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{"sheet":"Anleitung","index":0,"n_rows":76,"n_cols":3,"rows_kept":76,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Die einheitliche Massenformel nach Burkhard Heim 1989 und 1982 (1978)"]
[]
[]
["Diese Umsetzung als Excel-Spreadsheet demonstriert die Einfachheit der Heimschen Massenformel."]
["Enthalten ist die Massenformel im Stand von 1989 und von 1982 mit allen Formeln und allen Zwischenergebnissen."]
[]
["Als numerische Eingangsgrößen gehen lediglich ein:"]
["- ","µ0 Induktionskonstante, e0 Influenzkonstante"]
[null,"oder c Lichtgeschwindigkeit, Rg Vakuumwellenwiderstand"]
["- ","gamma Newtonsche Gravitationskonstante"]
["- ","hq Plancksches Wirkungsquant"]
["- ","die Naturkonstanten Pi und ebn (Basis des natürlichen Logarithmus)"]
[]
["Hinweis"]
["Die rechnerische Genauigkeit von Excel ist begrenzt."]
[]
[]
["Anleitung"]
["0.","In die weißen umrandeten Felder können eigene Werte eingegeben werden."]
[null,null,"(Wert)"]
[]
["1.","Im Blatt [Konstante] wählt man die empirischen Werte der Naturkonstanten aus."]
[null,"Daraus werden automatisch einige abgeleitete Naturkonstanten berechnet und numerisch angezeigt."]
[null,"Die physikalischen Naturkonstanten dienen der abschließenden Skalierung auf unser Maßsystem."]
[]
["2. ","Im Blatt [Elementarteilchen] wird die Massenberechnung durchgeführt. "]
[null,"Auswählen lässt sich das Teilchen anhand seines Quantenzahlensets. "]
[null,"Außerdem können die Vorgaben für den einfließenden Wert der Feinstrukturkonstante, "]
[null,"der Drehsinn in der Zeit (Teilchen/Antiteilchen) und die gewünschte Nummer der Resonanz eingegeben werden."]
[]
[null,"Alle auswählbaren Eingangswerte sind im Arbeitsblatt [Tabellen] gespeichert und dort einsehbar."]
[null,"Die Zwischenwerte der Koeffizientenmatrix von 1982 wurden der Übersichtlichkeit halber ins Blatt [Koeffizientenmatrix] "]
[null,"ausgelagert. Diese Koeffizienten werden nur in der Massenformel von 1982 verwendet."]
[]
["3.","Man kann nun beobachten, wie sich die Innenstrukturen verschiedener Teilchen numerisch unterscheiden, "]
[null,"und wie sie sich bei Anregung ändern."]
[null,"Wenn sich die Formeln von 1989 von den Formeln 1982 unterscheiden, sind nebeneinander beide Formeln"]
[null,"programmiert worden, und der Unterschied des Wertes wird zusätzlich in % angezeigt."]
[]
["Der Rechnungsweg wird völlig transparent dargestellt. "]
["Klicke auf ein Zahlenfeld, um die dahinter arbeitende Formel zu sehen."]
["In der Statuszeile oben wird dann die gesamte Formel angezeigt."]
["Im Adressfeld links davon steht der Zellname, der der hier berechneten Größe zugewiesen ist."]
[]
["F: Ich möchte die im Massenrechner programmierten Formeln weiter verwenden. Wie kann ich sie speichern?"]
["Excel kann die Formeln in seinen Datenblättern nur über den Umweg eines Makros speichern."]
["Drücke [Alt +F11] oder öffne den Visual-Basic-Editor über Extras > Makro > Visual Basic Editor."]
["Öffen im Editor unter \"Module\" das Module1."]
["Wenn nötig passe den Pfad an, unter dem die Formeln gespeichert werden sollen. "]
[null,"Const Dateiname = \"d:\\temp\\formeln.txt\""]
["Wenn nötig passe den Namen des gewünschten Arbeitsblattes an. "]
[null,"For Each Zelle In Sheets(\"Tabelle1\")"]
["Drücke nun auf \"Abspielen\"."]
[]
[]
["F: Wie kann ich den Blattschutz aufheben?"]
["Freischalten der Blätter über Extras > Schutz > Blattschutz aufheben mit dem Passwort \"heim\"."]
[]
[null,"Um die Herleitung und Bedeutung der einzelnen Zahlenwerte zu verstehen, sollte unbedingt"]
[null,"ergänzende Literatur studiert werden!"]
[]
["Literaturquellen"]
["[1]","Skript zur Heimschen Massenformel von 1982 (www.heim-theory.com) (berichtigte Version)"]
[null,"Achtung: Die Version von 2003 enthält in einigen Formeln Satzfehler."]
["[2]","FORTRAN Quellcode von H.D. Schulz, DESY vom 17.3.1982, bezogen auf Gleichungen"]
[null,"von Burkhard Heim vom 17.9.1978."]
["[3]","Quellcode in UCSD-Pascal von Burkhard Heim, ca. 1985. (Zum Vergleich herangezogen)"]
["[4]","Burkhard Heim: Elementarstrukturen der Materie, Band 1 und 2"]
[null,"Die Formeln im Stand von 1982 sind in diesen beiden Büchern dokumentiert."]
["[5]","Burkhard Heim 1989b; Ausgewählte Ergebnisse einer einheitlichen Quantenfeldtheorie der Materie und Graviation"]
[null,"Northeim 1989, Version 0.73 (Massenformel im Stand von 1989 mit Tabellenanhang einiger gerechneter Werte)"]
["[6]","Vorgeschlagene Korrekturen von Javier Mazzone aus [5], Anhang D"]
[]
["Copyright © Olaf Posdzech, 2010, op@engon.de"]
["Protosimplex site: www.engon.de/protosimplex/"]

{"sheet":"Konstante","index":1,"n_rows":88,"n_cols":7,"rows_kept":88,"cut":false,"hidden":false,"merged":[]}
[]
[null,"1. Vorgegebene mathematische Konstanten"]
[]
[null,"Bezeichnung ","Wert"]
["pi","Kreiszahl",{"$f":"PI()","v":3.1415926535897931},null,"pi(0)"]
["ebn","Basis des natürl. Logarithmus",{"$f":"EXP(1)","v":2.7182818284590451},null,"exp(1)"]
[]
[]
[null,"2. Daraus abgeleitete geometrische Naturkonstanten"]
[]
[null,"Geometrische Konstanten"]
["xi","geometrische Konstante (VI)",{"$f":"(1 + SQRT(5)) / 2","v":1.6180339887498949},"Formel entspricht dem Goldenen Schnitt"]
[null,null,null,null,null,"Gleichung"]
["eta","eta Kuerzung  (V)",{"$f":"pi / SQRT(SQRT(4 + pi^4))","v":0.98998964081934226},null,null,"(2b)"]
["eta11","eta(1,1) Kürzung (V) ",{"$f":"pi / SQRT(SQRT(5 + pi^4))","v":0.98756398810612356},null,null,"(7a)"]
["eta12","eta(1,2) Kürzung (V) ",{"$f":"pi / SQRT(SQRT(6 + pi^4))","v":0.98516776357800506},null,null,"(7a)"]
["eta22","eta(2,2)",{"$f":"pi / SQRT(SQRT(6*2^4 + pi^4))","v":0.84242384610209275},null,null,"(7a)"]
[]
["theta","theta Kuerzung  (V)",{"$f":"5*eta + 2*SQRT(eta) + 1","v":7.9399126669144193},null,null,"(2a)"]
["theta1,1",null,{"$f":"5*_eta11 + 2*SQRT(_eta11) + 1","v":7.9253450227432918}]
["theta1,2",null,{"$f":"5*_eta12 + 2*SQRT(_eta12) + 1","v":7.9109511709602547}]
["theta2,2",null,{"$f":"5*_eta22 + 2*SQRT(_eta22) + 1","v":7.0477922363610075}]
[]
[null,null,"Heim 1982",null,"Heim 1989","Abweichung in %"]
["alfp","Alpha+ (geometrischer Faktor)",{"$f":"(1 - 2/3 * xi*eta^2*(1 - SQRT(eta)) ) / (eta^2*eta^(1/3)) - 1","v":1.8322115078164947E-2},null,{"$f":" eta^(1/6)*(1-theta*(2*(1-SQRT(eta))/(eta*(1+SQRT(eta))))^2*SQRT(2*eta)) / eta^2 - 1","v":1.8322123969773285E-2},{"$f":"(alfpn-alfp)/alfpn*100","v":4.8529353655560805E-5}]
["alfm","Alpha- (geometrischer Faktor)",{"$f":"(1 - 2/3 * xi*eta^2*(1 - SQRT(eta)) ) / (eta * eta^(1/3)) - 1","v":8.128344944625443E-3},null,{"$f":" eta^(1/6)*(1-theta*(2*(1-SQRT(eta))/(eta*(1+SQRT(eta))))^2*SQRT(2*eta)) / eta - 1","v":8.1283537472254253E-3},{"$f":"(alfmn-alfm)/alfmn*100","v":1.0829499128609214E-4}]
[]
[]
[null,"Feinstrukturkonstante:","Heim 1982",null,"Heim 1989b"]
[null,"(re. Seite)",{"$f":"(9*theta* (1 - (1 - SQRT(_eta11))*(1 - SQRT(_eta12))* (SQRT(_eta11)*SQRT(_eta12)) / ( (1+SQRT(_eta11)) * (1+SQRT(_eta12)) )  )) / (2*pi)^5","v":7.297160297864042E-3},null,{"$f":"(9*theta* (1 -  (1+_eta22) /(eta*_eta11*_eta12) * ( (1-SQRT(eta))/(1+SQRT(eta)) )^2  )) / (2*pi)^5","v":7.2971561161259205E-3}]
["beta","Beta = Alpha-",{"$f":"SQRT(1/2*(1 + SQRT(1 - 4*C30^2)))","v":0.99997337395346553},null,{"$f":"SQRT(1/2*(1 + SQRT(1 - 4*E30^2)))","v":0.99997337398398434}]
["alfa","Alpha = Alpha+",{"$f":"SQRT(1/2*(1 - SQRT(1 - 4*C30^2)))","v":7.2973545975647232E-3},null,{"$f":"SQRT(1/2*(1 - SQRT(1 - 4*E30^2)))","v":7.2973504154956069E-3},"Abweichung in %"]
[null,"1/Alpha",{"$f":"1/C32","v":137.03596099519689},null,{"$f":"1/E32","v":137.03603952970977},{"$f":"(E33-C33)/E33*100","v":5.7309386019870558E-5}]
[null,"1/Beta",{"$f":"1/C31","v":1.0000266267554998},null,{"$f":"1/E31","v":1.0000266267249793},{"$f":"(E34-C34)/E34*100","v":-3.0519662397498283E-9}]
[]
[]
[null,"3. Physikalische Naturkonstanten zur Skalierung auf ein Maßsystem"]
[]
[null,null,null,"Die vier Größen µ0,eo, Rg und c "]
[null,null,null,"können wechselseitig auseinander berechnet werden."]
