Stephen Puetz "Universal Wave Series" (UWS) 2014 time periods
Stephen Puetz's "Universal Wave Series" puts an amazingly complete [diversity, theme] sets of well-[known, established] periodicities in [astronomy, geology, biology, human [health, archeo-history, war, catastrophe]] on a very [simple, powerful] "factor-of-three" time-fractal, that also includes its primary "beating frequency" "Double UWS" periodicities.
PuetzUWS was developed for time periodicities, but it may apply to [time, length, mass, energy, etc].
Puetz geology example![]()
I applied as [time, price] multi-fractal for financial markets: (see chart above Howell - SP500 detrended [time, price] multifractal ).
Neither Stehen Puetz, nor his co-author Glenn Borchardt (especially his concept of infinity among 10 Assumtions of Science"), are adherents to the "Electric Universe" set of concepts.
Current collection of Electric Universe related, multifractal webPages
see Electric Universe [time, [length, mass, energy], theme] multi-fractal webPage
Table of PuetzUWS 2014 periodicities
Nomenclature :
[lambda, tLag] in years
θ phase angle in radians
UWS = base series, HWS = half wave series (should be DWS = double wave?)
[tLag in years, θ phase angle] are application-specific
Puetz_UWS_2014 :=
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nL_UWS | lambdaL_UWS | lambdaL_HUWS | tLagL_UWS | tLagL_HUWS | θnL_UWS | θnL_DUWS
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0 | 6.896E-15 | 3.448E-15 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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1 | 2.069E-14 | 1.034E-14 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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2 | 6.206E-14 | 3.103E-14 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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3 | 1.862E-13 | 9.309E-14 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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4 | 5.585E-13 | 2.793E-13 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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5 | 1.676E-12 | 8.378E-13 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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6 | 5.027E-12 | 2.513E-12 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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7 | 1.508E-11 | 7.540E-12 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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8 | 4.524E-11 | 2.262E-11 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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9 | 1.357E-10 | 6.786E-11 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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10 | 4.072E-10 | 2.036E-10 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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11 | 1.222E-09 | 6.108E-10 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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12 | 3.665E-09 | 1.832E-09 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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13 | 1.099E-08 | 5.497E-09 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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14 | 3.298E-08 | 1.649E-08 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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15 | 9.895E-08 | 4.947E-08 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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16 | 2.968E-07 | 1.484E-07 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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17 | 8.905E-07 | 4.453E-07 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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18 | 2.672E-06 | 1.336E-06 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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19 | 8.015E-06 | 4.007E-06 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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20 | 2.404E-05 | 1.202E-05 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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21 | 7.213E-05 | 3.607E-05 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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22 | 2.164E-04 | 1.082E-04 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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23 | 6.492E-04 | 3.246E-04 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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24 | 1.948E-03 | 9.738E-04 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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25 | 5.843E-03 | 2.921E-03 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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26 | 1.753E-02 | 8.764E-03 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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27 | 5.258E-02 | 2.629E-02 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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28 | 1.578E-01 | 7.888E-02 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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29 | 4.733E-01 | 2.366E-01 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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30 | 1.420E+00 | 7.099E-01 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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31 | 4.259E+00 | 2.130E+00 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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32 | 1.278E+01 | 6.389E+00 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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33 | 3.833E+01 | 1.917E+01 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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34 | 1.150E+02 | 5.750E+01 | 2.188E+01 | 7.509E+00 | 1.1956 | 0.8205
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35 | 3.440E+02 | 1.720E+02 | 3.085E+02 | 9.349E+01 | 5.6345 | 3.4150
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36 | 1.030E+03 | 5.150E+02 | 8.229E+02 | 1.791E+02 | 5.0197 | 2.1855
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37 | 3.090E+03 | 1.545E+03 | 1.338E+03 | 9.516E+02 | 2.7204 | 3.8701
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38 | 9.280E+03 | 4.640E+03 | 2.886E+03 | 1.726E+03 | 1.9540 | 2.3372
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39 | 2.780E+04 | 1.390E+04 | 2.605E+04 | 8.674E+03 | 5.8873 | 3.9206
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40 | 8.350E+04 | 4.175E+04 | 1.216E+04 | 1.726E+03 | 0.9152 | 0.2596
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41 | 2.510E+05 | 1.255E+05 | 1.377E+05 | 1.063E+05 | 3.4466 | 5.3225
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42 | 7.520E+05 | 3.760E+05 | 2.628E+05 | 1.688E+05 | 2.1960 | 2.8213
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43 | 2.260E+06 | 1.130E+06 | 1.393E+06 | 1.111E+06 | 3.8736 | 6.1764
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44 | 6.770E+06 | 3.385E+06 | 2.520E+06 | 1.673E+06 | 2.3384 | 3.1060
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45 | 2.030E+07 | 1.015E+07 | 1.944E+07 | 6.748E+06 | 6.0154 | 4.1769
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46 | 6.090E+07 | 3.045E+07 | 9.285E+06 | 1.673E+06 | 0.9579 | 0.3451
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47 | 1.830E+08 | 9.150E+07 | 3.980E+07 | 1.693E+07 | 1.3665 | 1.1622
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48 | 5.480E+08 | 2.740E+08 | 1.311E+08 | 6.256E+07 | 1.5027 | 1.4346
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49 | 1.640E+09 | 8.200E+08 | 1.497E+09 | 4.724E+08 | 5.7368 | 3.6197
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50 | 4.920E+09 | 2.460E+09 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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51 | 1.476E+10 | 7.380E+09 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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52 | 4.428E+10 | 2.214E+10 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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53 | 1.328E+11 | 6.642E+10 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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54 | 3.985E+11 | 1.993E+11 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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55 | 1.196E+12 | 5.978E+11 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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56 | 3.587E+12 | 1.793E+12 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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57 | 1.076E+13 | 5.380E+12 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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58 | 3.228E+13 | 1.614E+13 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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59 | 9.684E+13 | 4.842E+13 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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60 | 2.905E+14 | 1.453E+14 | 'n/a' | 'n/a' | 'n/a' | 'n/a'
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