DEFINITION of (so MIScalled) "Complexity" as UTTER-SIMPLICITY!!! VERSUS DEVIATIONS From It As COMPLICATEDNESS-MEASURE(S)
POSTER
Abstract
(so MIScalled) "complexity" with INHERENT BOTH SCALE-Invariance Symmetry-RESTORING, AND 1/w\^{}(1.000..) "pink" Zipf-law Archimedes-HYPERBOLICITY INEVITABILITY power-spectrum power-law decay algebraicity. Their CONNECTION is via simple-calculus SCALE-Invariance Symmetry-RESTORING logarithm-function derivative: (d/d$\omega )$ ln($\omega )$ = 1/$\omega $ , i.e. (d/d$\omega )$ [SCALE-Invariance Symmetry-RESTORING]($\omega )$ =1/$\omega $ . Via Noether-theorem continuous-symmetries relation to conservation-laws: (d/d$\omega )$ [{\{}inter-scale 4-current 4-div-ergence{\}} = 0]($\omega )$ = 1/$\omega $. Hence (so MIScalled) "complexity" is information inter-scale conservation, in agreement with Anderson-Mandell [Fractals of Brain/Mind, G. Stamov ed.(1994)] experimental-psychology!!!], i.e. (so MIScalled) "complexity" is UTTER-SIMPLICITY!!! Versus COMPLICATEDNESS either PLUS (Additive) VS. TIMES (Multiplicative) COMPLICATIONS of various system-specifics. COMPLICATEDNESS-MEASURE DEVIATIONS FROM complexity's UTTER-SIMPLICITY!!!: EITHER [SCALE-Invariance Symmetry-BREAKING] MINUS [SCALE-Invariance Symmetry-RESTORING] via power-spectrum power-law algebraicity decays DIFFERENCES: ["red"-Pareto] MINUS ["pink"-Zipf Archimedes-HYPERBOLICITY INEVITABILITY]!!!
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