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iSpace - Quantization of Time in iSpace-IQ Unit-System by 1/6961 iSpace-Second

  • June 2022
DOI:10.13140/RG.2.2.12970.90567
Authors:
Christian G. Wolf at forty-two times ten - Inh. Christian Wolf
Christian G. Wolf
  • forty-two times ten - Inh. Christian Wolf
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Abstract

This paper is an initial release of my breakthrough result on a proof of quantization of time. Its results are embedded into the simple integer-geometric framework of the iSpace project. iSpace - or integer Space (if reading the i as an imaginary i, iSpace can also be pronounced "complex-Space") aims to - and succeeds in (!) - derivation of the hidden inter-relationships and numerical values of constants of nature. The inverse prime integer 1/6961 represents the quantized clock tick in iSpace-IQ unit system, able to be lossless converted to MKSA/SI. As a working research paper within iSpace project, it targets an "without any reasonable doubt"-style conceptual mathematical proof for the *discretization of time* itself. Calculation of an exact iSpace-SI (MKSA) to iSpace-IQ unit system conversion factor shows time is quantized in units of the small prime factor 1/6961, enabling the derivation of (SI) electron-charge, Planck-constant and electron-mass in both [Kg] and [eV] by powers of 1..4 of the derived SI/MKSA Human-Artefact base time factor (47*14665487/10^24). This fully self-contained short Mathematica formatted paper is an *easy read* for everyone (with unusual code formatting for physicists). **IMPORTANT**: The current ResearchGate PDF preview function on-the-fly strongly degrades resolution of figures to save computing time. While honorable rendering becomes unreadable for small fonts. Please use *download* functionality to display PDF on your device!
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ⅈSpace - Quantization of Time in iSpace-IQ Unit-System by
1
6961
sⅈ
Three derived mass factors from primary simple ⅈSpace integer “iEMF” (Electron Mass Factor 1111130 = (10*(1+111111+1)) split off to some first
major term presumably representing the bound electron rest mass, plus a second extremely small term presumably representing 3 neutrino masses
by the integer ((110)=(10*(10+1)), fully within the KATRIN experiment predicted range of 1eV/
c2
down to 0.02 eV/
c2
). All of this ⅈSpace integer-
mathematically hidden within the “innocent” integer number 1111130 is quite stunning to find. Aside of this, note the numerical symmetry in
(
111 111)2=1
2345654321.
(c) 2022-06-17 Christian G. Wolf - cw@42 x10.de - please checkout my ResearchGate profile page under the following link
“https://www.researchgate.net/profile/Christian-Wolf-20” for details on ⅈSpace-theory to derive many constants of nature.
Initialize notebook and define examples to format and print derived mantissa digits, exponent and units:
Start with Pi3 and iEMF - the iSpace Electron Mass Factor (electronic and positronic) to derive
eSI
and
hSI
:
In[7030]:=
Pi3 =3(* iSpace CHANGED DISTANCE DEFINITION based INTEGER circular number (assuming DISCRETIZED 6 "cells" around 1 "cell" circle geometry)*)
Out[7030]=
In[7031]:=
iEMF =iSpaceElectronicMassFactor =111 113 (* per DEFINITION -but as it seems -quite PHYSICAL reasoning as REVEALED by iSpace-IQ unit system *)
Out[7031]=
111 113
In[7032]:=
iSpaceElectronVolt =1 "iSpaceElectronVolt"
Out[7032]=
iSpaceElectronVolt
In[7033]:=
iSpaceVolt =1 "iSpaceVolt"
Out[7033]=
iSpaceVolt
In[7034]:=
iSpaceAmpere =1 "iSpaceAmpere"
Out[7034]=
iSpaceAmpere
In[7035]:=
iSpaceMeter =1 "iSpaceMeter"
Out[7035]=
iSpaceMeter
In[7036]:=
iSpaceSecond =1 "iSpaceSecond"
Out[7036]=
iSpaceSecond
In[7037]:=
iQc =GoldenRatio iSpaceMeter
6961 iSpaceSecond (* speed of light as DEFINED in iSpace-IQ unit system *)
Out[7037]=
iSpaceMeter GoldenRatio
6961 iSpaceSecond
In[7038]:=
iQcN =N[iQc, MaxN]
Out[7038]=
0.000232442750861930016980977852947225702876068 iSpaceMeter
iSpaceSecond
In[7039]:=
iQe = ( GoldenRatio iSpaceAmpere) * 1
6961
iSpaceSecond (* electron charge as DEFINED in iSpace-IQ unit system *)
Out[7039]=
iSpaceAmpere iSpaceSecond GoldenRatio
6961
In[7040]:=
iQeN =N[iQe, MaxN]
Out[7040]=
0.000232442750861930016980977852947225702876068 iSpaceAmpere iSpaceSecond
In[7041]:=
iQh =(GoldenRatio iSpaceAmpere)*2*Pi3 *1 iSpaceVolt*1 iSpaceSecond
GoldenRatio iSpaceMeter (* 2*Pi3*1iSpaceNewton*)
1* 1
1 iSpaceSecond 2(*(1iSpaceHertz)2*) *iQc (* Planck constant h in iSpace-IQ unit system *)
Out[7041]=
6 iSpaceAmpere iSpaceSecond2iSpaceVolt GoldenRatio
6961
In[7042]:=
iQh == (GoldenRatio iSpaceAmpere)2* 2*Pi3*6961 iSpaceVolt
GoldenRatio iSpaceAmpere * 1
GoldenRatio iSpaceMeter
6961 iSpaceSecond
(*1/iQc*)
1
1
6961 iSpaceSecond(*iSpaceHertz*) 2*GoldenRatio iSpaceMeter
6961 iSpaceSecond (*iQc*)
Out[7042]=
True
2
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7043]:=
iQh == (GoldenRatio iSpaceAmpere)2* 2*Pi3*6961 iSpaceVolt
GoldenRatio iSpaceAmpere (* this is an integer geometrically EXACT resitance (!) - which is ... *)
1
1
6961 iSpaceSecond(*iSpaceHertz*) 2
Out[7043]=
True
In[7044]:=
iQh == (GoldenRatio iSpaceAmpere)2* iQh
iQe2(* the von-Klitzing constant (!!)and numerically EXACT to arbitrary precision (!!!) *)
1
1
6961 iSpaceSecond(*iSpaceHertz*) 2
Out[7044]=
True
In[7045]:=
iQh == (GoldenRatio iSpaceAmpere)* 1
6961
iSpaceSecond
2*iQh
iQe2
Out[7045]=
True
In[7046]:=
iQh == (iQe)2*iQh
iQe2
Out[7046]=
True
In[7047]:=
iQh == (iQh)
Out[7047]=
True
In[7048]:=
iQhN =N[iQh, MaxN]
Out[7048]=
0.00139465650517158010188586711768335421725641 iSpaceAmpere iSpaceSecond2iSpaceVolt
In[7049]:=
iQQHR =iQh
iQe2
Out[7049]=
41 766 iSpaceVolt
iSpaceAmpere GoldenRatio
In[7050]:=
iQQHRN =N[iQQHR, MaxN](* should come as a BIG SUPRISE -a unit system agnostic SWEET SPOT -exactly same value as in iSpace-SI (SI/MKSA)units!*)
Out[7050]=