[]
[null,null,null,"Alle physikalischen Größen gehen nur im letzten Schritt"]
[null,null,null,"als direkte Skalierung des Massenwertes m ein."]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Physikalische Eingangsgrößen der Massenformel"]
[]
[]
[null,"Bezeichnung ",null,null,"Wert"]
["s0","Einheitsstrecke 1m",null,null,1,"[m]"]
[]
[]
[null,"1. Wählen Sie Werte für c und Rg"]
[null,null,null,null,"Wert"]
["Rg","Wert für Vakuumwellenwiderstand Rg (Tabelle 5)",null,6,{"$f":"INDEX(Table5,D63,3)","v":376.73031346099998},{"$f":"INDEX(Table5,D63,2)","v":"CODATA 2014"}]
["c","Wert für Lichtgeschwindigkeit c (Tabelle 4)",null,1,{"$f":"INDEX(Table4,D64,3)","v":299792465.33880228},{"$f":"INDEX(Table4,D64,2)","v":"Berechnet aus µ0 und e0"}]
[]
[null,"Falls diese Werte aus µ0 und e0 berechnet werden sollen, geben Sie diese an:"]
["µ0","Induktionskonstante ",{"$f":"INDEX(Table10,D67,3)","v":1.2566369999999999E-6},1,{"$f":"INDEX(Table10,D67,2)","v":"Heim Formel"}]
["e0","Influenzkonstante",{"$f":"INDEX(Table11,D68,3)","v":8.8541878170000005E-12},1,{"$f":"INDEX(Table11,D68,2)","v":"Heim Formel"}]
[null,"ergibt"]
[null,"Lichtgeschwindigkeit",null,null,{"$f":"1/SQRT(my0*e0)","v":299792465.33880228},"[m/s] berechnet aus µ0, e0"]
[null,"Vakuumwellenwiderstand R-",null,null,{"$f":"SQRT(my0/e0)","v":376.73030426595642},"[Ohm] berechnet aus µ0, e0"]
[]
[]
[null,"2. Wählen Sie Gamma, hq (Plancksches Wirkungsquant) und FakMeV"]
[null,null,null,null,"Wert"]
["hq","Plancksches Wirkungsquant (Tabelle 7)",null,4,{"$f":"INDEX(Table7,D76,3)","v":1.0545718E-34},{"$f":"INDEX(Table7,D76,2)","v":"CODATA 2014"},"[Ws*s] "]
["gamma","Wert für Gravitationskonstante (Tabelle 3)",null,11,{"$f":"INDEX(TableGamma,D77,3)","v":6.6740800000000003E-11},{"$f":"INDEX(TableGamma,D77,2)","v":"CODATA 2014"},"[m^3 / (kg*s^2)]"]
[null,null,null,null,{"$f":"INDEX(TableGamma,D77, 4)","v":"(Beschreibung)"}]
["fakMeV","Umrechnungsfaktor (Tabelle 8)",null,3,{"$f":"INDEX(Table8,D79,3)","v":5.6095449999999997E+29},{"$f":"INDEX(Table8,D79,2)","v":"Heim 1989b"},"[kg] -> [MeV/c^2]"]
[]
[]
[null,"Daraus abgeleitetetes Minimales Massenelement und Elementarladung"]
[]
["eq","Elektr. Elementarladung e+- (Wird für die Masse nicht verwendet)",null,null,{"$f":"3 * SQRT(2*theta*hq / Rg) / (4 * pi^2 )","v":1.602164748713722E-19},"[As] berechnet aus Theta, hq, Rg"]
[null,"my Massenelement (VI)",null,null,{"$f":"pi^(1/4) * (3*pi*gamma*hq*s0)^(1/3) * SQRT(_c*hq / (3*gamma)) / (_c*s0)","v":2.2589420334427637E-31},"[kg] berechnet aus Gamma, hq und c"]
[]
[null,"Wählen Sie einen Wert für my aus Tabelle 6 (Festwert oder berechnet).",null,null,"Wert"]
["amu","my Massenelement (Tabelle 6) oder (VI)",null,1,{"$f":"INDEX(table6,D88,3)","v":2.2589420334427637E-31},{"$f":"INDEX(table6,D88,2)","v":"Berechnet auf Seite 1"}]

{"sheet":"Elementarteilchen","index":2,"n_rows":261,"n_cols":10,"rows_kept":261,"cut":false,"hidden":false,"merged":[[16,3,16,4]]}
["Berechnung der Masse eines ausgewählten Elementarteilchens"]
[]
["Hinweis: geändert markiert Gleichungen, die sich im Stand von 1989b von der 1982-er Version unterscheiden. "]
[]
["Variable",null,"Name und Bedeutung",null,null,"Gleichung 1989","Gleichung 1982","Wert 1982","Abweichung"]
[1989,1982]
["eps","eps","Zeithelizität festlegen (1 = normal, -1 = Antiteilchen)",1]
[null,null,"Wert der Feinstrukturkonstante auswählen (siehe Tabelle2)",6]
[null,null,"gewählt wurde",{"$f":"INDEX(Table2,D8,2)","v":"CODATA 2014"}]
[null,null,"Alpha",{"$f":"INDEX(Table2,D8,3)","v":7.2973525663999998E-3}]
[null,null,"Beta",{"$f":"INDEX(Table2,D8,4)","v":0.99997337255024588}]
[null,null,"1/Alpha",{"$f":"INDEX(Table2,D8,5)","v":137.03599913815452}]
[null,null,"1/Beta",{"$f":"INDEX(Table2,D8,6)","v":1.0000266281587942}]
[]
[]
[null,null,"Teilchen durch Multiplettnummer auswählen (siehe Tabelle 1)",22,null,"Formel 1989b:","Formel 1982:","Wert 1982 falls abweichend"]
[null,null,"Name des Teilchens",{"$f":"INDEX(Table1,D16,2)","v":"o-- (1982)"}]
["k","k","Konfiguration (1 = Meson, 2 = Baryon) = Baryonenzahl +1",{"$f":"INDEX(Table1,D16,3)","v":2}]
["P","P","P = 2 * Isospin, P=0 Singulett,  P=1 Doublett, P=2 Triplett …",{"$f":"INDEX(Table1,D16,4)","v":3}]
["Q","Q","Q = 2 * Raumspin",{"$f":"INDEX(Table1,D16,5)","v":1}]
["kappa","kappa","Doublettziffer",{"$f":"INDEX(Table1,D16,6)","v":0}]
["x","x","Komponenten-Nummer des Multipletts = 1 … I",{"$f":"INDEX(Table1,D16,7)","v":4},null,null,"(I - 5)"]
[null,null,null,null,null,null,null,"1982:"]
["N","N","Resonanzordnung eingeben (0 = Grundzustand, sonst >= 2)",0,{"$f":"D239","v":"zugelassen"},null,null,{"$f":"IF(fn>temp1,\"Dieser Wert ist zu hoch!\",\"\")","v":""}]
[null,null,{"$f":"IF(N=1,\"Der Wert 1 ist nicht erlaubt. Bitte geben Sie einen anderen Wert ein!\",\"\")","v":""},null,{"$f":"C202","v":""}]
[]
[null,null,"Aus k, P, Q abgeleitete Quantenzahlen"]
[null,"epsp",null,{"$f":" eps*COS( pi * Q * (kappa + P..2) )","v":-1},null,"(17a)","(I - 10) (II-1)"]
[null,"epsq",null,{"$f":"eps*COS(pi * Q * (Q*(k-1) + P..2) )","v":1},null,"(17b) Korrektur J. M. ","(I - 10) (II-1)"]
["cs","cs","Konfigurationstransfer, Strukturdistributor (strangeness)",{"$f":" 2/(k * (1 + kappa)) * (P*epsp + Q*epsq) * (k - 1 + kappa)","v":-2},null,"(17)","(I - 9)"]
[null,"ix","Anzahl der Unterarten (Komponenten) x=1…I eines Isospinmultipletts(kpQ)",{"$f":"P+1","v":4},null,"eingeschränkt (19ff)","(I - 5)"]
[]
[]
[null,null,"Aus k, P, Q, x abgeleitete Quantenzahlen"]
["qx","qx","Elektrische Ladungsquantenzahl",{"$f":"((P + 2 - 2*x) * (1 - kappa*Q*(2 - k)) + eps*(k - 1 - (1 + kappa)*Q*(2 - k)) + cs ) /2","v":-2},null,"(18)","(II)"]
["kq","kq","q = |qx|",{"$f":"ABS(qx)","v":2},null,null,"(II)"]
[]
[]
[null,null,"Zahlen für den Grundzustand ausrechnen"]
[]
[null,null,"Invariante metrische Gerüststruktur (festes Grundraster für k = 1 oder k= 2, Baryon/Meson)"]
[null,null,"(Protosimplexbesetzung)"]
[null,"is","s",{"$f":" k^2 + 1","v":5},null,null,null,"1982:","Differenz in %"]
["q.1","q.1","Q1 = Anzahl Strukturentitäten in Zone 1",{"$f":" (2*k-(-1)^k) * 2^(is - 2)","v":24},null,"(6a) geändert","(X - 1) Ergebnis gleich",{"$f":" 3* 2^(is - 2)","v":24},{"$f":"(q.1-H44)/q.1*100","v":0}]
["q.2","q.2","Q2 = Anzahl Strukturentitäten in Zone 2",{"$f":" 2^is - 1","v":31},null,"(6b)","(X - 2)"]
["q.3","q.3","Q3 = Anzahl Strukturentitäten in Zone 3",{"$f":" 2^is + 2*(-1)^k","v":34},null,"(6c)","(X - 3)"]
["q.4","q.4","Q4 = Anzahl Strukturentitäten in Zone 4",{"$f":" 2^(is - 1) - 1","v":15},null,"(6d)","(X - 4)"]
["H","-","H = Summer der Qi",{"$f":"q.1+q.2+q.3+q.4","v":104},null,"(12b)","-"]
["B","-","B",{"$f":"3*H / (k*k*(2*k-1))","v":26},null,"(13b)","-"]
[]
[null,null,"Quantenzahlen N1, N2, N3 (auch abhängig von der Ladungsquantenzahl kq)"]
[null,null,"Sie drücken den Anstieg der Besetzungen in den Zonen aus."]
