NON-Shock-Plasticity/Fracture Burst Acoustic-Emission(BAE) ``1''/f -``Noise'' Power-Spectrum(PS) Power-Law UNIVERSALITY is Merely F$=$ma Time-Series Integral-Transform, aka ``Bak'' -``SOC'' REdiscovery'' PRE(1687)-''Bak''(1988)

NON-shock plasticity/fracture BAE[E.S.:MSE 8,310(71);PSS:(a)5,601/607(71);Xl.-Latt.Defects 5,277(74); Scripta Met.:6,785(72);8,587/617(74);3rd Tokyo AE Symp.(76);Acta Met. 5,383(77);JMMM 7,312(78)] ``1''/$\omega $-``noise'' power-spectrum ``pink''-Zipf(NOT ``red''$=$Pareto) power-law UNIVERSALITY is manifestly-demonstrated in two distinct ways to be nothing but Newton 3$^{\mathrm{rd}}$ Law of Motion F $=$ ma REdiscovery!!! (aka ``Bak''(1988)-``SOC'':1687 \textless \textless \textless 1988: 1988-1687$=$301-years!!! PHYSICS:F$=$ma cross-multiplied as 1/m$=$a/F$=$OUTPUT/INPUT$=$ EFFECT/CAUSE$=$inverse-mass mechanical-susceptibility$=\chi $(''$\omega $''); $\chi $(''$\omega $ '')$\sim $(F.-D.thm.)$\sim $P(''$\omega $'') ''noise'' power-spectrum; (``Max {\&} Al show''): E$\sim \omega $; {\&} E$\sim $(upper-limiting-speeds media)$\sim $m. Thus: $\omega \sim $E$\sim $m; Inverting: 1/$\omega \sim $1/E $\sim $1/m$\sim $a/F$=\chi $(''$\omega $'')$\sim $P(''$\omega $''); Thus: F$=$ma integral-transform(I-T) is '''SOC'''s'' P($\omega )\sim $1/$\omega $!!! ; ''PURE''-MATHS: F$=$ma DOUBLE-integral time-series(T-S) s(t)$=$[v$_{\mathrm{0}}$t$+$(1/2)at$^{\mathrm{2}}$] I-T formally de?nes power-spectrum(PS): P($\omega )\equiv \smallint $s(t)e$^{\mathrm{-i\omega t}}$dt$=\smallint $[v$_{\mathrm{o}}$t$+$(1/2)at$^{\mathrm{2}}$]e$^{\mathrm{-i\omega t}}$dt$=$ v$_{\mathrm{o}}\smallint $a(t)e$^{\mathrm{-i\omega t}}$dt$+$(1/2)[a$\ne $a(t)]$\smallint $t$^{\mathrm{2}}$e$^{\mathrm{-i\omega t}}$dt$=$v$_{\mathrm{o}}(\partial $/$\partial \omega )\delta (\omega )+$(1/2)[a$\ne $a(t)]($\partial^{\mathrm{2}}$/$\partial \omega ^{\mathrm{2}})\delta (\omega )=$v$_{\mathrm{o}}$/$\omega ^{\mathrm{0}}+$ (1/2)[a$\ne $a(t)]/$\omega ^{\mathrm{1.000\mathellipsis }}$; uniform-velocity a$=$0 PS P($\omega )=$1/$\omega^{\mathrm{o}}$ WHITE vs. uniform:-a\textgreater 0;a\textless 0) PS P($\omega )=$1/$\omega^{\mathrm{1.000\mathellipsis }}$ pink/flicker/HYPERBOLICITY.