25 812.8075741281082301127737241152416247064 iSpaceVolt
iSpaceAmpere
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
3
In[7051]:=
iQtB =1
6961
iSpaceSecond(*quantum-physics*) (* iSpace Base-time is INTEGER quantized by inverse of prime number 6961 in iSpace-IQ unit system *)
Out[7051]=
iSpaceSecond
6961
In[7052]:=
iQtBN =N[iQtB, MaxN]
Out[7052]=
0.000143657520471196667145525068237322223818417 iSpaceSecond
In[7053]:=
itB =1
6961
iSpaceSecond(*quantum-physics*) *47 *14 665 487
1024
Second
iSpaceSecond (*SI time induced HUMAN-ARTEFACT*) (* SI iSpace Base-time *)
Out[7053]=
689 277 889 Second
6 961 000 000 000 000 000 000 000 000
In[7054]:=
itBN =N[itB, MaxN]
Out[7054]=
9.90199524493607240339031748312024134463439 ×10-20 Second
In[7055]:=
itBHA =iSpaceBaseTimeHumanArtefactFactor =47 *14 665 487
1024 (*SI time induced HUMAN-ARTEFACT*) (* iSpace Base-time correction factor for SI units *)
Out[7055]=
689 277 889
1 000 000 000 000 000 000 000 000
In[7056]:=
itBHAN =N[itBHA, MaxN]
Out[7056]=
6.89277889000000000000000000000000000000000 ×10-16
In[7057]:=
iQe ⩵ (GoldenRatio iSpaceAmpere)*iQtB
Out[7057]=
True
In[7058]:=
ieWithIQUnitN =iQeN *(itBHA)(* from which immediately follows SI electron charge by itBHA with simple 1:1 iSpace-IQ to iSpace-SI unit correction *)
Out[7058]=
1.60217648627464052570382567635216160884957 ×10-19 iSpaceAmpere iSpaceSecond
In[7059]:=
ie =iQe *(itBHA)1*1 Ampere *(1 Second)1
1 iSpaceAmpere * (1 iSpaceSecond)1(* iSpace-Base time human artefact correction is required to the POWER of ***Seconds***used *)
Out[7059]=
689 277 889 Ampere GoldenRatio Second
6 961 000 000 000 000 000 000 000 000
4
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7060]:=
ieN =N[ie, MaxN]
Out[7060]=
1.60217648627464052570382567635216160884957 ×10-19 Ampere Second
In[7061]:=
ih =iQh *(itBHA)2*1 Volt *1 Ampere *(1 Second)2
1 iSpaceVolt *1 iSpaceAmpere * (1 iSpaceSecond)2(*iSpace-Base time human artefact correction to the power of 2 *)
Out[7061]=
1 425 312 024 792 888 963 Ampere GoldenRatio Second2Volt
3 480 500 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000
In[7062]:=
ihN =N[ih, MaxN]
Out[7062]=
6.62606895758893017474589920852009104600807 ×10-34 Ampere Second2Volt
This also works to the power of 3 and 4 (hence by no means numerology!) for iSpaceKilogram to Kilogram:
In[7063]:=
iQKg =iSpaceIQKilogram =1*1 iSpaceVolt *1 iSpaceAmpere * (iSpaceSecond)3
(iSpaceMeter)2(* 1 iSpace-IQ (unit)Kilogram in iSpace-IQ unit system *)
Out[7063]=
iSpaceAmpere iSpaceSecond3iSpaceVolt
iSpaceMeter2
In[7064]:=
iKg =iSpaceSIKilogram =1*1 Volt *1 Ampere * (Second)3
(Meter)2(* 1 iSpace-SI (unit)Kilogram in iSpace-SI (aka SI/MKSA compatible)unit system *)
Out[7064]=
Ampere Second3Volt
Meter2
In[7065]:=
(* Now we show how an iSpace-IQ integer mass factor like 1111130 can be converted to well known masses based on SI/MKSA measurement results: *)
In[7066]:=
ic =299 792 458 Meter