[]
["etaqk","etaqk","Hilfsfunktion eta(kq,k)",{"$f":"pi / SQRT(SQRT( (4+k)*kq^4 + pi^4))","v":0.84242384610209275},null,"(7a)","(VIII - 4)"]
["eta1k","-","Hilfsfunktion eta(1,k) für N3",{"$f":"pi / SQRT(SQRT( (4+k) + pi^4))","v":0.98516776357800506},null,"(7a)","-"]
["etaq1","-","Hilfsfunktion eta(q,1) für N3",{"$f":"pi / SQRT(SQRT( kq^4*5 + pi^4))","v":0.86080722798926157},null,"(7a)","-"]
["thetaq1","-","Hilfsfunktion theta(q,1) für N3",{"$f":"5*etaq1 + 2*SQRT(etaq1) + 1","v":7.1596300912074788},null,"(7a)","-"]
["u","-","Kürzung",{"$f":"2*pi*ebn","v":17.079468445347132},null,"(8c1)","-"]
["P..2","P..2","Binomial (P über 2)",{"$f":"IF(P<2,0,COMBIN(P,2))","v":3}]
["P..3","P..3","Binomial (P über 3)",{"$f":"IF(P<3,0,COMBIN(P,3))","v":1}]
["Q..3","Q..3","Binomial (Q über 3)",{"$f":"IF(Q<3,0,COMBIN(Q,3))","v":0}]
[]
[null,null,"Energieportionen pro Struktureinheit in den drei Zonen:"]
["alf1","alf1","kubischer Anstieg (Zentralzone), konstant",{"$f":" (1 + SQRT(etaqk)) / 2","v":0.95891825146263598},null,"(8a) (7a)","(IX - 4)"]
["NN1",null,"N1 = alf1 ",{"$f":"_alf1","v":0.95891825146263598},null,"(11a)","(IX - 1)"]
["alf2","alf2","quadratischer Anstieg (Internzone), konstant",{"$f":"1/etaqk","v":1.1870509181654987},null,"(8b) (7a)","(IX - 5)"]
["NN2",null,"N2 = 2/3 alf2 ",{"$f":" 2/3*_alf2","v":0.79136727877699908},null,"(11a)","(IX - 2)","1982:","Differenz in %"]
["alf3","alf3o","linearer Anstieg (Mesozone), f(k, Q)",{"$f":"1/k*ebn^((k-1)* (1-pi*(1-etaqk)/(1+SQRT(etaq1))* (1 -u*etaq1/ thetaq1*(1-alfmn/alfpn)*(1-SQRT(eta))^2))-4/(3*u)*(1-SQRT(eta))^2*(2*3/4*u^2/theta*(1+SQRT(etaq1))/(1-eta)-1)*kq + IF(kq=2,OffsetN3,0))","v":1.0083878557206367},"?","(8c) (7a) geändert + Korrektur J. M.","(IX - 6)",{"$f":"EXP(k-1)/k - kq*(alfa/3*(1+SQRT(etaqk))*(xi/(etaqk^2 ))^(2*k+1)*etaqk^3 + _eta11/(ebn*etaqk)*(2*xi*etaqk)^k*((1-SQRT(etaqk)) / (1+SQRT(etaqk)) )^2)","v":1.0037312440599349},{"$f":"(_alf3-H68)/_alf3*100","v":0.46178775699098906}]
["NN3",null,"N3 = 2 *alf3",{"$f":"2*_alf3","v":2.0167757114412734},null,"(11a)","(IX - 3)",{"$f":"2*alf3o","v":2.0074624881198697},{"$f":"(D69-H69)/D69*100","v":0.46178775699098906}]
[]
["NN4",null,"N4",{"$f":"4*(1+kq*(k-1)) / k","v":6},null,"(8d)","-"]
["Nk",null,"N(k) = H - Korrekturterm 1",{"$f":"q.1+q.2+q.3+q.4 + k*(-1)^k*2^(k*k-1)","v":120},null,"(8e2)","-"]
["N.k",null,"N'(k) = H - Korrekturterm 2",{"$f":"q.1+q.2+q.3+q.4 -2*k -1","v":99},null,"(8f1)","-"]
["A.n",null,"Kürzung a",{"$f":"8*(1-alfmn/alfpn)*(1-3/4*eta) / eta","v":1.1577337563356573},null,"(8e1) (8c1)","-"]
["NN5",null,"N5",{"$f":"A.n* (1 + k*(k-1)*2^(k*k+3)*Nk *A.n*((1-SQRT(etaqk))/(1+SQRT(etaqk)))^2)","v":76.7318842727624},null,"(8e)","-"]
["NN6",null,"N6",{"$f":"4*k/(u*theta) * (SQRT(k)*(k^2-1)*Nk/SQRT(eta1k) * (kq-(1-kq)*N.k/(q.4*SQRT(eta1k))) + (-1)^(k+1))*eta*(1-alfmn/alfpn)*(4*(1-SQRT(eta))/(1+SQRT(eta)))^2*q.4","v":0.21882624552774119},null,"(8f)","-"]
[]
[null,null,"a1.10 (Teil von a1)",{"$f":"1+B+ k*(Q^2+1)*Q..3","v":27}]
[null,null,"a1.11 (Teil von a1) nur bei kappa=1",{"$f":"-kappa*((B-1)*(2-k)-3*(H-2*(1+kq))*(P-Q)+1)","v":0}]
[null,null,"a1.12 (Teil von a1)  nur bei kappa=0",{"$f":"-(1-kappa)*((3*(2-kq)*P..2-Q*(3*(P+Q)+kq))*(2-k)+(k*(P+1)*P..2+(1+B/k*(k+P-Q))*(1-P..2)*(1-Q..3)-kq*(1-kq)*Q..3)*(k-1))","v":82}]
["a..1",null,"a1",{"$f":"a1.10 + a1.11 + a1.12","v":109},null,"(13c)"]
[]
[null,null,"a.20 (Teil von a2)",{"$f":"B*(1-Q..3*(1-P..3))+6/k","v":29}]
[null,null,"a.21 (Teil von a2) nur bei kappa=1",{"$f":"-kappa*(Q/2*(B-7*k)-(3*kq-1)*(k-1)+1/2*(P-Q)*(4+(B+1)*(1-kq)))","v":0}]
[null,null," a.221 (Teil von a.22)",{"$f":"(P*(B/2+2+kq)-Q*(B/2 +1 -4*(1+4*kq)))*(2-k)","v":0}]
[null,null," a.222 (Teil von a.22) nur bei k=2",{"$f":"(1/4*(B-2)*(1+3/2*(P-Q))-B/2*(1-kq)-P..2*((1/2*(B+kq-eps*qx)+3*eps*qx)*(2-eps*qx)-1/4*(B+2)*(1-kq)))*(1-Q..3)*(k-1)","v":-92}]
[null,null," a.223 (Teil von a.22)",{"$f":"-P..3*(2*(1+eps*qx)+1/2*(2-kq)*(((1-kq)+eps*qx)-kq)-kq/4*(1-kq)*(B-4)-1/4*(B-2)+B/2*(1-kq))","v":10},null,"Korrektur J. M."]
[null,null,"a.22 (Teil von a2) nur bei kappa=0",{"$f":"-(1-kappa)*(a2.221 + a2.222 + a2.223)","v":82}]
["a..2",null,"a2",{"$f":"a2.20 + a2.21 + a2.22","v":111},null,"(13d) korrigiert"]
[]
[null,null,"y1 Teil 1 von y",{"$f":"kappa*(SQRT(eta)/k*(4*(2-SQRT(eta))-pi*ebn*(1-eta)*SQRT(eta))* (k+ebn*SQRT(eta)*(k-1))+ 5*(1-kq)/(2*k+(-1)^k)*(4*B+P+Q))","v":0}]
[null,null,"y20 (Teil von y2)",{"$f":"(P-1)*(P-2)*(2/k^2*(H+2)+(2-k)/(2*pi))","v":106}]
[null,null,"y21 (Teil von y2)",{"$f":"P..2*(1-Q..3)*(kq*B/2*(B+2*(P-Q))+(P*(P+2)*B+(P+1)^2-kq*(1+eps*qx)*(k*(P^2+1)*(B+2)+1/4*(P^2+P+1))-kq*(1-eps*qx)*(B+P^2+1))*(k-1))","v":6289.5}]
[null,null,"y22 (Teil von y2)",{"$f":"((P-Q)*(H+2)+P*(5*B*(1+kq)*Q+k*(k-1)*(k*(P+Q)^2*(H+3*k+1)*(1-kq)-1/2*(B+6*k))))*(1-P..2)*(1-Q..3)","v":40088},null,"Korrektur J. M."]
[null,null,"y23 (Teil von y2)",{"$f":"P..3*(2-kq)*Q*(eps*qx*(B+2*Q+1)+kq/(2*k)*(1-eps*qx)*(2*k+1)+(1-kq)*(Q^2+1+2*B))","v":0}]
[null,null,"y2 (Teil 2 von y) = y.20 + y.21 + y22 + y.23, nur bei kappa=0",{"$f":"(1-kappa)*(y.20 + y.21 + y.22 + y.23)","v":46483.5}]
["y",null,"y = (y.1 + y.2) / (2B)",{"$f":"1/(2*B)*(y.1 + y.2)","v":893.91346153846155},null,"(13e1) korrigiert"]
["a..3",null,"a3 =f(y)",{"$f":"4*B*y/(1+y) - 1/(B+4)","v":103.85045431265736},null,"(13e)"]
[]
["A",null,"A",{"$f":"8*g*H / (2-k+8*H*(k-1))","v":14727.578670524976},null,"(12a)"]
["L",null,"L",{"$f":"(1-kappa)*Q*(2-k)","v":0},null,"(12c)",null," "]
["x..",null,"x",{"$f":"(1 -Q -P..2)*(2-k)+1/(4*B)*(a..1+k^3/(4*H)*(a..2+a..3/(4*B)))","v":1.0687867163573777},null,"(13a)",null,"1982:","Differenz in %"]
["g",null,"g Basisanstieg der Resonanzkurve",{"$f":"q.1^3 + q.2^2 + q.3/k*EXP(k-1) + ebn^(-(2*k-1) /3) - H*(k-1)","v":14727.578670524976},null,"(12c) geändert","(XV)",{"$f":"q.1^3*_alf1 + q.2^2*_alf2 + q.3*alf3o + EXP( (1-2*k)/3 )","v":14431.336582315733},{"$f":"(g-gkq)/g*100","v":2.0114785657341394}]
["WN.0","wgx","W(N=0) (1989)",{"$f":"A*ebn^(x..)*(1-eta)^L + (P-Q)*(1- P..2)*(1-Q..3) * (1-SQRT(eta))^2*SQRT(2)","v":42884.418257622863},null,"(11b)","(XIV … XV)",{"$f":"wgx","v":21492.248434880345},{"$f":"(WN.0-wgx)/WN.0*100","v":49.883315879981609}]
[]
[null,null,"1982:"]
[null,null,"aktiv bei Baryon (k=1)",{"$f":"(1-Q)*(a.11 - P*(a.12+kappa*kq/etaqk*a.13)-P..2*(a.14 - kq/etaqk*a.15)) + kappa*Q*etaqk*a.16","v":0},null,null,"(XVII)"]
[null,null,"aktiv bei Meson (k=2)",{"$f":"(kq-1)*a.21 + (1-P)*a.22 + P..2*(a.23-qx*etaqk/(1+a.24*(1+qx))*a.25)+ kappa*(a.26+kq*etaqk^2*a.31) + Q..3*etaqk*a.32 + P..3*(kq^3*a.33/(3-kq)*(qx-(-1)^kq) + ebn*(P-Q)*eta^((kq-1)*kq/4)/(8-a.66*kq*(kq-1)) * (1-kq/etaqk*(2-kq)*a.34^(1-qx)*a.35)*etaqk/eta^2-a.36)","v":0.48927636136053443},null,null,"(XVIII)"]
[null,"wgxk","wvx(k) Strukturpotenz",{"$f":"IF(k = 1,_wx1 + 1,1 +  _wx2)","v":1.4892763613605344},null,null,"(XIX ff)"]
