Color print Values table 1280 X 960 GIF B & W print Tutorial back, Symbol key Planck constants map, Tutorial next Wedges as displacement into the fourth dimension
Color print 1280 X 960 GIF Grayscale print
Color print 1280 X 960 GIF B & W print
Color print 1280 X 960 GIF B & W print The graphic just above is a 2D portrayal of a 3D map, but includes representation of displacement into 4D, where multiplication by a factor of 1/{([4Pi][k])^[1/2]} = ([Ke]^[1/2]) is symbolized by a single wedge expanding away from view and behind the 2D depiction plane, and division by that factor is signified by a single wedge expanding toward being in front of the depiction plane of the page: Moving two wedges toward behind the depiction plane of this image is multiplication by the Coulomb constant [Ke] in (Meters per Farad)^+1 and moving two wedges toward being in front of the image is division by the Coulomb constant [Ke] in (Meters per Farad)^+1 . Numbers between asterisks below refer to locations in the graphics above: four different projections of that vector space populated by single occurrences or combinations of pre-existing, pre-defined and familiar atomic unit constants whose current CODATA 2022 values mesh to form a self-validating, internally consistent and coherent space: every vector from the origin to a principal plot point and every vector between principal plot points is recognizable as a single constant or some combination of constants multiplied by no numerical factor except one. With this precedent established for both the validity of the mapping technique and the state of coherence, it can only be called compelling evidence that only one numerical value for the Newtonian gravitational constant produces a state of coherence in the periodic table of Planck unit constants. GUNTERTABLE2 only print ---------------------------------++--------------------------------- GUNTERTABLE2 : for the Periodic Table of Atomic Unit Constants ---------------------------------++--------------------------------- PWR OF TEN | IDENTITIES, NOTES, REFERENCES | UNITS ---------------------------------++--------------------------------- AUN = Atomic unit of PUN = Planck unit of 0.0000000 1 = [10]^0 = [Anything]^0 *0* = {[10]^0}{[Me]^0}{[a0]^0}{[2af]^0}{{[Ke]^0} ORIGIN + 9.9536414 [Ke] = [hB][v0]/{[Q0]^2} = [v0][RK]/[2Pi] fradMetr = [z0]{[v0]^2}/([4Pi]{[aa]^2}[c]) = [a0][B0]/{[Me][Jf][Pi]} = [d]{[v0]^2}/([4Pi]{[aa]^2}) = [FBH]{[PL]^2}/{[PX]^2} *0* = 1/{[4Pi][k]} = Coulomb constant = 1/[AUN permittivity] - 30.0405110 [Me] = [PM][PL]/{[aa][a0]} Kgrm=h2tzmetrNwtn = 2[Rc][h]/([c]{[aa]^2}) = [Fe]/{[v0][2af]} CuulhrtzTsla = {[B0]^2}{[a0]^3}/[Ke] = [Q0][B0]/[2af] FradM2trT2la = {[B0]^2}[AUN