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FQXi FORUM
January 21, 2020

CATEGORY: Questioning the Foundations Essay Contest (2012) [back]
TOPIC: Known Unknowns Versus Unknown Unknowns by Edward Siegel [refresh]
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Author EDWARD CARL-LUDWIG SIEGEL wrote on Sep. 7, 2012 @ 11:11 GMT
Essay Abstract

“SEPHIROT”: EMET!!!: “Known Unknowns Versus Unknown Unknowns”: It’s a Jack-in-the-Box Universe: Ten-Digits; Log-Law Scale-Invariance; Utter-Simplicity: “Complexity” Versus “Complicatedness”; Zipf’s-Law/ Hyperbolicity/ Inevitability (Archimedes); Bose- {Euler[(1732)] over-reals R)∑_(k=1)^∞▒〖1/k^R =∏_P▒1/((1-1/P^R ) )〗= ∏_P▒P^R/((P^R-1) ) ~ ∏_ω▒e^(ħ(ω-z)/kT)/((e^(ħ(
69;-z)/kT)-1) ) }-{Riemann, “Ueber die Anzahl der Primzahlen unter einer gegebenen Groesse”, Monatsberichte der Berlin Akademie,(1859)] over-complex-numbers C): ∑_(k=1)^∞▒〖1/k^( C) =∏_P▒1/((1-1/P^( C) ) )〗= ∏_P▒P^( CC)/((P^( C)-1) ) ~ ∏_ω▒e^(ħ(ω-z)/kT)/((e^(ħ(
69;-z)/kT)-1) )}-{Bernoulli-Newcomb[Am. J. Math. 4, 39(1881)]-{Planck(1901)]}-{Einstein(1905)]-Poincare[(1912)]-
Weyl[Goett. Nach.???(1914); Math. Ann. 77, 313(1916)]-Bose(1924)-Einstein(1925)]-VS. Fermi(1927)-Dirac(1927)-Benford[J. Am. Phil. Soc. 78, 115(1938)]-Kac[“The Mathematics of Statistical-Reasoning” (1955)]-Raimi[Sci. Am.(1969) ]-Hill[Proc. Am. Math. Soc.123,3,887(1995)logarithm-function scale-invariance("MAGNIFICAT", (Bach) proof]-Jech(1995)-Siegel, Antonoff, Pi, Smith[Am. Math. Soc./Math. Assn. Am./SIAM Joint Mtg., San Diego(2002)] –Benson[last-lecture!!!: Workshop: “Cohomology and Support of Algebraic-Representation-Theory”, Julia Petsova, Eric Friedlander and David Benson eds., Pacific Institute for Mathematical Studies, University of Washington(2012)]-Chern[????]-Hirezbruch, Riemann, Roch Theorem!!! Finding and proof of a digits on-average[CAUSING] logarithmic-law 〈P〉=〖log〗_10 (1+1/d), by mathematicians mistakenly excluding physics-crucial d = 0 singularity/pole, as log-law 〈P〉=〖log〗_10 (1+1/(d∈[1,…,9] )), but in actuality purposely including the all-important physics-crucial d = 0 singularity/pole: 〈P〉=〖log〗_10 (1+1/(d∈[0‼!; 1,…,9] )) permits “EMET”/TRUTH, purposely sans any “specificity-of-(so miscalled)”complexity” tactics: NO: models(“standard” nor any other), mechanisms, processes, parameters(proliferation: ad infinitum; ad nauseum!!!), “Digits”’ classic (but not classical!) Newcombe(1881)-Poincare(1912)-Weyl(1914; 1916)-Benford(1938) "NeWBe-Law" P(d) = log10 (+1+1/d) [integer d * [0,9]] * Z ; versus, non-integer 0 < P < 1] (on average) statistical-correlations, with recent Browne-Hill-Mathews-Greespan popularizations, based upon recent Hill-Jech-Pietroniero ostensibly-"rigorous" proofs domination by [(logarithm-base - invariance) = (units-invariance) = (SCALE-invariance)], and Nigrini-Hill-Burton widespread forensic applications to fraud-detection, with indictments, prosecutions and convictions, has gotten Wall Street's attention, after Peters proof of SCALE-invariance dominance of economics’ capital-markets so-called “complexity”, as nothing else! (Anderson-Mandell-Pascual-Leone identically in nerves/brain/mind); FDA.applications: drug testing verification/qualification;... Digits['1,...,9] =(upon Benford-law algrbraic-inversion)= Bosons with d = 0 BEC(!!!), and denominator-EXPONENTIAL Taylor/power-series expansion to Zipf-law Hyperbolicity (Archimedes)INEVITABILITY!!!