[null,"wgx","Wvx (1982) = g(qk) * wvx",{"$f":" gkq*wgxk","v":21492.248434880345},null,null,"(XIV … XV)"]
[]
[]
[null,null,"Hilfsfunktion für Resonanzabstände (abhängig von der Feinstrukturkonstante Alfa)"]
[]
[null,"an","1982: Substitution an",{"$f":"P*a.42*(1-kappa*a.43*(1+a.44*(-alfa)^(2-k)*a.45^(k-1))*(1-kappa*Q*a.46*(2-k)) - a.51*(k-1)*(1-kappa))","v":-0.35124086494672185},null,null,"(XXI)"]
[null,"aq","1982: Substitution  aq",{"$f":"1 - kq*a.52*(1 - 2*kappa*a.53^k)*(1 + qx/6*(3-qx)*(k-1)*(1-kappa))","v":1.0595653936141018},null,null,"(XXII)"]
["C.",null,"C",{"$f":"pi*(1-SQRT(eta))^2*(1+SQRT(pi)*(k-1)+P/k^3*(3/ebn\n+kq*(8+etaqk)\n+4*pi*ebn/SQRT(eta)*(1-kappa)*(1-kq*3*pi*eta/(5*ebn*etaqk))\n-2*(k-1)*P..2*(3-P)*(2*ebn*(eta+etaqk)\n+pi*ebn/(3*SQRT(eta))*eps*qx)\n+8*pi*ebn/SQRT(eta)*kappa*(k-1)*(ebn/SQRT(eta)-kq/SQRT(ebn))))\n-2*ebn*kappa*kq/eta^2*(2-k)*(1-eta)^2","v":1.3524763233053615E-4},null,"(14b1) geändert + Korrektur J.M.",null,"1982:","Differenz in %"]
["bg","bgx","b Resonanzraster (Abstand zwischen Resonanzen)",{"$f":"alfa*theta/8*(P^2+1)*(1/2*(1+SQRT(eta))*(1+_eta11*_eta12*3/4*P..3*(k-1))+(k-1)*(theta12/theta-8*P..2/(P^2+1))) /(2*etaqk^2*SQRT(etaqk)) - C.","v":1.7749609873334328E-2},null,"(14b) geändert","(XXIII)",{"$f":"(a.54*a.55^(k-1)*(1+P*a.56*(1-kappa*a.61*a.62^(1-k)) * (1+kq*a.63*(1+kappa*a.64)))*(1-1/k*(a.65*(kq+k-1))^(2-k)*P..2 *(1-P..3 ))) / (k^P*(1+P+Q+kappa*eta^(2-kq)) )","v":2.5499329929364472E-2},{"$f":"(bg-bgx)/bg*100","v":-43.661354313329092}]
["X.",null,"X",{"$f":"kappa*(4*alfa*(B+k+1)/(1-alfa^2)*(1+5*alfa^2)/(1-5*alfa^2) - 2*(3*alfa/4/pi)^2-kq*(pi/2-1-alfa^2*pi*ebn*(1+SQRT(eta))/(2*theta*(1-6*alfa^2))) ) +1","v":1},null,"(14a1)","-"]
["ag","agx","a Resonanzbasis",{"$f":"(P^2/k*(4-k)/4+(k-1)*(pi/4*P..3-_eta11*_eta12*P..2)) /(X.*SQRT(etaqk)*etaqk^2)","v":0.17908385160487422},null,"(14a) geändert","(XX)",{"$f":"a.41/k * (1 + an*aq)","v":0.19477201761069687},{"$f":"(ag-agx)/ag*100","v":-8.7602348649707373}]
["fn.89","fn","f(N) (1989) Anregerfunktion",{"$f":"ag*N /(N + 1) + bg*N","v":0},null,"(14) geändert","(XXV)",{"$f":" (1-Q*(2-k)*(1-kappa)) * (agx*N/(N+2) + bgx*SQRT(N*(N-2)))","v":0},{"$f":"(D121-fn)/D121*100","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[null,null,"Strukturparameter der Anregungen (abhängig von ag, bg und Resonanzordnung N)"]
[]
[null,null,"Wähle eine numerische Korrektur für die Integer-Bildung: ",null,null,"OffsetN3:","Offset K:","Kommentar"]
["OffsetK",null,"Korrektur (Tabelle 9)",2,null,{"$f":"INDEX(Table9,D128,3)","v":0},{"$f":"INDEX(Table9,D128,4)","v":0},{"$f":"INDEX(Table9,D128,2)","v":"Keine Korrektur"}]
["OffsetN3"]
["deltaN",null,"1 bei N=0, sonst 0",{"$f":"IF(N=0,1,0)","v":1}]
["wn0N",null,"Anregung =WN.0*(1 + fn) ",{"$f":"WN.0*(1+fn.89)","v":42884.418257622863}]
[null,null,null,null,null,null,null,"1982:"]
["wn.1","w.1","w1 ",{"$f":"WN.0*(1+fn.89) - (k.n-1)^3*_alf1","v":1770.7982261623474},null,"Text nach 15a","(XXIX Text)",{"$f":" wgx * (1 + fn)","v":21492.248434880345}]
["k.n","k.1","Kn Protosimplexe gesamt (Zentralzone) (1989: +1)",{"$f":"INT((wn.0N/_alf1)^(1/3)+OffsetK) + 1","v":36},null,null,"(XXIX Text)",{"$f":"INT((w.1/_alf1)^(1/3) + 0)","v":28}]
["n.n","n.1","n1 = K1 - Q1 - 1 angeregte Protosimplexe",{"$f":"k.n - q.1 - 1","v":11},null,"(16a) geändert","(XXIX Text)",{"$f":" k.1 - q.1","v":4}]
["wn.2","w.2","W2",{"$f":"wn.1 - (k.m - 1)^2*_alf2","v":56.69670033136731},null,null,"(XXX Text)",{"$f":"w.1 - k.1^3*_alf1","v":442.0749787725581}]
["k.m","k.2","Km Protosimplexe gesamt (Internzone) (1989: +1)",{"$f":"INT(SQRT(wn.1/_alf2)+OffsetK)+ 1","v":39},null,null,"(XXX Text)",{"$f":"INT( SQRT(w.2 / _alf2) + 0)","v":19}]
["n.m","n.2","n2 = K2 - Q2 angeregte Protosimplexe",{"$f":"k.m - q.2 - 1","v":7},null,"(16b) geändert","(XXX Text)",{"$f":" k.2 - q.2","v":-12}]
["wn.3","w.3","W3",{"$f":"wn.2 - (k.p - 1)*_alf3","v":0.22698041101165245},null,null,"(XXXI Text)",{"$f":"w.2 - k.2^2*_alf2","v":13.54959731481307}]
["k.p","k.3","Kp Protosimplexe gesamt (Mesozone)",{"$f":"INT(wn.2/_alf3+OffsetK) + 1","v":57},null,null,"(XXXI Text)",{"$f":"INT(w.3 / alf3o + 0)","v":13}]
["n.p","n.3","n3v = K3v - Q3 angeregte Protosimplexe",{"$f":"k.p - q.3 - 1","v":22},null,"(16c) geändert","(XXXI Text)",{"$f":" k.3v - q.3","v":-21}]
[null,null,"Beta",{"$f":"(2*k-1) / (3*q.4)","v":6.6666666666666666E-2}]
[null,"w.4","W4",null,null,null,"(XXXI Text)",{"$f":" w.3 - k.3v*alf3o","v":0.50109114203391769}]
["k.sigv","k.4v","Ksigv Protosimplexe gesamt (Externzone)",{"$f":"INT(-LN(wn.3) / (2*k-1) * (3*q.4) + OffsetK) + 1","v":23},null,null,"(XXXI Text)",{"$f":"INT(IF(w.4<=0, alf3o*k.3v, -LN(w.4) / (2*k-1) * (3*q.4)  ) + 0 )","v":10}]
["n.sigma","n.4v","n4v = K4 - Q4 angeregte Protosimplexe",{"$f":"k.sigv - q.4 - 1","v":7},null,"(16d) geändert","(XXXI Text)",{"$f":" k.4v - q.4","v":-5}]
[]
[null,null,"Nur 1982: Korrektur bei verbotenem Term (W4 > 1)"]
[null,"k.3","K3 = K3v - 1 (Fallunterscheidung (a), (c))","-",null,null,"(XXXI Text)",{"$f":"IF(w.4>1,k.3v - 1, k.3v)","v":13}]
[null,"n.3","n3 = K3 - Q3","-",null,null,"(XXXI Text)",{"$f":"k.3 - q.3","v":-21}]
[null,"k.4","K4               (Fallunterscheidung (a), (c))","-",null,null,"(XXXI Text)",{"$f":"INT( IF(w.4>1, k.4v + k.3*alf3o, k.4v) + 0)","v":10},"z.B. bei Proton, N=8; n, N=6"]
[null,"n.4","n4 = K4 - Q4","-",null,null,"(XXXI Text)",{"$f":"k.4 - q.4","v":-5}]
[null,null,null,null,null,null,{"$f":"IF(w.4 > 1,\"Für dieses N existiert die Resonanzordnung nicht!\", \"\")","v":""}]
[]
[null,null,"Masse berechnen aus der Anzahl der trägheitsbehafteten komplexen Spins (zyklische Kondensationen)"]
[null,null,"Die Anteile K + G + H (1989: S, G, F) sind Teilmengen der folgenden einfachen Formel:"]
[null,null,"kgh = 4(alf1*K1^2*(1 + K1)^2/4 + alf2*K2*(2*K2^2 + 3*K2 + 1)/6 + alf3*K3*(1 + K3)/2 + K4)"]
[]
[null,null,"Massenanteile",null,null,null,null,"1982:","Differenz in %"]
["mSn","mK","S Massenanteil nur durch die ni der Anregung",{"$f":" n.n^2*(1+n.n)^2*_NN1 + n.m*(2*n.m^2+3*n.m+1)*_NN2 + n.p*(n.p+1)*_NN3 + 4*n.sigma","v":18421.428637646935},null,"(5b)","(IX - 1)",{"$f":" 4*(_alf1*n.1^2*(1+n.1)^2/4 + _alf2*n.2*(2*n.2^2 + 3*n.2 + 1)/6 + _alf3*n.3*(1+n.3)/2 + n.4)","v":-1191.9779589765803},{"$f":"(mSn-mK)/mSn*100","v":106.47060541515545}]
["mGn","mG","G Massenanteil nur durch die Gerüststruktur Qi (Grundzustand)",{"$f":"q.1^2*(1+q.1)^2*_NN1 + q.2*(2*q.2^2+3*q.2+1)*_NN2 + q.3*(q.3+1)*_NN3 + 4*q.4","v":397127.82307761139},null,"(5a)","(IX - 2)",{"$f":" 4*(_alf1*q.1^2*(1+q.1)^2/4 + _alf2*q.2*(2*q.2^2 + 3*q.2 + 1)/6 + _alf3*q.3*(1+q.3)/2 + q.4)","v":397127.82307761139},{"$f":"(mGn-mG)/mGn*100","v":0}]
["z.",null,"  Substitution Z",{"$f":"k+kappa+P+Q","v":6},null,"(21b2)"]