electric polarizability] C2ulHnrym2tr = {[Q0]^2}[d]/([a0][4Pi]{[aa]^2}) C2uljuulM2trT2la = {[i0]^2}[RK]/([2af]{[v0]^2}[2Pi]) A2prh3tzm2trOhmm = [Ke]{[Q0]^2}/({[v0]^2}[a0]) C2ulfradh2tzm2tr = [B0][a0]/{[Jf][Pi][Ke]} FradhrtzTslaVltt = [Eg0][a0]/{[2af][Jf][Pi][Ke]} Fradh2tzm2trV2tt *1* = [Me] = electron mass = natural unit of mass = AUN mass - 10.2763989 [a0] = {[Pi][B0][Jf]}^-.5 = [aa]/{[Rc][4Pi]} Metr = [Re]/{[aa]^2} = {[Pi][B0]/[w0]}^-.5 = [Cw]/{[aa][2Pi]} = [4Pi][k]{[hB]^2}/([Me]{[Q0]^2}) = [PM][PL]/{[aa][Me]} *2* = [a0] = {[hB]^2}/([Ke][Me]{[Q0]^2}) = Bohr radius = AUN length - 20.2300403 [C0] = [a0]/[Ke] = [Q0]/[vT0] Cuulvltt=Frad = [G0][Pi]/[2af] = {[Q0]^2}/[He] hrtzohmm=C2uljuul *2* = [a0]{[Ke]^-1} = AUN capacitance + 16.6163849 [2af] = [2Pi][f0] = [He]/[hB] Hrtz=fradohmm = {[2Pi]/[RK]}{[Ke]/[a0]} = [i0]/[Q0] = [QeM][B0] CuulkgrmTsla *3* = [2af] = [Me]{[Q0]^4}{[Ke]^2}/{[hB]^3} = AUN frequency - 16.6163849 [AT] = [hB]/[He] = [Q0]/[i0] hrtz=FradOhmm = {[RK]/[2Pi]}{[a0]/[Ke]} = {[QeM][B0]}^-1 cuulKgrmTsla *4* = [2af]^-1 = {[hB]^3}/([Me]{[Q0]^4}{[Ke]^2}) = AUN time - 3.6136553 [G0][Pi] = [2Pi]/[RK] = [4Pi][aa]/[z0] Smns=ohmm = [4Pi][H0]{[aa]^2}/[E0] = [29H]/[E0] A2prwaat=Amprvltt = [4Pi][k][aa][c] = {[i0]^2}/[Pw0] FradHrtz=metrNwtntslavltt *5* = [a0][2af]{[Ke]^-1} = [v0]/[Ke] = [conductance quantum][Pi] + 6.3399860 [v0] = [a0][He]/[hB] = {[Q0]^2}[Ke]/[hB] HrtzMetr = [Ke][2Pi]/[RK] = [G0][Ke][Pi] = [E0]/[B0] CuulfradMetrwebr = [c][aa] = [2af]/{[Jf][Pi][a0][B0]} metrtslaVltt=fradMetrohmm *5* = [a0][2af] = [a0]{2[Pi][f0]} = [Jf][Q0][Ke][Pi] = AUN velocity - 23.7005250 [p0] = [hB]/[a0] = [Me][v0] HrtzKgrmMetr *6* = [Me][a0][2af] = [Me][aa][c] = AUN momentum - 33.9769238 [hB] = [h]/[2Pi] = [PM][PL][c] hrtzJuul=HrtzKgrmM2tr = {[Q0]^2}/{[4Pi][k][v0]} = [B0][Q0]{[a0]^2} CuulM2trTsla = {[Q0]^2}[Ke]/[v0] = [Q0][w0]/[Pi] = [He]/{[4Pi][Rc][c]} = {[Q0]^2}[RK]/[2Pi] = [u0][Me]/[Q0] = [G]{[PM]^2}/[c] *7* = {[Q0]^2}[v0][d]/([4Pi]{[aa]^2}) = {[PQ]^2}[z0] = AUN action $7$ = [Me]{[a0]^2}[2af] = [PM]{[PL]^2}[Pf] = PUN action - 7.0841401 [Fe] = {[i0]^2}/({[v0]^2}[4Pi][k]) Juulmetr=Nwtn = [d]{[i0]^2}/({[aa]^2}[4Pi]) A2prfradh2tzmetr = [Ke]{[Q0]^2}/{[a0]^2} = [He]/[a0] CuulHrtzMetrTsla = [RK]{[i0]^2}/{[aa][c][2Pi]} A2prhrtzmetrOhmm = [G]{[aa]^3}{[Me]^2}/{[PL]^2} fradhnryKgrmMetr = 4{[aa]^2}{[w0]^2}/({[a0]^2}[d][Pi]) A2prfradh2tzmetr = [A0]{[aa]^2}{[H0]^2}/{[c^2][k]} hnryMetrW2br = [A0]{[aa]^2}{[B0]^2}/[d] = [Me][v0][2af] hnryM3trT2la = {[a0]^2}{[E0]^2}/[Ke] = [i0][a0][B0] CuulmetrVltt = [E0][Me][2af]/[B0] = [i0][w0]/[a0][Pi] A2prHnrymetr = {[vT0]^2}/[Ke] = [Q0][v0][B0] C2ulfradmetr = [Me][c^2]{[aa]^4}/[Re] = [Q0][E0] CuulHrtzKgrmmetrtsla = {[Me]^2}[c^3]{[aa]^3}/[hB] FradmetrV2tt=AmprMetrTsla = {[aa]^5}[G]/{[Gresky's mu sub b]^2} H2tzKgrmMetr=M2trPscl *8* = [Me][a0]{[2af]^2} = AUN force - 17.3605389 [He] = [Ke]{[Q0]^2}/[a0] = 2[Rc][h][c] Juul = {[Q0]^2}/{[4Pi][k][a0]} = {[aa]^2}[Me][c^2] *9* = [Me]{[a0]^2}{[2af]^2} = Hartree energy = AUN energy - 27.6369379 {[Q0]^2}[Ke] = [hB][v0] C2ulfradMetr=JuulMetr = {[Q0]^2}/{[4Pi][k]} = [G]{[PM]^2}[aa] M4trPscl=hnryMetrW2br = {[Q0]^2}[z0][c]/[4Pi] = [PM][PL][c^2][aa] C2ulHrtzMetrOhmm = {[Q0]^2}[c^2][d]/[4Pi] = 2[v0]{[w0]^2}/{[RK][Pi]} M2trNwtn = {[a0]^2}{[i0]^2}[d]/([4Pi]{[aa]^2}) A2prHnryMetr = {[a0]^2}[Fe] = [Me][Re][c^2] = [He][a0] HrtzMetrohmmW2br = {[v0]^2}[a0][Me] = [i0][a0]/{[Jf][Pi]} AmprhrtzMetrVltt = {[B0]^2}{[a0]^6}{[2af]^2}/[Ke] FradH2tzM5trT2la = [2][a0][13.605804 electron volts] hrtzMetrWaat=H2tzKgrmM3tr *10* = [Me]{[a0]^3}{[2af]^2} = {[AUN charge]^2}[Ke] - 37.5905793 [Q0]^2 = [G]{[PM]^2}[aa]/[Ke] C2ul=H2tzK2rmt2la = {[Me][2af]/[B0]}^2 = ([E0]{[a0]^2}/[Ke])^2 FradH2tzKgrmM2tr = 2[aa][h]/{[d][c]} = [Me][a0]{[aa]^2}[4Pi]/[d] h2ryh4tzJ2ul = [aa][PM][PL][4Pi]/[d] = [Me][Re][4Pi]/[d] hnryKgrmM2tr = [aa][PM]{[PL]^3}{[Pf]^2}/[Ke] ={4[w0][v0][k]}^2 F2adH2tzW2br = {[PX]^2}[aa] = [hB][v0][4Pi][k] = [h]/[RK] A2prKgrmMetrnwtn = {[PQ]^2}[aa][4Pi] = {[PQ]^2}[z0][2Pi]/[RK] hrtzJuulohmm = {[v0]^2}[Me][a0]/[Ke] = [c^2]{[aa]^2}[Me][a0]/[Ke] FradJuul *10* = [Me]{[a0]^3}{[2af]^2}{[Ke]^-1} = [AUN charge]^2 - 13.8184690 [Q0]{[Ke]^.5} = {[hB][v0]}^.5 Cuulf12dM12r = {[PM]^.5}{[PL]^1.5}{[Pf]^1}{[aa]^.5} HrtzK12mM32r *11* = {[Me]^.5}{[a0]^1.5}[2af] = [AUN charge]{[Ke]^.5} - 18.7952896 #[Q0] = [PQ]({[4Pi][aa]}^.5) = {[hB][v0]/[Ke]}^.5 Cuul = [4Pi][k][E0]{[a0]^2} = ([2][aa][h]/{[d][c]})^.5 hnryh2tzJuul = [Jf][h]/2 = [Me][2af]/[B0] = [PX]{[aa]^.5} FradHrtzWebr = [Jf][Pi][PM][PL][c] = ([G]{[PM]^2}[aa]/[Ke])^.5 HrtzKgrmtsla = [Jf][Pi][hB] = [PQ]({[z0][2Pi]/[RK]}^.5) F12dHrtzK12mMetr = 4[w0][v0][k] = {[PM]^.5}{[PL]^1.5}{[Pf]^1}{[aa]^.5}/{[Ke]^.5} *11* = {[Me]^.5}{[a0]^1.5}[2af]{[Ke]^-.5} = AUN charge - 2.1789047 [i0] = [Q0][He]/[hB] Ampr = [PM][2af]({[G][aa]}^.5)/{[Ke]^.5} F12dH2tzK12mMetr *12* = {[Me]^.5}{[a0]^1.5}{[2af]^2}{[Ke]^-.5} = AUN current + 2.7979159 [i0]{[Ke]^.5} Amprf12dM12r = {[Q0][He]/[hB]}{[Ke]^.5} H2tzK12mM32r *12* = {[Me]^.5}{[a0]^1.5}{[2af]^2} = [AUN current]{[Ke]^.5} + 1.4347507 [vT0] = [Q0][Ke]/[a0] Vltt=f12dHrtzK12mMetr = [He]/[Q0] = {[Fe]^.5}{[Ke]^.5} cuulJuul=f12dM12rN12n *13* = {[Me]^.5}{[a0]^.5}[2af]{[Ke]^.5} = AUN electric potential - 3.5420701 [vT0]/{[Ke]^.5}={[Fe]^.5} cuulF12dJuulm12r=F12dm12rVltt = [He]/([Q0]{[Ke]^.5}) = [Q0]{[Ke]^.5}/[a0] N12n=HrtzK12mM12r *13* = {[Me]^.5}{[a0]^.5}[2af] = [AUN electric potential]/{[Ke]^.5} + 6.7343288 [He]/({[Q0][a0]}{[Ke]^.5}) F12dm32rVltt=HrtzK12mm12r *14* = {[Me]^.5}{[a0]^-.5}[2af] = [AUN electric field]/{[Ke]^.5} + 11.7111495 [E0] = [Q0][Ke]/{[a0]^2} = [B0][v0] cuulNwtn=metrVltt = [Fe]/[Q0] = [29H][Ke]/{[v0] f12dHrtzK12m *14* = {[Me]^.5}{[a0]^-.5}[2af]{[Ke]^.5} = AUN electric field + 12.0339070 [QD0] = [Q0]/{[a0]^3} F12dHrtzK12mm2tr=Cuulm3tr = [B0][2af]/[Ke] = [Eg0]/[Ke] FradHrtzmetrTsla *15* = {[Me]^.5}{[a0]^-1.5}[2af]{[Ke]^-.5} = AUN charge density + 17.0107277 [He]/([Q0]{[a0]^2}{[Ke]^.5}) cuulF12dJuulm52r = [B0][2af]/{[Ke]^.5} = [QD0]{[Ke]^.5} F12dHrtzm12rTsla = ([Q0]/{[a0]^3}){[Ke]^.5} F12dm52rVltt=HrtzK12mm32r = [Eg0]/{[Ke]^.5} = [AUN electric field gradient]/{[Ke]^.5} *15* = {[Me]^.5}{[a0]^-1.5}[2af] = [AUN charge density]{[Ke]^.5} + 21.9875484 [Eg0] = [He]/([Q0]{[a0]^2}) m2trVltt=cuulJuulm2tr = [B0][2af] = [2af][w0]/([Pi]{[a0]^2}) HrtzTsla=Cuulfradm2tr = [Ke][Q0]/{[a0]^3} = [QD0][Ke] Hrtzm2trWebr=f12dHrtzK12mmetr *15* = {[Me]^.5}{[a0]^-1.5}[2af]{[Ke]^.5} = AUN elec. field gradient - 24.0948678 [q0]{[Ke]^.5} = [He]/[E0]{[Ke]^.5} HrtzK12mM52r = [Q0][a0]{[Ke]^.5} Cuulf12dM32r=f12dJuulM32rvltt *16* ={[Me]^.5}{[a0]^2.5}[2af]=[AUN electric dipole moment]{[Ke]^.5} - 29.0716884 [q0] = [Q0][a0] = [He]/[E0] CuulMetr=JuulMetrvltt = [18P][E0] = [19H]{[E0]^2} = [20H]{[E0]^3} F12dHrtzK12mM2tr *16* ={[Me]^.5}{[a0]^2.5}[2af]{[Ke]^-.5} =AUN electric dipole moment - 34.3712667 [qD0]{[Ke]^.5} = [vT0]{[a0]^3]/{[Ke]^.5} Cuulf12dM52r = [Q0]{[a0]^2}{[Ke]^.5} = {[Ke]^.5}[hB]/[B0] HrtzK12mM72r *17* ={[Me]^.5}{[a0]^3.5}[2af]=[AUN elec quadrupole moment]{[Ke]^.5} - 39.3480873 [qD0] = [Q0]{[a0]^2} =[hB]/[B0] CuulM2tr=hrtzJuultsla = [Me][vT0]/{[B0]^2} =[He]/[Ego] F12dHrtzK12mM3tr=Kgrmt2laVltt *17* = {[Me]^.5}{[a0]^3.5}[2af]{[Ke]^-.5}=AUN elec quadrupole moment - 30.8291966 [Ke]({[Q0]^2}{[a0]^2}/[He]) C2ulfradjuulM3tr=M3tr = [Ke][Q0]/{[B0][2af]} = [Ke][He]/{[E0]^2} CuulfradhrtzMetrtsla *18* = [a0]^3 = [Ke][Me]/{[B0]^2} =[AUN electric polarizability][Ke] - 40.7828380 [18P] = ({[Q0][a0]}^2)/[He] = [q0]/[E0] C2uljuulM2tr = [Q0]/{[B0][2af]} = [He]/{[E0]^2} Cuulhrtztsla=JuulM2trv2tt = [Me]/{[B0]^2} = [19H][E0] = [20H]{[E0]^2} FradM2tr=Kgrmt2la *18* = {[a0]^3}{[Ke]^-1} = AUN electric polarizability - 37.5635254 [({[Q0][a0]}^3)/{[He]^2}]{[Ke]^1.5} C3ulf32dj2ulM92r = [{[a0]^7}/({[2af]^2}[Me])]^.5 hrtzk12mM72r = [AUN 1st hyperpolarizability]{[Ke]^1.5} *19* = {[Me]^-.5}{[a0]^3.5}{[2af]^-1} - 52.4939875 [19H] = ({[Q0][a0]}^3)/{[He]^2} C3ulj2ulM3tr = [q0]/{[E0]^2} = [He]/{[E0]^3} F32dhrtzk12mM2tr = [18P]/[E0] = [20H][E0] = AUN 1st hyperpolarizability *19* = {[Me]^-.5}{[a0]^3.5}{[2af]^-1}{[Ke]^-1.5} - 44.2978542 [({[Q0][a0]}^4)/{[He]^3}]{[Ke]^2} h2tzkgrmM4tr = ([He]/{[E0]^4}){[Ke]^2} = [AUN 2nd hyperpolarizability][Ke]^2 *20* = {[Me]^-1}{[a0]^4}{[2af]^-2} - 64.2051371 [20H] = [19]/[E0]= [18P]/{[E0]^2} C4ulj3ulM4tr = [q0]/{[E0]^3} = [He]/{[E0]^4} JuulM3trv3tt = ({[Q0][a0]}^4)/{[He]^3} = AUN 2nd hyperpolarizability *20* = {[Me]^-1}{[a0]^4}{[2af]^-2}{[Ke]^-2} + 0.3943428 [B0]/{[Ke]^.5} cuulF12dHrtzKgrmm12r = [hB]/([Q0]{[a0]^2}{[Ke]^.5}) K12mm32r=F12dm12rTsla *21* = {[Me]^.5}{[a0]^-1.5} = [AUN magnetic flux density]/{[Ke]^.5} + 5.3711635 [B0] = [hB]/([Q0]{[a0]^2}) cuulHrtzKgrm=Tsla = [i0][d]/{[4Pi][Re]} AmprHnrym2tr=f12dK12mmetr *21* = {[Me]^.5}{[a0]^-1.5}{[Ke]^.5} = AUN magnetic flux density - 17.7548818 [u0]{[Ke]^.5} = {[Ke]^.5}{[Q0][hB]/[Me]} H2tzK12mM72r = {[Ke]^.5}[2][Bm] = {[Ke]^.5}[He]{[a0]^2}[Jf][Pi] AmprF12dM32r = {[Ke]^.5}[He]/[B0] = {[Ke]^.5}[Q0][v0][a0] f12dJuulM12rtsla = {[Ke]^.5}[i0]{[a0]^2} = [AUN magnetic dipole moment]{[Ke]^.5} *22* = {[Me]^.5}{[a0]^3.5}{[2af]^2} - 22.7317024 [u0] = 2[Bm] = [Q0][hB]/[Me] AmprM2tr=Juultsla = [He]/[B0] = [He][Jf]{[a0]^2}[Pi] F12dH2tzK12mM3tr = [Q0][v0][a0] = [i0]{[a0]^2} = AUN magnetic dipole moment *22* = {[Me]^.5}{[a0]^3.5}{[2af]^2}{[Ke]^-.5} - 18.1492245 {[Q0]^2}{[a0]^2}[Ke]/[Me] C2ulfradkgrmM3tr = [He][Ke]/{[B0]^2} = {[v0]^2}{[a0]^3} fradJuulMetrt2la = {[a0]^3}[4Pi]{[aa]^2}[Ke]/[d] H2tzM5tr=fradhnryM5tr *23* = {[a0]^5}{[2af]^2} = [AUN magnetizability][Ke] - 28.1028659 [23M] = {[Q0]^2}{[a0]^2}/[Me] =[He]/{[B0]^2} Juult2la = [PM]{[PL]^2}[hB][a0][Pf]/([Ke]{[Me]^2}) C2ulkgrmM2tr = [hB][v0]{[a0]^2}/{[Ke][Me]} FradH2tzM4tr = {[v0]^2}{[a0]^3}/[Ke] = {[a0]^3}[4Pi]{[aa]^2}/[d] hnryM4tr *23* = {[a0]^5}{[2af]^2}{[Ke]^-1} = AUN magnetizability + 11.2452214 [QeM] = [Q0]/[Me] = [Gye]/{[ue]/[Bm]} Cuulkgrm = {2[Bm]/[hB]} = [2af]/[B0] = [Eg0]/{[B0]^2} Hrtztsla = {([G]{[Fe]/[Fg]}{[Mp]/[Me]})^.5}/{[Ke]^.5} m2trt2laVltt = [electron gyromagnetic ratio]/{[ue]/[Bm]} F12dHrtzk12mMetr *24* = {[Me]^-.5}{[a0]^1.5}[2af]{[Ke]^-.5} = [AUN charge]/[AUN mass] + 16.2220422 [QeM]{[Ke]^.5} = {[Ke]^.5}[2af]/[B0] Cuulf12dkgrmM12r = {[Ke]^.5}[Gye]/{[ue]/[Bm]} f12dHrtzM12rtsla = {[Ke]^.5}[Eg0]/{[B0]^2} f12dm32rt2laVltt = {[Ke]^.5}{2[Bm]/[hB]} kgrmMetrN12n = ([G]{[Fe]/[Fg]}{[Mp]/[Me]})^.5 Hrtzk12mM32r = {[Ke]^.5}[electron gyromagnetic ratio]/{[ue]/[Bm]} *24* = {[Me]^-.5}{[a0]^1.5}[2af] = {[Ke]^.5}[AUN charge]/[AUN mass] - 15.1816343 [w0]/[Pi] = [hB]/[Q0] Webr=f12dK12mMetr=cuulhrtzJuul = 1/{[Jf][Pi]} = [B0]{[a0]^2} = [He]/[i0] M2trTsla=hrtzVltt = [Q0][RK]/[2Pi] = [vT0]/[2af] AmprHnry=CuulOhmm=amprJuul *25* = {[Me]^.5}{[a0]^.5}{[Ke]^.5} = [magnetic flux quantum]/[Pi] - 20.1584550 [w0]/([Pi]{[Ke]^.5}) = [He]/([i0]{[Ke]^.5}) K12mM12r = [B0]{[a0]^2}/{[Ke]^.5} = [hB]/([Q0]{[Ke]^.5}) F12dm12rWebr = 1/([Jf][Pi]{[Ke]^.5}) = [Q0][RK]/([2Pi]{[Ke]^.5}) *25* = {[Me]^.5}{[a0]^.5} = [magnetic