave properly reflect all marked peaks and troughs in the
supersecular sunspot curve derived from radiocarbon data by amo on and
Eddy."'
Phase jumps are a common feature of all kinds of cyclic time series observed
in Nature. Diverse examples of phase jumps in series of short-term cycles have
been presented above. The energy wave in Figure 34 is an intriguing example
of phase changein series of long-term cycles. The dashed horizontaI lines mark
two quantitative thresholds. When the energy in the wave transgresses the
upper line, or falls beneath the lower line, a phase jump emerges in the
correlated supersecular cycle of sunspot activ~t~.-At the cruhal set off
in Figure 34 by dotted vertical lines, the extrema change sign; a preceding
supersecular maximum is not followed by a minimum, but by another
maxlmum, or a minimum by a further miaimurn. More details of these
connechons have been given in special pubhcations. One of the consequences
that can be derived from the energy wave is the forecast of an imminent
supersecular sunspot minimum around 2030 A.D. The dotted vertical fine
quite on the r~ght of Figure 34 points to the epoch of a phase change such that
the supersecular Maunder Minimum (M) will be followed by another
supersecular minimum about 2030.
Intriguingly, the intervals in the energy wave that separate consecutive
phase jumps, too, show a relationship with consonant intervals, These
intervals, marked by the vertical dotted lines and vertical flat trian~les,
represent the maior sixth (3 : 5) and the minor sixth 15 : 8). The aattern