["U.",null,"  Substitution U",{"$f":"2^z./etaqk^2*(P^2+3/2*(P-Q)+P*(1-kq)+4*kappa*B*(1-Q)/(3-2*kq) + (k-1)*(P+2*Q-4*pi/2^(1/4)*(P-Q)*(1-kq)))","v":3168.4485774645782},null,"(21b1)"]
["fi.",null,"  fi  Selbstkopplungsterm im Grundzustand als Bestandteil von F",{"$f":"_NN4*n.p^2/(1+n.p^2)*(n.sigma+q.4)/(SQRT(1+n.sigma^2))*(2^(1/4)-4*B*U./WN.0)\n+P*(P-2)^2*(1+kappa*(1-kq)/(2*theta*alfa))*(pi/ebn)^2*SQRT(_eta12)*(q.2-q.1)\n-(P+1)*Q..3/alfa","v":-93.149046463825115},null,"(21a)","-","-"]
["mFn","mH","F Massenanteil, der durch ni und Qi bewirkt wird",{"$f":"2*n.n*q.1*(1 + 3*(n.n+q.1+n.n*q.1) + 2*(n.n^2+q.1^2))*_NN1 + 6*n.m*q.2*(1+n.m+q.2)*_NN2\n+ 2*n.p*q.3*_NN3 + fi.*deltaN","v":1203567.8489816375},null,"(5c) geändert, (5e)","(IX - 3)",{"$f":"2*n.1*q.1*(1 + 3*(n.1+q.1+n.1*q.1) + 2*(n.1^2+q.1^2))*_alf1 + 6*n.2*q.2*(1+n.2+q.2)*2/3*_alf2 + 2*n.3*q.3*2*_alf3","v":248456.26672470284},{"$f":"(mFn-mH)/mFn*100","v":79.356687956152484}]
["mFin","Fi","Fi Masseanteil aus Feldmassen",{"$f":"P*(-1)^(P+Q)*(P+Q)*_NN5 + Q*(P+1)*_NN6","v":921.65791625525981},null,"(5d) geändert","(IX - 4)",{"$f":" 3*P/(pi*SQRT(etaqk))*(1-alfm/alfp)*(P+Q)*(-1)^(P+Q) * (1-alfa/3+pi/2*(k-1)*3^(1-kq/2)) * (1+2*k*kappa/(3*eta^2)*xi*(1+xi^2*(P-Q)*(pi^2-kq))) / (1+4*xi/k*IF(P<2,0,COMBIN(P,2))*(xi/6)^kq) *(2*SQRT(_eta11*etaqk)+kq*eta^2*(k-1)) * (1+(4*pi*alfa)/(eta*SQRT(eta)) )*(1+Q*(1-kappa)*(2-k)*n.1/q.1) + 4*(1-alfm/alfp)*alfa/(xi*xi)*(P+Q) + 4*kq*alfm/alfp","v":46.832681462952976},{"$f":"(mFin-Fi)/mFin*100","v":94.918648162516035}]
[null,"fik","fik Neutrinomassen (nur Feldmassen bei leerer Gerüststruktur)",null,null,"-","(IX - 4 ohne letzen Term)",{"$f":"Fi - 4*kq*alfm/alfp","v":43.283595602527505}]
[]
[null,null,"Summe:  (S+G+F+Fi)",{"$f":"mSn+mGn+mFn+mFin","v":1620038.758613151},null,null,"Summe:  (K+G+H+Fi)",{"$f":"mK + mG + mH","v":644392.11184333765},{"$f":" kgh / (mK + mG + mH) *100","v":100.00000000000003},"[%] of kgh"]
[]
[null,null,"Kurzform der Massengleichung (nur 1982):"]
["-","kgh","kgh = K + G + H","-",null,"- (nicht genannt)","(IX - 1-3 mit Ki = ni + Qi)",{"$f":" 4*(_alf1*k.1^2*(1+k.1)^2/4 + _alf2*k.2*(2*k.2^2 + 3*k.2 + 1)/6 + _alf3*k.3*(1+k.3)/2 + k.4)","v":644392.11184333777}]
[]
[null,null,"Masse"]
["mass89",null,"m = amu * fakMeV *( alfp * (S+G+F+Fi) + 4*q*alfm)",{"$f":"fakMeV*amu*(alfpn*(mSn + mGn + mFn + mFin) + 4*kq*alfmn)","v":3761.2733480992224},"[MeV] (4) geändert",null,"(XII)",{"$f":"amu*fakMeV*alfp*(kgh + Fi)","v":1496.2015736796043},{"$f":"(mass89-H174)/mass89*100","v":60.220876410492288}]
[null,null,"Zum Vergleich: empirischer Mittelwert",{"$f":"INDEX(TableEmpCODATA2014,D16,1)","v":0},{"$f":"INDEX(Table1,D16,2)","v":"o-- (1982)"},{"$f":"INDEX(TableEmpCODATA2014,D16,3)","v":0},null,"aus Tabelle 1b_a"]
[null,null,"Abweichung zu 1982",{"$f":"(1-D175/H174) * 100","v":100},"[%]",null,null,{"$f":"(1-H174/D175)*100","v":{"$error":"#DIV/0!"}}]
[null,null,"Abs. Abweichung zum empirischen Messwert",{"$f":"ABS((1-D175/D174) * 100)","v":100}]
[null,null,"Anmerkung: "]
[null,null,"Anregungen können sich auch in einer Änderung des Drehimpulses äußern, so dass sich Q additiv um gerade Zahlen 2z erhöht,"]
[null,null,"da Q ein Ausdruck für den Drehimpuls ist. Jedoch ist z(N) noch unbekannt."]
[]
[null,null,"Lebensdauern der Grundzustände (nur 1989b)"]
[null,null,"Geometrisch ist dies eine zeitartige Begrenzung in der Koordinate x4 des R4"]
[]
["beta0",null,"Sustitution beta0",{"$f":"2*alfa/(pi*ebn)*((1-SQRT(eta))/(1+SQRT(eta)))^2","v":1.0811704418114181E-8},null,"(21a)"]
["D",null,"Substitution D",{"$f":"eta*beta0/(3*SQRT(2))*(1-SQRT(eta))^4*P^(2+eps*qx)*IF(AND(P=1,kq^2-kq=0), 1,(P-1)^((kq-1)*kq/2)) / (1+4*kq^2*(kq-1)*(2*kq+1))","v":3.9488992470686517E-20},null,"(21h) Case für P=1, q=0;1"]
["b.2",null,"Substitution b.2",{"$f":"B*(5*B+3)+(2*H-3)/(P+1)+cs^k*(B*(3*B+2*(H+1))+H+1/2)*(1-kq)\n-Q*(B*(2*(B+H)-1)+H/2+3)+kappa*kq*(B*(3*B+1)-5/2)*(k-Q)\n-P..2*P^2*(P+Q)^2*(8*B+1-(5*B-(2*H+1)*(1+2*P..3-Q)+2)*kq)\n-P..2*H*(1-kq)-(B-3/4)^2*(P-1)*(P-2)*(P-3)*(-1)^(k-1)\n+(Q-kq)*(1-kq+B*kq)*(3*(H+B)+pi*ebn/eta-kq/4)*(P+1)^3*(k-1)\n+kappa*((-1)^(1-kq)*(7*H*B+3*(H+B)-5/2)+(1-kq)*(H*(3*B-4)+B+7/2))*(k-1)\n+Q*P..2*((2-kq)*(1+eps*qx)*(B/2*(H+2)+3/4)+5/2*H*B+3*H\n-(B+5)/(P+1))-5/2*H^2*P..3*(kq*(1+pi/3*(2-kq)*_eta22)*B-(2-kq)*(1-kq))","v":-3055100.5395667953},"?","(21f)"]
["b.1",null,"Substitutution b.1",{"$f":"(P*(7+6*(1-kq)*(cs-P..2)-2*kq*(1-P..2))+kappa*Q*((3*z.-1)*B+1))*(2-k)\n+1/2*(1-kappa)*((kq-eps*qx-2)*Q+eps*cs*P+2*(P+1)\n-(1-kq)*P*(P-3)/(1+P*(P^2-1))*(4*B-6+P))*(k-1)-P..3*(kq-eps*qx)","v":-2},null,"(21e)"]
["s.",null,"Substitution s",{"$f":"2 - k + eps*cs + (2*k*Q-kappa*P) + Q..3 + 1/k*(P-1)*(P-2)*(P-3)","v":2},null,"(21d)"]
["F",null,"Substitution F",{"$f":"IF(P=3,-D,1-1/3*(1-kq)*(P-1)^2*(3-P)*(1+P-Q-eps*cs*P/2)*(1+beta0*(-1)^k)-P..3*(1+D))","v":-3.9488992470686517E-20},null,"(21c) Case für P=3, Excel rechnet falsch für P=3"]
["y.",null,"Substitution y",{"$f":"F*(fi. + (-1)^s.*(1+fi.)*(b.1 + b.2/WN.0))","v":-2.6283393407413329E-16},null,"(21a)"]
[null,null,"Existenzzeit",{"$f":"192*(hq*2*pi)*H*y.*fakMeV*deltaN / (_c^2*mass89*(_eta22*(1-SQRT(eta))^2*(1-SQRT(_eta11))^2*(1-SQRT(_eta12))^2)*(H+n.n+n.m+n.p+n.sigma)\n*(n.n+ABS(n.m)+ABS(n.p)*beta0))","v":-4.6431685374918777E-26},"[s]","(21)"]
[null,null,"Zum Vergleich: empirischer Mittelwert",{"$f":"INDEX(TableEmpTimes,D16,1)","v":0},{"$f":"INDEX(Table1,D16,2)","v":"o-- (1982)"},{"$f":"INDEX(TableEmpTimes,D16,3)","v":0},null,"aus Tabelle 1b_c"]
[null,null,"Abs. Abweichung zum empirischen Messwert",{"$f":"ABS((1-D193/D192) * 100)","v":100},"[%]"]
[]
[null,null,"Möglichkeit der zusätzlichen externen Anregung prüfen (von N abhängig) (nur 1989)"]
[]
[null,null,"Errechnet wird, ob mehr als 0 zusätzliche Protosimplexe im Externbereich erzeugt werden können. "]
[]
["Lsigma",null,"L Limit (Vollbesetzung des Externbereiches mit Anzahl Protosimplexe)",{"$f":"(_NN3*(n.p + q.3) - 2*q.4 )/2","v":41.469719920355658},null,"(9d)"]
[null,null,"KB (Bandbreite möglicher Externfeldanregungen des Anregungszustands)",{"$f":"Lsigma -n.sigma","v":34.469719920355658},null,"(14e)"]
[null,null,{"$f":"IF(D201>0,\"\",\"==> Diese Resonanz ist nicht zusätzlich extern anregbar\")","v":""}]
[]
[null,null,"Überschreiten der Resonanzgrenze überprüfen (von N abhängig)"]
[]
[null,null,"Gesucht wird die maximal mögliche Anregung Nmax=L(N) (Limit der Anregungen)."]
[null,null,"Gesucht wird dazu der maximal möglichen Anstieg alf1(L1+Q1)**3 für die Zentralzone."]
[null,null,"Daraus ergeben sich für diese Maximalbesetzung L1 die Protosimplexmengen Li der anderen Zonen."]
[null,null,"Diese können nicht überschritten werden."]
[]
[null,null,"Die Anzahl der Protosimplexe (kgh+Fi) des Grundzustandes musste hier aus Rechengründen aus Tabelle 1d entnommen werden."]
[null,null,"Sie ist daher nicht an die aktuell ausgewählten geometrischen Naturkonstanten angepasst."]
