It is questioned why the fundamental physical constants are not fundamentally expressed mathematically. The scheme employed here is to express all the physical constants as the factor of 2 times 3 times pi. Pi is restricted to integer exponents, while both
the 2 and the 3 may be either integer or 1/2 integer exponents.
That value is then converted to a value from 1.00000 to 9.999999 times 10 to the n.
In this manner, all values can be contained
and compared as to their significant digits. So, in essence here, equality refers to having equal significant digits regardless
whether or not there is equality of the 10 to the E values ( as shown below ).
All physical constants have been assigned values in the form of
2 j 3 k pi n where,
j must be an integer or a half integer
k must be an integer or a half integer
n must be integer
Constant name
2
3
π
decimal
units
E
NIST decimal
sugg - NIST
1
p
1st rad spctral rad
-3
1
-1
1.19366207318922
W m^2 sr^-1
-16
1.191042722
0.00261935
2
p
2nd radiation constant
-1
2
-1
1.43239448782706
m K
-2
1.4387752
-0.00638071
3
a u 1st hyperpolarizability
-4
3
-2
3.20637457540464
C^3 m^3 J^-2
-53
3.206364574
0.00001000
4
a u 2nd hyperpolarizability
-5
5
-3
6.23538290724797
C^4 m^4 J^-3
-65
6.23538112
0.00000179
5
p
a u charge
-1
0
-1
1.59154943091896
C
-19
1.602176462
-0.01062703
6
p
a u charge density
2
3
2
1.06591727531765
C m^-3
12
1.081202285
-0.01528501
7
p
a u current
3.5
-0.5
0
6.53197264742182
A
-3
6.62361753
-0.09164488
8
p
a u dipole moment
-2
-1
-2
8.44343197019481
C m
-30
8.47835267
-0.03492070
9
p
a u elec field
1.5
-0.5
1
5.13019932064746
V m^-1
11
5.14220624
-0.01200692
10
p
a u elec field gradient
2.5
0.5
2
9.67019789831849
V m^-2
21
9.71736153
-0.04716363
11
p
a u elec potential
0.5
-1.5
0
2.72165526975909
V
1
2.7113834
0.01027187
12
p
a u force
0.5
-0.5
0
8.16496580927728
N
-8
8.23872181
-0.07375600
13
p
a u magn dipol moment
-6
-3
-1
1.84207110060064
J T^-1
-23
1.854801799
-0.01273070
14
p
a u magn flux density
-2
1
1
2.35619449019234
T
5
2.350517349
0.00567714
15
p
a u magnetizabilty
-4
-4
-2
7.81799256499520
J T^-2
-29
7.89103641
-0.07304385
16
p
a u momentum
-4
0
-1
1.98943678864869
kg m s^-1
-24
1.99285151
-0.00341472
17
p
a u permitivity
-0.5
2.5
0
1.10227038425243
F m^-1
-10
1.112650056
-0.01037967
18
p
a u polarization
-3.5
-0.5
-3
1.64582922464563
C^2 m^2 J^-1
-41
1.648777251
-0.00294803
19
p
a u quadrop moment
-3
-2
-3
4.47937978238033
C m^2
-40
4.486551
-0.00717122
20
p
a u time
-4.5
0.5
-1
2.43655250385524
s
-17
2.418884327
0.01766818
21
p
a u velocity
3.5
-1.5
0
2.17732421580727
m s^-1
6
2.187691253
-0.01036704
22
p
absolute zero
-1.5
5
-1
2.73471081032720
K
0
2.7515
-0.01678919
23
p
alpha particle mass
-2.5
-3
-2
6.63378666956891
kg
-27
6.64465598
-0.01086931
24
p
amu
0
1.5
-1
1.65398668626538
kg
-27
1.66053873
-0.00655204
25
p
Angstrom star
0.5
-1
-1
1.50052719359518
m
-10
1.5101
-0.00957281
26
p
astronomical unit
-2.5
3
1
1.49947299162844
