(BNL/DoE-hyped) "Self-Organized-Criticality"(SOC) is Merely Newton's(1687) Third 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 Third 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 = X ("w "); X ("w ") $\sim $(F.-D. theorem-equivalence /proportionality)$\sim $ P("w ") "noise" power-spectrum; E $\sim $ w ; and E $\sim $(any/all media upper-limiting-speeds)$\sim $ m. Thus: w $\sim $ E $\sim $ m; inversion yields: 1/w $\sim $ 1/E $\sim $ 1/m $\sim $ a/F = X ("w ") $\sim $ P("w "); hence: F = ma dual/inverse-integral-transform is "'SOC"'s" P(w ) $\sim $ 1/w\^{}(1) !!! ; "PURE"-MATHS: F = ma double-integral time-series s(t) = [vot + (1/2) at\^{}(2)] inverse/dual-integral-transform formally defines power-spectrum: P(w ) = S {\{}s(t) e\^{}[-(i OR no i)w t]{\}} dt = S {\{}[vot + (1/2) at\^{}2)] e\^{}[-(i OR no i)w t]{\}} dt = vo S {\{}t e\^{}[-(i OR no i)wt]{\}} dt + (1/2) S {\{}[a =/= a(t)] e\^{}[-(i OR no i)wt){\}} dt = vo (d/dw ) Delta (w ) +(1/2) [a =/= a(t)] (d/dw )\^{}(2) Delta (w) = vo/w \^{}(0) +(1/2) [a=/=a(t)] /w \^{}1: if a = 0, then P(w ) $\sim $ 1/w \^{}0, VS. if a =/= a(t) =/= 0, then P(w ) $\sim $ 1/w; = by physics: ``SOC'' RE-expresses F = ma!!!: ``just `a tad' late/tardy'' REdiscovery of F=ma: LONG PRE-"Bak"!!!
Authors
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F. Young
FUZZYICS=CATEGORYICS(SON OF TRIZ)/CATEGORY-SEMANTICS, FUZZYICS=CATEGORYICS(SON OF TRIZ), FUZZYICS=CATEGORYICS(SON OF TRIZ)/La Jolla/Las Vegas
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F. Young
FUZZYICS=CATEGORYICS(SON OF TRIZ)/CATEGORY-SEMANTICS, FUZZYICS=CATEGORYICS(SON OF TRIZ), FUZZYICS=CATEGORYICS(SON OF TRIZ)/La Jolla/Las Vegas
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F. Young
FUZZYICS=CATEGORYICS(SON OF TRIZ)/CATEGORY-SEMANTICS, FUZZYICS=CATEGORYICS(SON OF TRIZ), FUZZYICS=CATEGORYICS(SON OF TRIZ)/La Jolla/Las Vegas