1 Second (* speed of light as DEFINED in iSpace-SI fully compatible to SI/MKSA unit system *)
Out[7066]=
299 792 458 Meter
Second
In[7067]:=
icN =N[ic, MaxN]
Out[7067]=
2.99792458000000000000000000000000000000000 ×108Meter
Second
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
5
In[7068]:=
iSIUnitKilogramToSIAcceptedUnitElectronVoltFactorExact =1
ie *1 ElectronVolt
1 Volt *ic2(* well known conversion factor from SI Kg to eV (now EXACT one)*)
Out[7068]=
625 623 479 918 698 759 204 000 000 000 000 000 000 000 000 ElectronVolt Meter2
689 277 889 Ampere GoldenRatio Second3Volt
In[7069]:=
iSIUnitKilogramToSIAcceptedUnitElectronVoltFactorExactN =N[iSIUnitKilogramToSIAcceptedUnitElectronVoltFactorExact, MaxN]
Out[7069]=
5.60958912102493301403953509387058155199836 ×1035 ElectronVolt Meter2
Ampere Second3Volt
In[7070]:=
iElectronMassFromCODATAinMKSASI =9.10938215`9 *10-31 Kilogram (* electron mass from CODATA normalized measurement in SI Kilogram with 9 digits *)
Out[7070]=
9.10938215 ×10-31 Kilogram
In[7071]:=
iElectronMassFromCODATAiniSpaceSI =iElectronMassFromCODATAinMKSASI *
1 Volt*1 Ampere*(Second)3
(1 Meter)2
1 Kilogram
Out[7071]=
9.10938215 ×10-31 Ampere Second3Volt
Meter2
In[7072]:=
iElectronMassFromCODATAinMKSASIeV =iElectronMassFromCODATAiniSpaceSI *iSIUnitKilogramToSIAcceptedUnitElectronVoltFactorExact
Out[7072]=
510 998.910 ElectronVolt
In[7073]:=
iEMF10 =iEMFtimes10 = (10 *(iEMF))(* universal unitless iSpace-IQ electron (electronic and positronic)mass factor *)
Out[7073]=
1 111 130
In[7074]:=
iEMF10N =N[iEMF10, MaxN]
Out[7074]=
1.11113000000000000000000000000000000000000 ×106
In[7075]:=
(* to convert iEMF10 to iQme in iQKg we arrive at the FOLLOWING equations (without referring to quite complex iSpace path of derivation here):*)
6
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7076]:=
iQc2iEMFGeomSpeedRatio =iQc
iEMF10
π3
iSpaceMeter
iSpaceSecond
Out[7076]=
GoldenRatio π3
6961 1 111 130
In[7077]:=
iQc2iEMFGeomSpeedRatioN =N[iQc2iEMFGeomSpeedRatio, MaxN]
Out[7077]=
6.83727720312159103599348293084946540789814 ×10-6
In[7078]:=
iQme =iEMF10
π3
iSpaceMeter
iSpaceSecond
2
*iSpaceElectronVolt
iQc2
1
*2*(2*Pi3 *π)3*(2*Pi3 *6961)
(iSpaceElectronVolt)
iSpaceVolt*iSpaceAmpere*iSpaceSecond3
iSpaceMeter2
2
*1
iQe *iSpaceElectronVolt
iSpaceVolt *iQc2
1
Out[7078]=
139 554 272 862 308 160 iSpaceAmpere iSpaceSecond3iSpaceVolt
iSpaceMeter2GoldenRatio π3
In[7079]:=
iQmeN =N[iQme, MaxN]
Out[7079]=
2.78167174967457317942049695305929026881077 ×1015 iSpaceAmpere iSpaceSecond3iSpaceVolt
iSpaceMeter2
In[7080]:=
iQme (* NO NEED for iSpace-IQ (itBHA)3correction *)
iEMF10 * 1 iSpaceVolt*1 iSpaceAmpere*(1 iSpaceSecond)3
(1 iSpaceMeter)2* (itBHA)0⩵(2*Pi3 *6961)*2*Pi3 *2
GoldenRatio * π3
2
*1 iSpaceVolt*iSpaceAmpere*(1 iSpaceSecond)3
(iSpaceMeter)2
1 iSpaceVolt*iSpaceAmpere*(1 iSpaceSecond)3
(iSpaceMeter)2
Out[7080]=
True
In[7081]:=
(* to convert iEMF10 to iQme in iQeV we arrive at THIS equation (note the only difference to iQme (iQKg)being FINAL EXPONENT incremented to 2):*)