km
8
1.496
0.00347299
27
p
Avagadro
0
-1.5
1
6.04599788078071
mol^-1
23
6.02214199
0.02385589
28
p
Bohr magneton
-0.5
-5
-1
9.26251354071094
J T^-1
-24
9.27400899
-0.01149545
29
p
Bohr radius
-1
-1
-1
5.30516476972985
m
11
5.291772083
0.01339269
30
p
Boltzmann
-0.5
-1.5
-2
1.37880666699198
J K^-1
-23
1.3806503
-0.00184363
31
p
char imp vacuum
2
1
1
3.76991118430775
ohm
2
3.767303135
0.00260805
32
p
classical elect radius
-2
-2
-2
2.81447732339827
m
-15
2.817940285
-0.00346296
33
p
Compton / 2 pi
-0.5
0.5
1
3.84764949048558
m
-13
3.86159642
-0.01394693
34
p
Compton wavelngth
1.5
3
-1
2.43085405362420
m
-12
2.426310215
0.00454384
35
p
conductance quantum
3
1
1
7.53982236861550
S
-5
7.748091696
-0.20826933
36
p
Cu x unit
2
1.5
0
2.07846096908266
m
-13
2.07732
0.00114097
37
p
density sound dry air
-1.5
-3
2
1.29238225919238
kg m^-3
0
1.293
-0.00061774
38
p
deuteron magnetic moment
-2
0.5
0
4.33012701892220
J T^-1
27
4.33073457
-0.00060755
39
p
deuteron mass
3.5
1
2
3.34985481582667
kg
-27
3.34358309
0.00627173
40
deuteron molar mass
3.5
-0.5
3
2.05207972825898
kg mol^-1
-3
2.013553212
0.03852652
41
p
electron g factor
-0.5
-1
-2
2.27972663195260
0
2.31830438
-0.03857775
42
p
electron g factor x ½
-1.5
-1
2
1.13986331597630
0
1.15915219
-0.01928887
43
p
electron gyro ratio
2.5
-2.5
-1
1.15510637219804
s^-1 T^-1
11
1.159652187
-0.00454581
44
p
electron mag moment anom
1.5
-5
2
1.14878423039324
-3
1.159652187
-0.01086796
45
p
electron magnetic moment
1.5
-1
2
9.30515226618521
J T^-1
-24
9.28763626
0.01751601
46
p
electron mass (kg)
0
2
-2
9.11890652781040
kg
-31
9.10938188
0.00952465
47
electron molar mass
0
0.5
-3
5.51328895421791
kg mol^-1
-7
5.48579911
0.02748984
48
elementary charge csu
4
1
0
4.80000000000000
csu
-19
4.803204197
-0.00320420
49
p
Faraday constant
2.5
0.5
2
9.67019789831849
C mol^-1
4
9.64853415
0.02166375
50
p
Fermi coupling
0
-3
1
1.16355283466289
GeV^-2
-5
1.16639
-0.00283717
51
p
fine structure
3
2
-2
7.29512522224832
-3
7.297352533
-0.00222731
52
p
first radiation
-3
1
0
3.75000000000000
W m^2
-16
3.74177107
-0.05822893
53
p
Hartree energy
-0.5
-1.5
-1
4.33164889574263
J
-18
4.334974351
-0.00332546
54
p
heliocentric gravitation
-2
-3
-1
2.94731376096103
m^3 s^-2
20
2.947
0.00031376
55
p
helion mass
0.5
-2
-1
5.00175731198395
kg
-27
5.00641174
-0.00465443
56
p
Hydrogen infinity
2
1
-2
1.21585420370805
nm
3
1.2156737
0.00018050
57
p
inv perm vacuum
2
2
1
1.13097335529232
F^-1 m
12
1.129409067
0.00156429
58
p
inverse fine structure
-3
-2
2
1.37077838904019
2
1.370359976
0.00041841
59
p
ion conversion
-0.5
0.5
-2
1.24092600029278
eV cm
4
1.23984244
0.00108356
60
p
Josephson
4
1
0
4.80000000000000
Hz V^-1
11
4.83597898
-0.03597898
61
p
lattice parameter of Si
1.5
-1.5
0
5.44331053951819
m
-10
5.43210288
0.01120766
62
p
lattice spacing of Si
0
-1.5
0
1.92450089729875
m^-3
25
1.760859794
0.16364110
63
p
light
0
1
0
3.00000000000000
m s^-1
8
2.99792458
0.00207542
64
p
