SHOCKS-``COMPLICATEDNESS'' Impulse-Jerk (I-J): [a(t)];[m(t)] DEVIATIONS FROM/VS. "(so MIScalled) `Complexity' as UTTER-SIMPLICITY!!!''(``SMCIUS!!!''): SHOCKS Burst Acoustic-Emission(BAE) ``COMPLICATEDNESS''-MEASURE(S)
POSTER
Abstract
(so MIScalled) "complexity" associated BOTH [SCALE-Invarience Symmetry-RESTORING] AND X(w) $\sim $(F-D-thm.)$\sim $ P($\omega )\sim $''1''/$\omega \sim $``1''/$\omega ^{1.000\ldots }$ "pink" Zipf-law Archimedes-HYPERBOLICITY INEVITABILITY BAE power-spectrum power-law decay algebraicity (or at least "red" Pareto-law~ X($\omega )\sim $(F.-D.-thm.)$\sim $P($\omega )\sim $1/$\omega ^{(0 < \# \ne 1.000\ldots )})$.~Their INTERCONNECT-ION? Simple-calculus [SCALE-Invariance Symmetry-RESTORING(S-I S-R)] LOGARITHM-function derivative: d ln($\omega )$/ d$\omega $= hence: d[S-I S-R]($\omega )$/d$\omega $= ; via Noether-theorem continuous-symmetries relation to conservation-laws is: [d[{\{}inter-scale 4-current 4-divergence{\}}/d$\omega =\sum _{\mu }\partial ^{\mu }$J$_{\mu }$=0]($\omega )$=1/. Hence (so MIScalled) "complexity" is~inter-scale information-conservation(nano to meso to macro)[in amazing exact agreement with Anderson-Mandell-Selz[PhD, FAU(91); Fractals of Brain/Mind, G. Stamov ed.(94)]; experimental-psychology!!!], i.e.~``SMCIUS!!!'' VS. SHOCKS-"COMPLICATEDNESS" NON: ``1''/$\omega $ Zipf/(Pareto?); power-law; algebraicity; universality power-spectrum inverse-transform of time-series of shock's impulse-jerk(I-J)