In[7082]:=
iQmeIneV =iEMF10
π3
iSpaceMeter
iSpaceSecond
2
*iSpaceElectronVolt
iQc2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(iSpaceElectronVolt)
iSpaceVolt*iSpaceAmpere*iSpaceSecond3
iSpaceMeter2
2
*1
iQe *iSpaceElectronVolt
iSpaceVolt *iQc2
2
Out[7082]=
20 048 020 810 560 iSpaceElectronVolt
π3
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
7
In[7083]:=
iQmeIneVN =N[iQmeIneV, MaxN]
Out[7083]=
6.46579433489275773333254954066517627429689 ×1011 iSpaceElectronVolt
In[7084]:=
iQmeIneV (* NO NEED for iSpace-IQ (itBHA)2correction *)
iEMF10 *(iSpaceElectronVolt) *(itBHA)0== (2*Pi3 *6961)*2*Pi3 *2
GoldenRatio * π3
2
*GoldenRatio
6961 *(iSpaceElectronVolt)
(iSpaceElectronVolt)
Out[7084]=
True
In[7085]:=
(* now its getting VERY INTERESTING ... to derive ime in SI unit Kg we SHOULD succeed with a structurally IDENTICAL equation (just UNITS changed):*)
In[7086]:=
ic2iEMFGeomSpeedRatio =ic
iEMF10
π3
Meter
Second
Out[7086]=
149 896 229 2
555 565
π3
In[7087]:=
ic2iEMFGeomSpeedRatioN =N[ic2iEMFGeomSpeedRatio, MaxN]
Out[7087]=
8.81836121432213660501855633769500539758878 ×106
In[7088]:=
imeNotYet =iEMF10
π3
Meter
Second
2
*ElectronVolt
ic2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(ElectronVolt)
Volt*Ampere*Second3
(Meter)2
2
*1
ie *ElectronVolt
Volt *ic2
1
Out[7088]=
139 554 272 862 308 160 000 000 000 000 000 000 000 000 Ampere Second3Volt
689 277 889 GoldenRatio Meter2π3
In[7089]:=
imeNotYetN =N[imeNotYet, MaxN](* unfortunately its NOT right -YET -as we have "forgotten" to include the PROPER -here (itBHA)4factor!*)
Out[7089]=
4.03563177358003598954919755602270634973287 ×1030 Ampere Second3Volt
Meter2
8
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7090]:=
ime =iEMF10
π3
Meter
Second
2
*ElectronVolt
ic2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(ElectronVolt)
Volt*Ampere*Second3
Meter2
2
*1
ie *ElectronVolt
Volt *ic2
1*(itBHA)4
Out[7090]=
142 815 781 762 059 939 741 047 502 503 034 282 047 097 Ampere Second3Volt
3 125 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio Meter2π3
In[7091]:=
imeN =N[ime, MaxN](* and VIOLA -iSpace-SI theoretical electron mass in SI/MKSA unit Kg from iSpace geometrical first principles (EXACT)! *)
Out[7091]=
9.10938214673629989328651884285560488235943 ×10-31 Ampere Second3Volt
Meter2
In[7092]:=
ime == imeNotYet *(itBHA)4(* correction is SUBTLE, as depending on the equations "use" of the SI unit "Second" DIFFERENT itBHA exponents do apply!*)
Out[7092]=
True
In[7093]:=
ime ⩵iQme *(itBHA)3*
1 Volt*Ampere*(1 Second)3
(1 Meter)2
1 iSpaceVolt*iSpaceAmpere*(1 iSpaceSecond)3
(iSpaceMeter)2
(* while OBVIOUSLY (1Second)3used here, Second use can be HIDDEN (in ic's Meter/Second ...)*)
Out[7093]=
True
In[7094]:=
imeDivitBHAPow1 =ime (itBHA)1
Out[7094]=
207 196 232 522 787 249 513 885 832 050 873 Ampere Second3Volt
3 125 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio Meter2π3