[null,null,null,null,null,null,null,"1982:","Differenz in %"]
["kghfig89","kghfig","(S + G + F + Fi) für den Grundzustand",{"$f":"INDEX(Table1d,D16,1)","v":1619647.4158086113},null,null,"(K + G + H + Fi)",{"$f":"INDEX(Table1c,D16,1)","v":660739.82064510533}]
["L.189","L.1","L1 Limit (Zentralzone)",{"$f":" INT((  (P+1)      *(kghfig89 + 1*4*kq*alfmn/alfpn)/(2*_alf1))^(1/3) -q.1)","v":126},null,"(9a) geändert","(XXXIII) substituiert mit M0 und G=k+1",{"$f":" INT( ( ( (2*(P+1))^(2-k)* (k+1) )  / (4*_alf1)* (kghfig))^(1/3) - q.1)","v":56},{"$f":"(L.189-L.1)/L.189*100","v":55.555555555555557}]
[]
[null,null,"Überführen von (15a) in die Normalform x**3 + a1x**2 + a2*x + a3 = 0",null,null,"(9b1)","(XXXIV)"]
[null,null,"mit x = (L2 + Q2)"]
["a.1","a.1","a1 = 1.5",1.5,null,null,null,1.5]
["a.2","a.2","a2 = 0.5",0.5,null,null,null,0.5]
["a.389","a.3","a3 = -3*alf1/alf2 * (L1 + Q1)**3",{"$f":"-3*_alf1/_alf2 * (L.189 + q.1)^3","v":-8179132.9651333056},null,null,null,{"$f":"-3*_alf1/_alf2 * (L.1 + q.1)^3","v":-1240804.7638957785}]
[]
[null,null,"Cardanische Lösung der reduzierten Gleichung mit den Substitutionen q und r"]
["qa","qa","qa = (3*a2 - a1**2) / 9",{"$f":" (3*a.2 - a.1^2) / 9","v":-8.3333333333333329E-2},null,null,null,{"$f":" (3*a.2 - a.1^2) / 9","v":-8.3333333333333329E-2}]
["ra.89","ra","ra = (9*a1*a2 - 27*a3 - 2*a1*3) / 54",{"$f":" (9*a.1*a.2 - 27*a.389 - 2*a.1^3) / 54","v":4089566.4825666528},null,null,null,{"$f":" (9*a.1*a.2 - 27*a.3 - 2*a.1^3) / 54","v":620402.38194788923}]
["da.89","da","da = Sqrt(qa**3 + ra**2) Diskriminante",{"$f":" SQRT(qa^3 + ra.89^2)","v":4089566.4825666528},null,null,null,{"$f":" SQRT(qa^3 + ra^2)","v":620402.38194788876}]
[]
[null,null,"Lösung"]
["sa.89","sa","sa = (ra + da)**(1/3)",{"$f":" (ra.89 + da.89)^(1/3)","v":201.48176939480589},null,null,null,{"$f":" (ra + da)^(1/3)","v":107.45694367722979}]
["ta.89","ta","ta = (ra - da)**(1/3)",{"$f":" (ra.89 - da.89)^(1/3)","v":0},null,null,null,{"$f":" (ra - da)^(1/3)","v":7.7509816990634756E-4}]
["L.289","L.2","L2 Limit (Internzone)",{"$f":" INT(sa.89 + ta.89 - a.1/3 - q.2)","v":169},null,null,"(XXXIV-1)",{"$f":" INT(sa + ta - a.1/3 - q.2)","v":75}]
["L.389","L.3","L3 Limit (Mesozone)",{"$f":" INT( SQRT(2*_alf2/_alf3*(L.289 + q.2)^2 + 0.25) - 0.5 - q.3 )","v":272},null,"(9c)","(XXXIV-2)",{"$f":" INT( SQRT(2*_alf2/alf3o*(L.2+q.2)^2 + 0.25) - 0.5 - q.3 )","v":128}]
["L.489","L.4","L4 Limit (Externzone)",{"$f":" INT( _alf3*(L.389 + q.3) - q.4 )","v":293},null,"(9d)","(XXXIV-3)",{"$f":" INT( alf3o*(L.3 + q.3) - q.4 )","v":147},{"$f":"(L.489-L.4)/L.489*100","v":49.829351535836174}]
[]
[]
["temp189","temp1","temp1 = W (N=0) = W (L1, L2, L3, L4)",{"$f":" (_alf1*(L.189 + q.1)^3 + _alf2*(L.289 + q.2)^2 + _alf3*(L.389 + q.3) + EXP((1-2*k)*(L.489 + q.4)/(3*q.4)) ) / WN.0 - 1","v":75.581188122170715},null,null,"(XXXV)",{"$f":" (_alf1*(L.1+q.1)^3 + _alf2*(L.2+q.2)^2 + alf3o*(L.3+q.3) + EXP((1-2*k)*(L.4+q.4)/(3*q.4)) ) / wgx - 1","v":22.472018522203676}]
[null,"temp2","temp2 (Schalter, = 0 bei Elektron, = 1 sonst) nur 1982",null,null,null,null,{"$f":" 1 - Q*(2 - k)*(1 - kappa)","v":1}]
[null,null,"f(N)",{"$f":"1*( ag*N/(N + 2) + bg*SQRT(N * (N - 2)) )","v":0},null,null,"(XXV)",{"$f":" temp2*( agx*N/(N + 2) + bgx*SQRT(N * (N - 2)) )","v":0}]
[null,null,"Resonanzordnung zugelassen solange f(N) > W(N=0)",{"$f":"IF(D238>temp189,\"Diese Resonanz ist nicht mehr zugelassen!\",\"zugelassen\")","v":"zugelassen"},null,null,null,{"$f":"IF(fn>temp1,\"Dieser Wert ist zu hoch!\",\"\")","v":""}]
[]
[]
[null,null,"Masse der Neutrinos (reine Feldmasse bei leerer Gerüststruktur Ki = 0)"]
[null,null,"Ein Teilchen ohne weitere Strukturelemente besitzt intern eine euklidische Metrik. "]
[null,null,"Mit leerer Gerüststruktur gilt dann ni = -Qi für die Protosimplexbesetzungen in allen Zonen. "]
[null,null,"In diesem Fall wird S + G + F = 0 und die ponderable Masse verschwindet.",null,null,null,"K+G+H =0"]
[null,null,"Es bleibt jedoch ein Anteil der Feldmasse Fi bestehen, der als Neutrino interpretierbar ist."]
[null,null,"Auch fi bleibt > 0."]
[]
[null,null,"Bitte geben Sie oben im Eingabefeld für die Multiplettnummer eine der Neutrinonummern aus Tabelle 1 ein."]
[]
[null,null,"m = amu * fakMeV * alfp * (0 + 0 + 0 + Fi)",{"$f":"fakMeV*amu*alfpn*(0*mSn + 0*mGn + 0*mFn + mFin) *1000","v":2139.8252008583331},"keV","(Text)"]
[]
[]
[null,null,"1982:"]
[null,null,"Zu den Elementarteilchen wird eine äquivalente Neutrinomasse (nur Feldmasse) ausgegeben."]
[null,null,"Einschränkungen:"]
[null,null,"Freie Neutrinostrahlung ist nur für Mesonen (k = 1) wahrscheinlich."]
[null,null,"Neutrinomasse ist nur möglich, wenn P+Q geradzahlig."]
[]
[null,null,"m(neutrino) = amu * fakMeV * alfp*(fik)",{"$f":"amu*fakMeV*alfp*(fik)","v":0.10049203947903396},"[MeV]",null,"(Fortran Programm von DESY)"]
[null,null,{"$f":"IF(MOD((P+Q),2),\"Neutrinomasse ist nur möglich, wenn P+Q geradzahlig!\",\"\")","v":""}]

{"sheet":"Tabellen","index":3,"n_rows":100,"n_cols":34,"rows_kept":100,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,"Table 1a: Quantenzahlen der Elementarteilchen",null,null,null,null,null,null,null,null,null,null,"Tabelle 1b: Empirische Werte",null,null,"Tabelle 1c:","Tabelle 1d:",null,"Tabelle 2: Werte für die Feinstrukturkonstante",null,null,null,null,null,null,null,"Tabelle 1b_a: Empirische Werte (MeV)",null,null,"Tabelle 1b_b: Empirische Werte Existenzzeiten (s)"]
[null,"(in den Multipletts)",null,null,null,null,null,null,null,null,null,null,"PDG 2004",null,null,1982,1989,null,null,null,null,null,null,null,null,null,"CODATA2014/Wikipedia",null,null,"Wikipedia"]
[null,"#","Name","k","P","Q","kappa","x","qx","Cs","Le",null,"Mittelwert","Abweichung",null,"kgh+Fi (N=0)","kgh+Fi (N=0)",null,"#","Source","Alpha","Beta","1/Alpha","1/Beta",null,null,"Mittelwert","Abweichung",null,"Mittelwert","Abweichung"]
[null,1,"eta Meson",1,0,0,0,1,0,0,2488,null,547.75,0.12,null,236372,236369.06612009878,null,1,"Heim 1982 von Seite 1",{"$f":"Konstante!C32","v":7.2973545975647232E-3},{"$f":"Konstante!C31","v":0.99997337395346553},{"$f":"1/U6","v":137.03596099519689},1.0000266267554998,null,null,547.85299999999995,"(24)","Wiki",5.0000000000000004E-19,"(3)","Wiki","https://en.wikipedia.org/wiki/Meson"]
[null,2,"K+ K-Meson",1,1,0,1,1,1,1,6630,null,493.67700000000002,1.6E-2,null,212629.83556901867,212641.75935043444,null,2,"Sch 1982",7.2973510720000002E-3,0.99998589019999995,137.03602720129621,1.0000141099990894,null,null,493.67700000000002,"(169","Wiki",1.2380000000000001E-8,"(21)","Wiki","https://en.wikipedia.org/wiki/Meson"]
[null,3,"K0 K-Meson",1,1,0,1,2,0,1,7052,null,497.64800000000002,2.1999999999999999E-2,null,214348.84179559036,214370.1083077908,null,3,"CODATA 98",7.2973525359999996E-3,0.99998589019999995,137.03599970903201,1.0000141099990894,null,null,497.61399999999998,null,"Wiki","n.a."]
[null,4,"e0",1,1,1,0,1,0,0,0,null,null,null,null,214.31529878458585,222.31547080158714,null,4,"GPROG",7.2973525332858903E-3,0.99998589019908901,137.03599975999992,1.0000141100000002]
[null,5,"e- Elektron",1,1,1,0,2,-1,0,0,null,0.51099892000000002,4.0000000000000001E-8,null,216.07547247381945,218.31546613115802,null,5,"Heim 1989 von Seite 1",{"$f":"Konstante!E32","v":7.2973504154956069E-3},{"$f":"Konstante!E31","v":0.99997337398398434},137.03603952970977,1.0000266267249793,null,null,0.51099894609999996,"(31)","CODATA 2014"]
[null,6,"my Muon",1,1,1,1,1,-1,0,3252,null,105.65836899999999,9.0000000000000006E-5,null,45507.645679237146,45505.938106349196,null,6,"CODATA 2014",7.2973525663999998E-3,{"$f":"SQRT(1/2*(1+SQRT(1-4*U11^2)))","v":0.99997337255024588},137.03599913815452,1.0000266281587942,null,null,105.65837449999999,"(24)","CODATA 2014",2.1969810999999999E-6,"(22)","Wiki","https://en.wikipedia.org/wiki/Muon"]
[null,7,"pi+- Pion/pi-Meson",1,2,0,0,1,1,0,2578,null,134.97659999999999,5.9999999999999995E-4,null,58128.628800930113,60110.550635329113,null,null,null,null,null,null,null,null,null,139.57017999999999,"(35)","Wiki",2.6032999999999999E-8,"(5)","Wiki","https://en.wikipedia.org/wiki/Meson"]
[null,8,"pi0 Pion/pi-Meson",1,2,0,0,2,0,0,973,null,139.57017999999999,3.5E-4,null,60111.702480660933,58127.509994271873,null,null,null,null,null,null,null,null,null,134.97659999999999,"(6)","Wiki",8.3999999999999997E-17,"(6)","Wiki","https://en.wikipedia.org/wiki/Meson","Bem.: je nach Wiki-Quelle schwankt die Lebenszeit geringfügig."]
[null,9,"Lambda Λ-Baryon",2,0,1,0,1,0,-1,1095,null,1115.683,6.0000000000000001E-3,null,480490.7615789714,480490.58706096257,null,"Tabelle 3: Werte für Gravitationskonstante Gamma",null,null,null,null,null,null,null,1115.683,6.0000000000000001E-3,"Wiki",2.6319999999999998E-10,0.02,"Wiki","https://de.wikipedia.org/wiki/%CE%9B-Baryon","Bem.: die englische Variante hat eine leicht andere Existenzzeit (2,631 ...)"]