flux quantum]/([Pi]{[Ke]^.5}) - 2.7263307 [d]/([4Pi]{[aa]^2}) = [Ke]/{[v0]^2} a2prNwtn = [d][RK]/{[2Pi][z0][aa]} = [Pf][Ke][Me]/{[PE][2af]} Hnrymetr = [PL][Ke]/([G][PM]{[aa]^2}) = [Ke][Me]/[He] fradh2tzmetr = [B0][RK]/{[2Pi][a0][Eg0]} = [a0][Me]/{[Q0]^2} c2ulKgrmMetr = [B0][a0]/[i0] = 1/([c^2]{[aa]^2}{[4Pi][k]}) MetrOhmmTslavltt = [B0][w0]/{[Fe][Pi]} = [PL][PM]/([aa]{[Q0]^2}) *26* = {[a0]^-2}{[2af]^-2}[Ke] = [Fe]/{[i0]^2} = AUN permeability - 12.6799720 [v0]^-2 = [c^-2]{[aa]^-2} FradHnrym2tr=h2tzm2tr = [d]/([4Pi]{[aa]^2}[Ke]) = [Me]/[He] juulKgrm=HrtzKgrmwaat = {[Q0]^2}{[a0]^2/{[u0]^2} = ([Q0]/{[i0][a0]})^2 *26* = {[a0]^-2}{[2af]^-2} = [k][d]/{[aa]^2} = [AUN velocity]^-2 - 3.9364128 [cQ]/[Pi] = {[a0]^2}[2Pi][f0] = [a0][v0] HrtzM2tr = [A0][2af]/[4Pi] = [aa]({[A0]/[d]}^.5){[Ke]^.5} = [u0]/[Q0] = [hB]/[Me] = [He]/{[2af][Me]} *27* = {[a0]^2}[2af] = [quantum of circulation]/[Pi] - 0.7441541 [Pw0] = [4Pi][Rc][hB][c][2af] =[He][2af] HnryTslaVltt = [B0][E0][4Pi]{[aa]^2}{[a0]^2}/[d] = {[i0]^2}[RK]/[2Pi] Waat *28* = [Me]{[a0]^2}{[2af]^3} = AUN power + 8.0974941 [29H] = [H0][4Pi]{[aa]^2} Amprmetr=FradH2tzMetrTsla = [4Pi]{[aa]^2}{[B0]/[d]} = [Fe]/([B0]{[a0]^2}) hnryMetrTsla = [2Pi][a0][Eg0]/[RK] = [Fe][Jf][Pi] metrohmmVltt = [B0]{[v0]^2}/[Ke] = [B0]{[aa]^2}/{[d][k][Ke]} m2trNwtntsla = [i0]/[a0] = [AUN magnetic field strength][4Pi]{[aa]^2} *29* = {[Me]^.5}{[a0]^.5}{[2af]^2}{[Ke]^-.5} + 13.0743148 [H0][4Pi]{[aa]^2}{[Ke]^.5} Amprf12dm12r=H2tzK12mM12r = {[Ke]^.5}[4Pi]{[aa]^2}{[B0]/[d]} = [B0]{[v0]^2}/{[Ke]^.5} = {[Ke]^.5}[Fe]/([B0]{[a0]^2}) = {[Ke]^.5}[2Pi][a0][Eg0]/[RK] = [B0]{[aa]^2}/([d][k]{[Ke]^.5}) = [B0]{[v0]^2}/{[Ke]^.5} = [29H]{[Ke]^.5} = {[Ke]^.5}[i0]/[a0] = {[Ke]^.5}[Fe][Jf][Pi] = [AUN magnetic field strength][4Pi]{[aa]^2}{[Ke]^.5} *29* = {[Me]^.5}{[a0]^.5}{[2af]^2} + 13.4686576 {[E0]^2}/[Ke] = {[v0]^2}[Me]/{[a0]^3} Juulm3tr = ({[v0][B0]}^2)/[Ke] = [vT0][Q0]/{[a0]^3} m2trNwtn = {[He]^2}/{[Ke]({[a0][Q0]}^2)} = [He]/{[a0]^3} = [B0][29H] = [Ke]{([H0][4Pi]{[aa]^2})^2}/{[v0]^2} = [i0][B0]/[a0] *30* = [Me]{[a0]^-1}{[2af]^2} = [Fe]/{[a0]^2} = [AUN energy density] + 23.4222990 [E0]^2 ={[He]^2}/({[Q0][a0]}^2) m2trV2tt=fradJuulm2tr = {[Fe]/[Q0]}^2 = ({[Q0][Ke]}/{[a0]^2})^2 = {[B0][v0]}^2 = ([Ke][H0][4Pi]{[aa]^2})^2/{[v0]^2} = [Ke][He]/{[a0]^3} = ([Ke][AUN magnetic field strength][4Pi]{[aa]^2})^2/{[v0]^2} *30* = [Me]{[a0]^-1}{[2af]^2}[Ke] = [AUN electric field]^2 + 22.4904426 [QeM]^2 = {[Gye]^2}/({[ue]/[Bm]}^2) FradH2tzkgrmM2tr = {[Q0]/[Me]}^2 = [G]{[Fe]/[Fg]}{[Mp]/[Me]}/[Ke] H2tzt2la = {2[Bm]/[hB]}^2 = {[a0]^2}[Fe]/({[Me]^2}[Ke]) m4trt4laV2tt = ([Eg0]/{[B0]^2})^2 = [Jf][Pi]{[v0]^2}/[B0] hnrykgrmM2tr = {[2af]/[B0]}^2 = [H0][4Pi]{[aa]^2}[a0]/{[B0][Me]} C2ulk2rm = [AUN