In[7095]:=
imeDivitBHAPow2 =ime (itBHA)2
Out[7095]=
300 598 983 123 317 988 100 857 Ampere Second3Volt
3 125 000 000 000 000 000 000 GoldenRatio Meter2π3
In[7096]:=
imeDivitBHAPow3 =ime (itBHA)3(* power of 3 is very helpful in this case as itBHA is physically involved in power of 3!*)
Out[7096]=
139 554 272 862 308 160 Ampere Second3Volt
GoldenRatio Meter2π3
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
9
In[7097]:=
ime (* NEED for PROPER iSpace-IQ (itBHA)3correction HERE *)
iEMF10 * 1 iSpaceVolt*1 iSpaceAmpere*(1 iSpaceSecond)3
(1 iSpaceMeter)2*(itBHA)3⩵(2*Pi3 *6961)*2*Pi3*2
GoldenRatio * π3
2
*
1 Volt*Ampere*(1 Second)3
(1 Meter)2
1 iSpaceVolt*iSpaceAmpere*(1 iSpaceSecond)3
(iSpaceMeter)2
Out[7097]=
True
In[7098]:=
(* to convert iEMF10 to ime in eV we arrive at THIS equation (note the only difference to ime (Kg)being FINAL EXPONENT incremented to 2):*)
In[7099]:=
imeIneVNotYet =iEMF10
π3
Meter
Second
2
*ElectronVolt
ic2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(ElectronVolt)
Volt*Ampere*Second3
(Meter)2
2
*1
ie *ElectronVolt
Volt *ic2
2
Out[7099]=
87 308 429 825 640 856 349 507 596 131 484 304 640 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 ElectronVolt
475 104 008 264 296 321 GoldenRatio2π3
In[7100]:=
imeIneVNotYetN =N[imeIneVNotYet, MaxN](* unfortunately its NOT right -YET -as we have "forgotten" to include the PROPER -here (itBHA)4factor!*)
Out[7100]=
2.26382360935371255734327132529882838033196 ×1066 ElectronVolt
In[7101]:=
imeIneV =iEMF10
π3
Meter
Second
2
*ElectronVolt
ic2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(ElectronVolt)
Volt*Ampere*Second3
Meter2
2
*1
ie *ElectronVolt
Volt *ic2
2*(itBHA)4
Out[7101]=
32 406 707 004 237 506 887 036 607 460 138 934 330 204 789 926 246 273 ElectronVolt
781 250 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio2π3
In[7102]:=
imeIneVN =N[imeIneV, MaxN]
Out[7102]=
510 998.909895906978901295835346660403120869 ElectronVolt
In[7103]:=
imeIneV == imeIneVNotYet *(itBHA)4(* its SUBTLE, as depending on the equations "use" of the SI unit "Second" DIFFERENT itBHA exponents do apply!*)
Out[7103]=
True
In[7104]:=
imeIneV ⩵iQmeIneV *iSpaceMeter
iSpaceSecond
iQc *ic
Meter
Second
2
*6961 (ElectronVolt)
GoldenRatio (iSpaceElectronVolt)*(itBHA)2(* NOT (itBHA)3, but (itBHA)2in this case! *)
Out[7104]=
True
10
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7105]:=
imeIneVDivitBHAPow1 =imeIneV (itBHA)1
Out[7105]=
47 015 445 470 408 099 638 078 782 852 323 490 577 259 457 ElectronVolt
781 250 000 000 000 000 000 GoldenRatio2π3
In[7106]:=
imeIneVDivitBHAPow2 =imeIneV (itBHA)2
Out[7106]=
87 308 429 825 640 856 349 507 596 131 484 304 640 ElectronVolt
GoldenRatio2π3
In[7107]:=
imeIneVDivitBHAPow3 =imeIneV (itBHA)3(* power of 3 NOT helpful at all in eV case as itBHA is physically only involved to the power of 2 here!*)
Out[7107]=
87 308 429 825 640 856 349 507 596 131 484 304 640 000 000 000 000 000 000 000 000 ElectronVolt