[null,10,"om- Ω-Baryon/Hyperon",2,0,3,0,1,-1,-3,2357,null,1672.45,0.28999999999999998,null,720226.03874630795,720206.80737762828,null,null,null,null,null,null,null,null,null,1672.45,"(29)","Wiki",8.2100000000000006E-11,"(11)","Wiki","https://en.wikipedia.org/wiki/Omega_baryon"]
[null,11,"p proton",2,1,1,0,1,1,0,351,null,938.27202999999997,8.0000000000000007E-5,null,404114.55203993618,404116.77648443484,null,"#","Name","Value","Comment",null,null,null,null,938.27208129999997,"(58)","CODATA 2014"]
[null,12,"n neutron",2,1,1,0,2,0,0,386,null,939.56536000000006,8.0000000000000007E-5,null,404675.69949684851,404675.65330329473,null,1,"Schulz 1982, Heim1989a,b",6.6732000000000003E-11,"1982 und 1989 benutzter Wert.",null,null,null,null,939.56541330000005,"(58)","CODATA 2014",881.5,"(15)","Wiki","https://en.wikipedia.org/wiki/Neutron"]
[null,13,"xi0 Ξ-Baryon",2,1,1,1,1,0,-2,6476,null,1314.82,0.2,null,566280.12154311861,566330.33718309237,null,2,"Theorie W. Droescher 2000",6.6723079999999998E-11,"Dieser Wert war 1982 unbekannt.",null,null,null,null,1314.86,0.2,"Wiki",2.8999999999999998E-10,0.09,"Wiki","https://de.wikipedia.org/wiki/%CE%9E-Baryon"]
[null,14,"xi- Ξ-Baryon",2,1,1,1,2,-1,-2,7145,null,1321.31,0.13,null,569085.14342938806,569081.38786705595,null,3,"Theorie W. Droescher 2002",6.6733197999999996E-11,"Ergebnis des 8-dimensionalen Heim space, 1982 unbekannt.",null,null,null,null,1321.71,7.0000000000000007E-2,"Wiki",1.639E-10,1.4999999999999999E-2,"Wiki","https://de.wikipedia.org/wiki/%CE%9E-Baryon"]
[null,15,"sig+ Sigma baryon",2,2,1,0,1,1,-1,1005,null,1189.3699999999999,0.06,null,511375.21380004304,512263.59014242643,null,4,"Messung 2003",6.6738999999999998E-11,"Dieser Wert war 1982 unbekannt.",null,null,null,null,1189.3699999999999,7.0000000000000007E-2,"Wiki",8.0180000000000001E-11,2.5999999999999999E-2,"Wiki","https://en.wikipedia.org/wiki/Sigma_baryon"]
[null,16,"sig0 Sigma baryon",2,2,1,0,2,0,-1,1109,null,1192.6420000000001,2.4E-2,null,513584.36180144793,513602.00856082264,null,5,"CODATA 1998",6.6729999999999999E-11,"Dieser Wert war 1982 unbekannt.",null,null,null,null,1192.6420000000001,2.4E-2,"Wiki",7.4000000000000001E-20,0.7,"Wiki","https://en.wikipedia.org/wiki/Sigma_baryon"]
[null,17,"sig- Sigma baryon",2,2,1,0,3,-1,-1,1001,null,1197.4490000000001,0.03,null,515672.84027469764,515679.19742976618,null,6,"CODATA 2001 upper limit",6.6751199999999997E-11,"Dieser Wert war 1982 unbekannt.",null,null,null,null,1197.4490000000001,0.03,"Wiki",1.479E-10,1.0999999999999999E-2,"Wiki"]
[null,18,"o++",2,3,3,0,1,2,0,null,null,null,null,null,522422.22605535929,531016.40644672513,null,7,"CODATA 2001 lower limit",6.6733199999999998E-11,"Dieser Wert war 1982 unbekannt."]
[null,19,"o+",2,3,3,0,2,1,0,null,null,null,null,null,524912.40955597546,531746.68470281793,null,8,"(leer)","(hier Wert eingeben)","(Beschreibung)"]
[null,20,"o0",2,3,3,0,3,0,0,null,null,null,null,null,526088.90519075934,531384.62719871511,null,9,"Heim Theory Group 2003",6.6733081999999994E-11,"Dieser Wert war 1982 unbekannt."]
[null,21,"o-",2,3,3,0,4,-1,0,null,null,null,null,null,536790.72841489804,529759.20684386708,null,10,"Leovinus 2006",6.6727991500000006E-11,"Optimiert für Berechnung des Elektrons."]
[null,22,"o-- (1982)",2,3,1,0,4,-2,0,860,null,1672.45,0.28999999999999998,null,660739.82064510533,1619647.4158086113,null,11,"CODATA 2014",6.6740800000000003E-11,"(Beschreibung)"]
[null,23,"o- (1982)",2,3,1,0,3,-1,0,933,null,null,null,null,659396.86824541166,1582375.240883542]
[null,24,"o0 (1982)",2,3,1,0,2,0,0,1023,null,null,null,null,667215.79827255488,1683192.7107459558]
[null,25,"o+ (1982)",2,3,1,0,1,1,0,927,null,null,null,null,663264.96613050462,1662674.5333415947,null,"Tabelle 4: Werte für die Lichtgeschwindigkeit c"]
[null,26,"delt++ Δ-Baryon",2,3,3,0,1,2,0,1147,null,null,null,null,522467.30216926261,531016.40644672513,null,null,null,null,null,null,null,null,null,1232,2,"Wiki",5.6299999999999999E-24,0.14000000000000001,"Wiki","https://en.wikipedia.org/wiki/Delta_baryon"]
[null,27,"delt+ Δ-Baryon",2,3,3,0,2,1,0,1229,null,null,null,null,524946.02259071241,531746.68470281793,null,"#","Name","Value",null,null,null,null,null,1232,2,"Wiki",5.6299999999999999E-24,0.14000000000000001,"Wiki","https://en.wikipedia.org/wiki/Delta_baryon"]
[null,28,"delt Δ-Baryon",2,3,3,0,3,0,0,1361,null,null,null,null,526100.02114106331,531384.62719871511,null,1,"Berechnet aus µ0 und e0",{"$f":"Konstante!E70","v":299792465.33880228},null,null,null,null,null,1232,2,"Wiki",5.6299999999999999E-24,0.14000000000000001,"Wiki","https://en.wikipedia.org/wiki/Delta_baryon"]
[null,29,"delt-Δ-Baryon",2,3,3,0,4,-1,0,1227,null,null,null,null,536824.34145405504,529759.20684386708,null,2,"Schulz 1982",299792458,null,null,null,null,null,1232,2,"Wiki",5.6299999999999999E-24,0.14000000000000001,"Wiki","https://en.wikipedia.org/wiki/Delta_baryon"]
[null,30,"x13++++",2,4,1,0,1,4,3,null,null,null,null,null,null,17445839.829245392,null,3,"Heim 1989a",299792500]
[null,31,"x13+++",2,4,1,0,2,3,3,null,null,null,null,null,null,17219649.325108033,null,4,"Heim 1989b",299792458]
[null,32,"x13++",2,4,1,0,3,2,3,null,null,null,null,null,null,17111303.293660328,null,5,"CODATA 2014",299792458]
[null,33,"x13+",2,4,1,0,4,1,3,null,null,null,null,null,null,17743844.643761456]
[null,34,"x13",2,4,1,0,5,0,3,null,null,null,null,null,null,17412728.855524603]
[null,35,"neutrino1",1,0,1,0,null,0,1,null,null,null,null,null,null,null,null,"Tabelle 5: Werte für den Vakuumwellenwiderstand Rg"]
[null,36,"neutrino2",1,1,1,0,null,0,1,null,null,"Quelle:"]
[null,37,"neutrino3",1,2,0,0,null,0,1,null,null,"http://pdg.lbl.gov/2005/mcdata/mass_width_2004.csv",null,null,null,null,null,"#","Name","Value"]
[null,38,"neutrino4",2,1,1,0,null,0,1,null,null,null,null,null,null,null,null,1,"Berechnet aus µ0 und e0",{"$f":"Konstante!E71","v":376.73030426595642}]
[null,39,"neutrino5",2,1,1,1,null,0,1,null,null,null,null,null,null,null,null,2,"Schulz 1982",376.73037658999999]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"Heim 1989a",376.72482000000002]
["#","Multiplettnummer bei Heim [3]",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"Heim 1989b",376.73037658999999]
["Name","Name",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"CODATA 1998",376.73031346099998]
["k","Konfiguration (1 = Meson, 2 = Baryon)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"CODATA 2014",376.73031346099998]
["P","P = 2 * Isospin"]
["Q","Q = 2 * Spin"]
["kappa","Doublettziffer",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 6: Werte für Massenelement my (µ)"]
["x","Spielart des Multipletts"]
["qx","Ladung (wird errechnet)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","Value"]
["Cs","Strangeness (wird errechnet)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Berechnet auf Seite 1",{"$f":"Konstante!E85","v":2.2589420334427637E-31}]
["Le","Excitation limit (wird errechnet)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"Heim 1989a",2.2590274100000001E-31]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"Heim 1989b",2.2590213399999999E-31]
[null,"Die Partikel Delta (22…25) sind in der Formel 1989 verboten.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"(leer)","(hier Wert eingeben)"]
[null,"Die o-Partikel besaßen in der Formel von 1982 Q=1."]
