(so: called/BNL/DoE-hyped) ``Self-Organized-Criticality"(SOC) is Merely Newton's(1687) Law of Motion F = ma REdiscovery: LONG PRE-``Bak"!!!

POSTER

Abstract

``Bak''/BNL/DoE ``self-organized-criticality''(SOC) usual BNL/DoE media-hype P.R spin-doctoring ``show-biz'' ``Bush-waaa-...-aaah!!!'' is manifestly-demonstrated in two distinct ways to be nothing but Newton's Law of Motion F = ma REdiscovery!!! PHYSICS: (1687) cross-multiplied F = ma rewritten as 1/m = a/F = OUTPUT/INPUT = EFFECT/CAUSE = inverse-mass mechanical-susceptibility = $\chi $(``$\omega $''); $\chi $ (``$\omega $'') $\sim $(fluctuation-dissipation theorem-equivalence /proportionality)$\sim $ P(``$\omega $'') ``noise'' power-spectrum; E $\sim $ $\omega $ ; and E $\sim $(or any/all media with upper-limiting-speeds)$\sim $ m. Thus: $\omega \quad \sim $ E $\sim $ m; inversion yields: 1/$\omega $ $\sim $ 1/E $\sim $ 1/m $\sim $ a/F = $\chi $(``$\omega $'') $\sim $ P(``$\omega $''); hence: F = ma dual/inverse-integral-transform is ``'SOC'''s'' P($\omega ) \quad \sim $ 1/$\omega $!!! ; ``PURE"-MATHEMATICS: F = ma double-integral time-series s(t) = [vot + (1/2) at$^{(2)}$] inverse/dual-integral-(Fourier, Laplace)-transform formally defines power-spectrum: P($\omega )=\Xi$ s(t) e$^{[-(i OR no i)wt]}$ dt = $\Xi $[vot + (1/2) at$^{2}$] e$^{[-(i OR no i)wt]}$ dt = vo $\Xi $ t e$^{[-(i OR no i)wt]}$ dt + (1/2) $\Xi $ [a =/= a(t)] e$^{[-(i OR no i)wt]}$ dt = vo (d/d$\omega ) \quad \delta (\omega )$ +(1/2) [a $\ne $ a(t)] (d/d$\omega )^{(2)}$ $\delta (\omega )$ = vo/$\omega $(0) +(1/2) [a $\ne $ a(t)] / $\omega $\^{}(1.000...): if a = 0, then P($\omega) \quad \sim $ 1/$\omega $(0), versus if a $\ne $ a(t) $\ne $0, then P($\omega ) \quad \sim $ 1/$\omega \quad \sim $ 1/$\omega^{(1.000...)}$; same exact conclusion as from physics: SOC $<$=(reexpresses)=$>$ F = ma!!!: SOC Rediscovery of F=ma: LONG PRE-``Bak''!!!

Authors

  • F. Young

    F=C/C-S/La Jolla, ``FUZZYICS&#034;=``CATEGORYICS&#034;(F=C)/C-S(``SON of &#039;TRIZ&#039;&#034;)/La Jolla, EMET/C-S/F=C, EMET/F=C/C-S/La Jolla, failure-PREVENTION-associates(pPa)/La Jolla, failure-PREVENTION-associates(fPa)/La Jolla, failure-PREVENTION-associates(fPa)/Haynes Intl., ``FLYING-WATER&#034;/La Jolla, ``FLYING-WATER&#034;/fPa/La Jolla, C-S/F=C/La Jolla, C-S/F=C/Los Altos

  • F. Young

    F=C/C-S/La Jolla, ``FUZZYICS&#034;=``CATEGORYICS&#034;(F=C)/C-S(``SON of &#039;TRIZ&#039;&#034;)/La Jolla, EMET/C-S/F=C, EMET/F=C/C-S/La Jolla, failure-PREVENTION-associates(pPa)/La Jolla, failure-PREVENTION-associates(fPa)/La Jolla, failure-PREVENTION-associates(fPa)/Haynes Intl., ``FLYING-WATER&#034;/La Jolla, ``FLYING-WATER&#034;/fPa/La Jolla, C-S/F=C/La Jolla, C-S/F=C/Los Altos