689 277 889 GoldenRatio2π3
In[7108]:=
imeIneV (* NEED for PROPER iSpace-IQ (itBHA)2correction HERE *)
iEMF10 *(ElectronVolt)*(itBHA)2== (2*Pi3 *6961)*2*Pi3 *2
GoldenRatio * π3
2
*iSpaceMeter
iSpaceSecond
iQc *ic
Meter
Second
2
*ElectronVolt
ElectronVolt
Out[7108]=
True
In[7109]:=
imeIneV == iEMF10
π3
Meter
Second
2
*ElectronVolt
ic2
1
*2*(2*Pi3 * π)3* (2*Pi3 *6961)
(ElectronVolt)
Volt*Ampere*Second3
(Meter)2
2
*1
ie *ElectronVolt
Volt *ic2
2*(itBHA)4
Out[7109]=
True
Understanding iEMF10 electron mass relations we can check for ⅈSpace style neutrino mass generation:
In[7110]:=
iEMF10 == (10 *(1+111 111 +1)) ⩵ (10)*1-2
3
(2*Pi3 *1)+(10)*1-1
3*(10)6
(2*Pi3 *1)+(10)*(10 +1)
(2*Pi3 *1)⩵(10)*1
3
(2*Pi3 *1)+(10)*106*2
3
(2*Pi3 *1)+(10)*(11)
(2*Pi3 *1)
Out[7110]=
True
In[7111]:=
(* HEURISTICAL assumption is neutrino masses should be based on ratio of iEMF10 (1111130)to derived NEW small (11)mass(es):*)
In[7112]:=
(* Its justified by verified correct relation (imFg/ime=ime/imPlanck)based on square relation derived by John Macken: (Fg/FE⩵FE/FPlanck)*)
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
11
In[7113]:=
(* so with about 606070.9`42 :=it is as simple as just (10*(1+111111+1))
11
2*Pi3*1aka ElectronMass
NeutrinoMass factor ratio in raw iSpace-IQ integer units ... !!!*)
In[7114]:=
(* from this NATURALLY follows a 6-fold (2*Pi3 fold!) symmetry of Neutrino flavors *)
(* im0 is a neutrino range mass which is "near zero" with im1,im2,im3 the flavors *)
iQm0ToiQmeRatio =iQm0NeutrinoMassFactorToiQmeElectronMassFactorRatio =(10 *(1+111 111 +1)) (* effective iSpace Electron-mass factor (IQ)*)
11
2*Pi3*1(* assumed iSpace Neutrino-mass factors (heuristic only)*)
Out[7114]=
6 666 780
11
In[7115]:=
iQm0ToiQmeRatioN =iQm0NeutrinoMassFactorToiQmeElectronMassFactorRatioN =N[iQm0ToiQmeRatio, MaxN]
Out[7115]=
606 070.909090909090909090909090909090909091
In[7116]:=
(* now let me show you the iSpace-SI based Neutrino-mass range in accepted iSpace-SI unit ElectronVolt: *)
In[7117]:=
ime == 142 815 781 762 059 939 741 047 502 503 034 282 047 097 Ampere Second3Volt
3 125 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio Meter2π3(* to repeat from above for reference ... *)
Out[7117]=
True
In[7118]:=
imeN
Out[7118]=
9.10938214673629989328651884285560488235943 ×10-31 Ampere Second3Volt
Meter2
In[7119]:=
ie == 689 277 889 Ampere GoldenRatio Second
6 961 000 000 000 000 000 000 000 000 (* to repeat from above for reference ... *)
Out[7119]=
True
In[7120]:=
ieN
Out[7120]=
1.60217648627464052570382567635216160884957 ×10-19 Ampere Second
In[7121]:=
ic == 299 792 458 Meter
Second (* to repeat from above for reference ... *)
Out[7121]=
True
12
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
In[7122]:=
icN
Out[7122]=
2.99792458000000000000000000000000000000000 ×108Meter
Second
In[7123]:=
imeIneV ⩵ime *1
ie *1 ElectronVolt
1 Volt *ic2(* to repeat from above for reference ... *)