Author Bio

BS-Physics/Mineralogy-Colorado School of Mines/CCNY(1965) Attended: Harvard/MIT, University of Pennsylvania MS-Mathematical-Physics, Courant Institute/NYU(1967) PhD-Radiation/Nuclear-Physics, U.C.Berkely(1968) MS-Nuclear-Physics- University of Michigan(1969) PhD-"Metallurgy"/Solid-State Theory/Condensed-Matter Theory/Magnetism, MSU(1970) Industry: AMRAC, Ford, GM, Westinghouse, PSEG, IAEA, ABB,... Teaching: QMUL/Uiversity of London, CUNY, ITB(Bandung, Java,Indonesia), Brazil(CNPq), ICTP/SISSA First Prover of: Fermat's Last-Theorem(FLT) [@ CCNY IN 15-MINUTES(1964), 3-decades <<< pre-“Wiles”(1994); First Experimental Discoverer of Giant-Magnetoresistance(GMR)["ICMAO", Technion, Haifa(1977); JMMM 7, 312(1978)] a decade pre “Fert”(1988)-and-“Gruenberg”(1989); and Theoretical Predictor of Colossal-Magnetoresistance(CMR)[JMMM 7, 331(1978)]; First Prover of P =/= NP(1995); First Prover of Birch & Swinnerton-Dyer(BSD)-conjecture(2004); First Prover of Riemann-hypothesis(2013) as Bose-Einstein Condensation(BEC): Polynomials/Numbers: Euler Versus Bernoulli, and Mellin dual/integral-transform(s): rectangle to hyperboloa = Archimedes zIPF-LAW hyperbolicity INEVITABILITY!!! .

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Anonymous wrote on Sep. 7, 2012 @ 19:02 GMT
This was unintelligible to me. The goal of the contest was to write an essay that was relevant and interesting. I am open to any argument but this seems like word salad. Why didn't you put more effort into making it readable?

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Georgina Woodward wrote on Oct. 2, 2012 @ 10:46 GMT
Dear Herr Professor Fraude,

Fantastic biography, abstract and essay (literally).I was overwhelmed by the quasi prodigious profundity of your essay. I think you require an antidote more than anyone else in this contest.I don't have one handy but this serious article may help in the meantime. Searching For New Mathematics by Ivars Peterson

The condition, so well illustrated by your extortionately erudite presentation, (though hopefully not contagious),is dangerous to science.NEGATIVE LUCIDITY INVERSION THERAPY (NLIT) might be required. If a certain level of decorum was not expected on this forum I would call it balderdash but as it is- well done. Regards Georgina : )

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Georgina Parry replied on Oct. 2, 2012 @ 21:56 GMT
Upon reflection balderdash might not be the most appropriate adjective. I don't have sufficient background knowledge of physics to enable me, for example, to easily decipher whether there is subtle humour in the choices of reference material.There may be some additional cleverness in it that I could not, without further study, appreciate.This work appears to me as a caricature of pseudo...

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Georgina Parry replied on Oct. 13, 2012 @ 11:16 GMT
Dear'Edward Siegel',

it would be interesting to know why you entered this particular essay. It doesn't look, or sound, suitable for a Scientific American article. Is it a parody which it amused you to create, or did you intend to also send a serious message? It looks as if a lot of effort may have gone into creating it. Is that the case, or did you use some kind of program to help put all of the various bits and pieces pieces together?

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Jonathan J. Dickau wrote on Oct. 3, 2012 @ 06:12 GMT
Hello Edward (Herr Doctor Fraude),

This is certainly a wonderful parody of a scientific paper, with all the bells and whistles - whoo hoo! Not to be missed as the perfect baseline - a minimal standard of 'excellence' by which all the other essays can be judged. We should all be proud, being in such esteemed company, or by comparison - whichever is simpler. You have certainly convinced me.

Congratulations!

Jonathan

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Sergey G Fedosin wrote on Oct. 4, 2012 @ 04:04 GMT
If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is
and
was the quantity of people which gave you ratings. Then you have
of points. After it anyone give you
of points so you have
of points and
is the common quantity of the people which gave you ratings. At the same time you will have
of points. From here, if you want to be R2 > R1 there must be:
or
or
In other words if you want to increase rating of anyone you must give him more points
then the participant`s rating
was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process.

Sergey Fedosin

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