[null,"Das Multiplett x13 ist 1989 wegen (19a) verboten."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 7: Werte für Plancksches Wirkungsquant hq"]
["Quellen:"]
["Quantenzahlen: [4]",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","Value"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Schulz 1982",1.054571596E-34]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"Heim 1989a",1.0545919E-34]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"Heim 1989b",1.0545887E-34]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"CODATA 2014",1.0545718E-34]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 8: Werte für Faktor [kgMev]"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","Value"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Schulz 1982",5.6095892000000003E+29]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"Heim 1989a",5.6095369999999998E+29]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"Heim 1989b",5.6095449999999997E+29]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"(leer)","(hier Wert eingeben)"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 9: Numerische Korrektur des Exhaustions-Verfahrens"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","OffsetN3 für o++","OffsetK"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Mazzone 2009",5.0813949999999997E-2,1.0000000000000001E-9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"Keine Korrektur",0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"(leer)","(hier Wert eingeben)",0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"(leer)","(hier Wert eingeben)",0]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 10: Wert für die Induktionskonstante µ0 (Blatt \"Konstante\")"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","Value"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Heim Formel",1.2566369999999999E-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"exakte Formel (4*PI() 10^-7)",{"$f":"4*PI()/10^7","v":1.2566370614359173E-6}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"(leer)","(hier Wert eingeben)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tabelle 11: Wert für die Influenz- (elektrische) konstante e0 (Blatt \"Konstante\")"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"#","Name","Value"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Heim Formel",8.8541878170000005E-12]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"exakte Formel (1/(µ0 c^2))",{"$f":"1/(U90*U37^2)","v":8.8541878176203892E-12}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"(leer)","(hier Wert eingeben)"]

{"sheet":"Vergleich","index":4,"n_rows":43,"n_cols":9,"rows_kept":43,"cut":false,"hidden":false,"merged":[]}
["Vergleich"]
["Name","Mass (calculated)","Mass (empirical)","Source","Deviation (%)","Lifetime (calculated)","Lifetime (empirical)","Source","Deviation (%)"]
[{"$f":"Elementarteilchen!E175","v":"o-- (1982)"},{"$f":"Elementarteilchen!D174","v":3761.2733480992224},{"$f":"Elementarteilchen!D175","v":0},{"$f":"Elementarteilchen!F175","v":0},{"$f":"Elementarteilchen!D177","v":100},{"$f":"Elementarteilchen!D192","v":-4.6431685374918777E-26},{"$f":"Elementarteilchen!D193","v":0},{"$f":"Elementarteilchen!F193","v":0},{"$f":"Elementarteilchen!D194","v":100}]
[]
["eta Meson",548.7811426197909,547.85299999999995,"Wiki",0.1691280089108238,2.3382405818953605E-19,5.0000000000000004E-19,"Wiki",113.83599441025174]
["K+ K-Meson",493.69726511505729,493.67700000000002,"Wiki",4.1047655089943014E-3,1.2371221136630449E-8,1.2380000000000001E-8,"Wiki",7.0961979198291836E-2]
["K0 K-Meson",497.70587544185622,497.61399999999998,"Wiki",1.8459786470204076E-2,"-","-","-","-"]
["e0",0.51615273345391854,"-","-","-","-","-","-","-"]
["e- Elektron",0.5109858460605422,0.51099894609999996,"CODATA 2014",2.563679514566708E-3,"-","-","-","-"]
["my Muon",105.65584979541082,105.65837449999999,"CODATA 2014",2.3895549503993863E-3,2.19946600851041E-6,2.1969810999999999E-6,"Wiki",0.11297780919528044]
["pi+- Pion/pi-Meson",139.56356912066565,139.57017999999999,"Wiki",4.7368230663646926E-3,2.6028789323678119E-8,2.6032999999999999E-8,"Wiki",1.6176996438521662E-2]
["pi0 Pion/pi-Meson",134.95539782727684,134.97659999999999,"Wiki",1.5710503666022113E-2,8.4018005424364491E-17,8.3999999999999997E-17,"Wiki",2.1430435385305646E-2]
["Lambda Λ-Baryon",1115.5612606744048,1115.683,"Wiki",1.0912831942699874E-2,2.5780402722788072E-10,2.6319999999999998E-10,"Wiki",2.0930521645224687]
["om- Ω-Baryon",1672.1176549086683,1672.45,"Wiki",1.9875700155203013E-2,1.3176698290660324E-10,8.2100000000000006E-11,"Wiki",37.693041011500817]
["p Proton",938.24730886972884,938.27208129999997,"CODATA 2014",2.6402879109710398E-3,"-","-",null,"-"]
["n Neutron",939.54074048485995,939.56541330000005,"CODATA 2014",2.6260505880060236E-3,"-","-",null,"-"]
["xi0 Ξ-Baryon/Hyperon",1314.8565276672966,1314.86,"Wiki",2.6408453166482104E-4,2.962003581078723E-10,2.8999999999999998E-10,"Wiki",2.093298653479081]
["xi- Ξ-Baryon/Hyperon",1321.2477979455148,1321.71,"Wiki",3.498223839646375E-2,1.6530834732444074E-10,1.639E-10,"Wiki",0.85195172974336097]
["sig+ Sigma baryon/Hyperon",1189.3331761708553,1189.3699999999999,"Wiki",3.0961743842983225E-3,8.0072963666706048E-11,8.0180000000000001E-11,"Wiki",0.1336735002584355]
["sig0 Sigma baryon/Hyperon",1192.4364796813882,1192.6420000000001,"Wiki",1.7235326335107715E-2,4.2908849213840083E-15,7.4000000000000001E-20,"Wiki",99.998275414014699]
["sig- Sigma baryon/Hyperon",1197.2632361429769,1197.4490000000001,"Wiki",1.5515707107294219E-2,1.481755468625331E-10,1.479E-10,"Wiki",0.18595974056956344]
["o++",1234.4384120028526,"-","-","-","-","-","-","-"]
["o+",1234.5673312097936,"-","-","-","-","-","-","-"]
["o0",1233.7226176000474,"-","-","-","-","-","-","-"]
["o-",1229.9529779516879,"-","-","-","-","-","-","-"]
["o-- (1982)",3761.2733480992224,"-","-","-","-","-","-","-"]
["o- (1982)",3673.8253479429241,"-","-","-","-","-","-","-"]
["o0 (1982)",3907.8904622110576,"-","-","-","-","-","-","-"]
["o+ (1982)",3860.2572621947693,"-","-","-","-","-","-","-"]
["delt++ Δ-Baryon",1234.4384120028526,1232,"Wiki",0.19753209063677613,3.6853215618437024E-24,5.6299999999999999E-24,"Wiki",52.76821589439291]
["delt+ Δ-Baryon",1234.5673312097936,1232,"Wiki",0.20795392400977386,5.4830934934594754E-24,5.6299999999999999E-24,"Wiki",2.6792632063590061]
["delt Δ-Baryon",1233.7226176000474,1232,"Wiki",0.13962762581093413,4.9567243711268038E-24,5.6299999999999999E-24,"Wiki",13.583075806979794]
["delt- Δ-Baryon",1229.9529779516879,1232,"Wiki",0.16643091931214382,6.4009500490988281E-24,5.6299999999999999E-24,"Wiki",12.044306598008337]
["x13++++",40504.250272477482,"-","-","-","-","-","-","-"]
["x13+++",39979.096709940437,"-","-","-","-","-","-","-"]
["x13++",39728.491163433369,"-","-","-","-","-","-","-"]
["x13+",41196.119575816847,"-","-","-","-","-","-","-"]
["x13",40427.359613157329,"-","-","-","-","-","-","-"]
["neutrino1"]
["neutrino2"]
["neutrino3"]
["neutrino4"]
["neutrino5"]

{"sheet":"Changelog","index":7,"n_rows":23,"n_cols":3,"rows_kept":23,"cut":false,"hidden":false,"merged":[]}
["Datum","Version","Changes"]
[]
["2010-03-18","0.3","Erste publizierte Version auf www.engon.de/protosimplex"]
["2010-02-24","0.27","Korrigiert: C (14b1), added neutrinos, da.89"]
[null,null,"1989 nach Gl (19a) verbotene Teilchen nachgetragen, die 1982 berechnet wurden"]
[null,null,"exp() ersetzt durch ebn^(), um Einfluss der numerischen Eingangsgrößen testen zu können"]
["2009-11-22","0.2","Erste Version basierend auf dem \"Excel Heim 1982 mass calculator\" v0.68."]
[null,null,"Darstellung der mesonischen Neutrinomassen als Feldmassen bei leerer Gerüststruktur."]
[null,null,"Die Beta-Neutrinos aus dem von k unabhängigen Term in Fi sind noch nicht dargestellt."]
[null,null,"Empirische Vergleichswerte aus http://pdg.lbl.gov/2005/mcdata/mass_width_2004.csv."]
[null,null,"Quantenzahlensätze aus Heim 1989b übernommen."]
[]
[null,null,"Numerische Korrektur entfernt (aufrunden bei Ki > x.99), weil diese für das Neutron (N=4) einen Fehler erzeugt."]
[]
[]
[null,null,"\"Es gibt keine Massenformel, es gibt keine Theorie. "]
[null,null,"Die Zahlenwerte sind schlicht und  einfach erfunden und zudem falsch.\""]
[]
[null,null,"Professor Dr. Norbert Dragon "]
[null,null,"Institut für Theoretische Physik"]
[null,null,"Appelstraße 2"]
[null,null,"D-30167 Hannover"]
[null,null,"am Mi 13 Apr. 2005 11:36 in de.sci.physik \"Erweiterte QFT von Burkhart Heim\""]

{"sheet":"Koeffizientenmatrix Aik 1982","index":8,"n_rows":19,"n_cols":7,"rows_kept":19,"cut":false,"hidden":false,"merged":[]}
["3. Koeffizientenmatrix A(ik) 1982"]
[]
["Geometrische Skalierungsfaktoren für die Wirkungen der von den Quantenzahlen adressierten multidimensionalen Spins"]
["in den in der rechten Spalte genannten Gleichungen (nur 1982)."]
["Die Faktoren enthalten die geometrischen Konstanten pi, ebn, xi und eta sowie die Feinstrukturkonstante (alfa, beta)."]
[]
[{"$f":" (pi*ebn*xi*xi)^2 *(1 - 4*pi*alfa^2) / (2 * eta^2)","v":254.83393318010442},{"$f":"2*pi*ebn*xi^2 * (theta / 8 - pi*ebn*eta*alfa^2/3) / 3","v":14.790690290552197},{"$f":"3*(4+eta*alfa) * (1 - eta^2/5*((1 - SQRT(eta))/ (1 +SQRT(eta)))^2)","v":12.021658003024509},{"$f":"(1+3*eta/(4*xi)*(2*eta*alfa - ebn^2*xi*((1 - SQRT(eta)) / (1 +SQRT(eta)))^2)) / alfa","v":137.93982660687843},{"$f":"ebn^2 * (1 - 2*ebn*alfa^2/eta) / 3","v":2.4622984348364021},{"$f":"(pi*ebn)^2 * (1 + alfa/(5*eta)*(1 + 6*alfa/pi))","v":73.03607008690706},"für w1 (Strukturpotenz Mesonen)"]
[{"$f":"2*(ebn*alfa/(2*eta))^2 * (1 - alfa/(2*xi^2))","v":2.0045765290550345E-4},{"$f":"xi*(1 - xi*(alfa*xi/(eta^2))^2) / 12","v":0.13480450088368687},{"$f":"(eta^2 + 6*xi*alfa^2) / ebn","v":0.36074127916841275},{"$f":"2*xi^2 / (3*eta)","v":1.7630042987676375},{"$f":"xi*(pi*ebn)^2 * (1 - beta^2)","v":6.2839126119805088E-3},{"$f":"2*(1 - pi/2*(ebn*xi*alfa)^2 * SQRT(eta))/(ebn*xi^2)","v":0.28058241495848557},"für w2 (Strukturpotenz Baryonen)"]
[{"$f":"(pi*ebn*alfa)^2 * (1 - (pi*ebn)^2*(1 - beta^2))","v":3.8683826530630928E-3},{"$f":"xi^2 * (1 + (2*ebn*alfa/eta)^2) / 6","v":0.43703971462425678},{"$f":"(pi*ebn*alfa*xi)^2 *(1 - 2*pi*(ebn*xi)^2*(1 - beta^2))","v":1.0101232622378619E-2},{"$f":"eta*SQRT(2*pi*eta)","v":2.4690842517441571},{"$f":"3*alfa/(ebn*xi^2)","v":3.0762159647592124E-3},{"$f":"1 / (1 - pi*ebn*(xi*ebn)^2*(1 - beta^2))","v":1.008875647079986},"für w2"]
[{"$f":"(xi*(2 + (xi*alfa)^2 ) - 2*beta) / (2*beta - alfa)","v":0.62045376040010491},{"$f":"pi*xi^2*eta*(beta - 3*alfa) / 2","v":3.981995546754475},{"$f":"xi / 2","v":0.80901699437494745},{"$f":"2 *eta^2 / xi^2","v":0.74871410618896961},{"$f":"(3*beta - alfa) / (6*xi)","v":0.30825709738813545},{"$f":"pi*ebn/(xi*eta) - ebn*eta^2*alfa/2","v":5.3214928089455169},"für avx (Resonanzbasis)"]
[{"$f":"(2*alfa + 1)^2","v":1.0294024156835133},{"$f":"6*alfa / eta^2","v":4.4674045210576378E-2},{"$f":"(xi/eta)^3","v":4.3658717123551911},{"$f":"alfa*(beta - alfa) * SQRT(3/2)","v":8.8719378271028722E-3},{"$f":"xi^3","v":4.2360679774997898},{"$f":"(xi/eta)^4","v":7.1355583228789525},"für avx, bvx"]
[{"$f":"pi*xi*(2*beta - alfa) / (12*beta)","v":0.8441093722814853},{"$f":"pi^2*(beta - 2*alfa) / 12","v":0.81044146939023254},{"$f":"SQRT(eta) / 9","v":0.11055358126765044},{"$f":"pi / (3*eta)","v":1.0577863727239696},{"$f":"pi / (3*xi)","v":0.64720367957515545},{"$f":"xi*eta","v":1.6018368873559961},"für bvx (Resonanzraster)"]
[]
["Legende:"]
[null,"Diese Terme reagieren sehr stark auf Ungenauigkeiten der Feinstrukturkonstante, da sie den Ausdruck"]
[null,"(1-beta^2) enthalten."]
[null,"Auf der nächsten Seite kann ein Wert der Feinstrukturkonstante als Berechnungsbasis ausgewählt werden!"]
[]
["Anmerkung: Andere Formel für A11 in [3]"]