Out[7123]=
True
In[7124]:=
imeIneVN
Out[7124]=
510 998.909895906978901295835346660403120869 ElectronVolt
In[7125]:=
(* A QUITE PROMISING note on the currect best measurement limits for Neutrino mass from KATRIN experiment is a PERFECT MATCH: *)
Quote: “... KATRIN cut the mass range for the neutrino by more than half by lowering the upper limit of the neutrino' s mass from 2 eV to about 1 eV.The lower limit for the neutrino mass, 0.02 eV, was set by previous experiments by
other groups. ...” (end quote) - see link reference: “https://www.washington.edu/news/2019/09/16/katrin-neutrino-mass-estimate-in-half/”
In[7126]:=
im0IneV =im0NeutrinoBaseMassIneV =1
(*2*Pi3*)1*imeIneV
iQm0ToiQmeRatio (* im0 is assumed EXACT proper Neutrino base mass factor (might be a particle)*)
Out[7126]=
1 069 403 151 286 265 860 752 575 252 405 293 942 899 728 772 177 ElectronVolt
15 625 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio2π3
In[7127]:=
im0IneVN =N[im0IneV, MaxN]
Out[7127]=
0.843133868052489622863549447981373981791744 ElectronVolt
In[7128]:=
im1IneV =1
2(*Pi3*)*1*imeIneV
iQm0ToiQmeRatio (* im1 is proposed EXACT proper mass of experimentally verified Neutrino flavor 1 of 3 *)
Out[7128]=
1 069 403 151 286 265 860 752 575 252 405 293 942 899 728 772 177 ElectronVolt
31 250 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio2π3
In[7129]:=
im1IneVN =N[im1IneV, MaxN]
Out[7129]=
0.421566934026244811431774723990686990895872 ElectronVolt
iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
13
In[7130]:=
im2IneV =1
(*2*)Pi3 *1*imeIneV
iQm0ToiQmeRatio (* im2 is proposed EXACT proper mass of experimentally verified Neutrino flavor 2 of 3 *)
Out[7130]=
356 467 717 095 421 953 584 191 750 801 764 647 633 242 924 059 ElectronVolt
15 625 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio2π3
In[7131]:=
im2IneVN =N[im2IneV, MaxN]
Out[7131]=
0.281044622684163207621183149327124660597248 ElectronVolt
In[7132]:=
im3IneV =1
2*Pi3 *1*imeIneV
iQm0ToiQmeRatio (* im3 is proposed EXACT proper mass of experimentally verified Neutrino flavor 3 of 3 *)
Out[7132]=
356 467 717 095 421 953 584 191 750 801 764 647 633 242 924 059 ElectronVolt
31 250 000 000 000 000 000 000 000 000 000 000 000 000 000 000 GoldenRatio2π3
In[7133]:=
im3IneVN =N[im3IneV, MaxN]
Out[7133]=
0.140522311342081603810591574663562330298624 ElectronVolt
In[7134]:=
(* That was easy -wasn't it? ... mathematically only :-) - In practice this was EXTREMELY HARD to find and simplify!*)
Thank you for following me thru this presentation!
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End of file "iSpace - Quantization of Time in iSpace-IQ Unit-System.nb" • Version 2022-06-17-2142 • Written and compiled with Mathematica 12.1.1 on macOS Mojave 10.14.6 (x86-64)
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iSpace - Quantization of Time in iSpace-IQ Unit-System.nb
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