gravitational constant][AUN permittivity] = {[AUN length]/[AUN mass]}/[AUN permeability] = {[v0]^2}{[a0]/[Me]}/[Ke] = {[AUN charge]/[AUN mass]}^2 *31* = {[Me]^-1}{[a0]^3}{[2af]^2}{[Ke]^-1} + 32.4440843 [Ke]{[QeM]^2} = {[a0]^3}{[2af]^2}/[Me] H2tzkgrmM3tr = [Ke]{[Q0]^2}/{[Me]^2} = [G][Fe][Mp]/{[Me][Fg]} k2rmM2trNwtn = [aa]{[PQ]^2}/({[Me]^2}[k]) = [c^2][Re]/[Me] C2ulfradk2rmMetr = [Ke]{[Gye][Bm]/[ue]}^2 = [hB][v0]/{[Me]^2} fradH2tzMetrt2la = 4[Ke]{[Bm]/[hB]}^2 = [aa][G]{[PM]^2}/{[Me]^2} = [Ke]{[Eg0]^2}/{[B0]^4} = {[aa]^2}[G][a0][PM]/{[Me][PL]} = [Ke]{[2af]^2}/{[B0]}^2 = {[aa]^3}[G][Pf][PM]/{[Me][2af]} = [B0]{[2af]^2}{[a0]^4.5}/({[Ke]^.5}{[Me]^1.5}) = 1/[Gresky's dielectric constant of free space] B575 p 29 = [c^2][Gresky's electronic constant of magnetic permeability] = {[electron gyromagnetic ratio]^2}[Ke]/({[ue]/[Bm]}^2) = [AUN Kepler ratio]/[AUN mass] *31* = {[Me]^-1}{[a0]^3}{[2af]^2} = AUN gravitational constant - 30.3632686 ({[w0]}^2)/{[Pi]^2} = {[hB]/[Q0]}^2 W2br=c2ulh2tzJ2ul = (1/{[Jf][Pi]})^2 = {[B0]^2}{[a0^4} fradKgrmM2tr=h2tzV2tt = {[Q0][RK]/[2Pi]}^2 = {[He]/[i0]}^2 A2prH2ry=HnryH2tzKgrmM2tr = [Ke][PM][PL]/[aa] = {[vT0]/[2af]}^2 hrtzJuulOhmm=M4trT2la = {[PL]^3}[PM]{[Pf]^2}[d]/{[4Pi][aa]} C2ulO2mm=a2prJ2ul *32* = [Me][a0][Ke] = {[magnetic flux quantum]/[Pi]}^2 - 40.3169100 {[w0]^2}/({[Pi]^2}[Ke]) = [PM][PL]/[aa] FradmetrW2br = [hB][RK]/{[2Pi][Ke]} = {[hB]^2}/({[Q0]^2}[Ke]) C2ulHnrymetr = {[Q0]^2}[d]/([4Pi]{[aa]^2}) c2ulFradhrtzJuulmetr = {[PQ]^2}[d]/[aa] =[Rp][Mp]/{[2Pi][aa]} FradmetrOhmm=KgrmMetr *32* = [Me][a0] = {[magnetic flux quantum]^2}/({[Pi]^2}[Ke]) + 0.7886856 {[B0]^2}/[Ke] =({[Me][2af]/[Q0]}^2)/[Ke] FradmetrT2la = {[Q0]^2}[Ke]/({[a0]^6}{[2af]^2}) C2ulfradh2tzm6tr=Kgrmm3tr *33* = [Me]{[a0]^-3} = {[AUN magnetic flux density]^2}/[Ke] + 10.7423269 [B0]^2 = {[hB]/([Q0]{[a0]^2})}^2 = [Eg0]/[QeM] T2la = {[Me][2af]/[Q0]}^2 = [Me]/[18P] c2ulH2tzK2rm=fradKgrmm2tr *33* = [Me]{[a0]^-3}[Ke] = [AUN magnetic flux density]^2 + 15.1816343 [Jf][Pi] = [Q0]/[hB] CuulHrtzjuul=m2rtsla=cuulohmm = [Pi]/[w0] = 1/([B0]{[a0]^2}) = [i0]/[He] webr=F12dk12mmetr = [2Pi]/{[Q0][RK]} = [2af]/[vT0] Hrtzvltt=amprhnry=Amprjuul *34* = {[Me]^-.5}{[a0]^-.5}{[Ke]^-.5} = [Josephson constant][Pi] + 20.1584550 [Jf][Pi]{[Ke]^.5} = {2[Q0]/[h]}[Pi]{[Ke]^.5} k12mm12r *34* = ({[Me]^-.5}{[a0]^-.5}) = [Josephson constant][Pi]{[Ke]^.5} + 3.6136553 [RK]/[2Pi] = [Pw0]/{[i0]^2} = [z0]/{[4Pi][aa]} Ohmm = [E0]/([H0][4Pi]{[aa]^2}) = [E0]/[29H] a2prWaat=amprVltt = 1/{[4Pi][k][aa][c]} = 1/{[G0][Pi]} fradhrtz=MetrnwtnTslaVltt *35* = {[a0]^-1}{[2af]^-1}[Ke] = [von Klitzing constant]/[2Pi] - 6.3399860 1/[v0] = [RK]/{[Ke][2Pi]} hrtzmetr=FradmetrOhmm = ({[d]/[k]}^.5)/{[4Pi][aa][Ke]} c2ulFradhrtzJuulmetr = [z0]/{[Ke][4Pi][aa]} = 1/{[Ke][Pi][Jf][Q0]} cuulFradmetrWebr = [w0]/{[Ke][Pi][Q0]} = 1/{[Ke][Pi][G0]} amprFradmetrVltt = [hB]/([Ke]{[Q0]^2}) = [d][c]/{[Ke][4Pi][aa]} F12dH12ymetr *35* = {[a0]^-1}{[2af]^-1} = [von Klitzing constant]/{[2Pi][Ke]} + 2.7263307 [36d] = [4Pi]{[aa]^2}/[d] = [He]/{[Ke][Me]} hnryMetr = {[v0]^2}/[Ke] = {[v0]^2}[4Pi][k] = [i0]/{[a0][B0]} A2prnwtn = {[i0]^2}/[Fe] = [a0][Eg0][2Pi]/{[RK][B0]} = {[Q0]^2}/{[Me][a0]} = [z0][aa][2Pi]/{[RK][d]} = {[Q0]^2}[aa]/{[PM][PL]} = [Fe][Pi]/{[w0][B0]} = {[aa]^2}[G][PM]/{[Ke][PL]} = [PE][2af]/{[Ke][Me][Pf]} *36* = {[a0]^2}{[2af]^2}{[Ke]^-1} = 1/[AUN permeability] + 12.6799720 [v0]^2 = [c^2]{[aa]^2} = {[aa]^2}/{[d][k]} H2tzM2tr = [Ke]{[Q0]^2}[aa]/{[PM][PL]} = [PE][2af]/{[Me][Pf]} Juulkgrm = [Ke]{[Q0]^2}/{[Me][a0]} = [Ke][Pi][Fe]/[B0][w0] C2ulfradkgrm = [Ke][2Pi][z0][aa]/[d][RK] = [Ke][i0]/{[B0][a0]} fradhnryM2tr = [Ke][2Pi][a0][Eg0]/[B0][RK] = [He]/[Me] hrtzkgrmWaat = [Ke]{[i0]^2}/[Fe] = [G][PM]{[aa]^2}/[PL] A2prfradMetrnwtn *36* = {[a0]^2}{[2af]^2} = [Ke][4Pi]{[aa]^2}/[d] = [AUN velocity]^2 + 22.9563709 [ae] = [Fe]/[Me] = [Ke]/[I0] fradhnryMetr=H2tzMetr *37* = [a0]{[2af]^2} = {[v0]^2}/[a0] = AUN acceleration + 30.3632686 {[Jf][Pi]}^2 ={[Q0]/[hB]}^2 H2tzv2tt=m4rt2la=c2ulo2mm = {[Pi]/[w0]}^2 = [1/([B0]{[a0]^2})]^2 a2prh2ry=A2prj2ul = ([2Pi]/{[Q0][RK]})^2 = [aa]/{[Ke][PM][PL]} w2br=C2ulH2tzj2ul = [4Pi][aa]/({[PL]^3}[PM]{[Pf]^2}[d]) hnryh2tzkgrmm2tr = {[i0]/[He]}^2 = {[2af]/[vT0]}^2 Fradkgrmm2tr=Hrtzjuulohmm *38* = {[Me]^-1}{[a0]^-1}{[Ke]^-1} = {[Josephson constant][Pi]}^2 + 40.3169100 [4Pi]{[aa]^2}/({[Q0]^2}[d]) fradMetrohmm=kgrmmetr = {[Pi]^2}[Ke]/{[w0]^2} = [2Pi][aa]/{[Rp][Mp]} fradMetrW2br = {[Q0]^2}[Ke]/{[hB]^2} = [aa]/({[PQ]^2}[d]) c2ulhnryMetr *38* = {[Me]^-1}{[a0]^-1} = ({[Josephson constant][Pi]}^2){[Ke] - 13.0027295 #[I0] = {[a0]^2}[Me]/{[Q0]^2} Hnry=c2uulKgrmM2tr = {[v0]^2}[Me]/{[i0]^2} = [Ke][a0][Me]/[He] fradjuulKgrmM2tr *39* = {[a0]^-1}{[2af]^-2}[Ke] = [Ke][a0]/{[v0]^2} = AUN inductance - 22.9563709 [I0]/[Ke] = {[a0]^2}[Me]/({[Q0]^2}[Ke]) FradHnrymetr = [He]/({[i0]^2]}[Ke]) = [a0][Me]/[He] juulKgrmMetr *39* = {[a0]^-1}{[2af]^-2} = 1/[ae] = [AUN inductance]/[Ke] + 35.1704149 {[QeM]^2}{[v0]^2} [[C2ulH2tzk2rmM2tr]] = [c^4]{[aa]^4}[a0]/{[Ke][Me]} FradH4tzkgrmM4tr = {[v0]^4}[a0][4Pi][k]/[Me] = {[v0]^6}/{[Fe][Ke]} H4tzM2trt2la = ({[a0]^2}{[i0]}^2)/{[Me]^2} = {[ae]^2}/{[B0]^2} A2prk2rmM2tr *40* = {[Me]^-1}{[a0]^5}{[2af]^4}{[Ke]^-1} = AUN the Whole Vector + 45.1240562 [Ke]{[ae]/[B0]}^2 = {[v0]^4}[a0]/[Me] H4tzkgrmM5tr = [Ke]{[a0][i0]/[Me]}^2 = {[v0]^6}/[Fe] C2ulfradH2tzk2rmM3tr *40* = {[Me]^-1}{[a0]^5}{[2af]^4} = {[QeM]^2}{[v0]^2}[Ke] ---------------------------------++---------------------------------