light squared
0
2
0
9.00000000000000
m^2 s^-2
8
8.987551787
0.01244821
65
p
Loschmidt constant
0.5
-1.5
2
2.68616608286624
0
2.6867775
-0.00061142
66
p
Lyman alpha
-3
4
-2
1.02587698437867
nm
3
1.02583
0.00004698
67
p
Lyman beta
5
1
-2
9.72683362966443
nm
3
9.7254
0.00143363
68
p
Lyman gamma
-5
1
-2
9.49886096646916
nm
3
9.49743
0.00143097
69
p
magnetic flux quantum
-4
-1
0
2.08333333333333
Wb
-15
2.067833636
0.01549970
70
p
Mo x unit
1
-1
1
2.09439510239319
m
-13
2.09959
-0.00519490
71
p
molar gas
4
1.5
0
8.31384387633062
J mol^-1 K^-1
0
8.314472
-0.00062812
72
p
molar Planck constant
-8
0
-2
3.95785873602882
J s mol^-1
-10
3.990312689
-0.03245395
73
p
molar volume - ideal gas
-4
-2
-3
2.23968989119016
m^3 mol^-1
-2
2.2413996
-0.00170971
74
p
molar volume of Si
-2.5
-3.5
-1
1.20323580437295
m^3 mol^-1
-7
1.20588369
-0.00264789
75
p
muon Compton wavelength
-0.5
1.5
-1
1.16954520185051
m
-14
1.173444197
-0.00389900
76
p
muon g factor
1
-0.5
0
1.15470053837925
0
1.16616
-0.01145946
77
p
muon mag moment anomaly
-3
1
3
1.16273537551345
-3
1.16591602
-0.00318064
78
p
muon mass
1
1
1
1.88495559215387
kg
-28
1.88353109
0.00142450
79
p
muon molar mass
-2.5
-2.5
0
1.13402302906628
kg mol^-1
-4
1.134289168
-0.00026614
80
p
n u energy
0
4
-2
8.20701587502936
J
-14
8.18710414
0.01991174
81
p
n. u. time
-5
-5
0
1.28600823045267
s
-21
1.288088656
-0.00208043
82
p
neutron Compton wave
-3
-1
-1
1.32629119243246
m
-15
1.319590895
0.00670030
83
p
neutron g factor
2
1
-1
3.81971863420549
1
3.82608545
-0.00636682
84
p
neutron gyro ratio
0.5
-5
1
1.82834688813102
s^-1 T^-1
8
1.83247188
-0.00412499
85
p
neutron magnetic moment
-1.5
3
-2
9.67206096423148
J T^-1
-27
9.662364
0.00969696
86
p
neutron mass kg
4
-1
1
1.67551608191455
kg
-27
1.67492716
0.00058892
87
p
neutron molar mass
-5
0
-3
1.00786045103557
kg mol^-1
-3
1.008564915
-0.00070446
88
p
Newtonian gravitational
1
-1
0
6.66666666666667
m^3 kg^-1 s^-2
-11
6.673
-0.00633333
89
p
nuclear magneton
-1
0
-2
5.06605918211689
J T^-1
-27
5.050578317
0.01548087
90
p
perm vc-el constant
-2
-2
-1
8.84194128288308
F m^-1
-12
8.854187817
-0.01224653
91
p
permeability of vacuum
2
0
1
1.25663706143592
H m^-1
-6
1.256637061
0.00000000
92
p
permittivity vac squared
-4
-4
-2
7.81799256499520
F^2 m^-2
-12
7.83966419
-0.02167163
93
p
Planck
-4
-1
-1
6.63145596216231
J s
-34
6.62606876
0.00538720
94
p
Planck / 2 pi
-5
-1
-2
1.05542899627435
J s
-34
1.054571596
0.00085740
95
p
Planck length
-7
-2.5
-3
1.61635695197490
m
-35
1.616
0.00035695
96
p
Planck mass
-5.5
0
-2
2.18089606238714
kg
-8
2.1767
0.01619606
97
p
Planck time
-4.5
-4
2
5.38492607996825
s
-44
5.3906
-0.00568392
98
p
proton charge- mass quot
-1.5
3
0
9.54594154601836
C kg^-1
0
9.57883408
-0.03289253
99
p
proton Compton wave x 2
-3.5
1
0
2.65165042944954
m
-15
2.6428198
0.00883063
100
p
proton g factor
4
-2
1
5.58505360638185
0
5.585694675
-0.00064107
101
p
proton gyro ratio
1.5
1
1
2.66572976289503
s^-1 T^-1
8
2.6751301
-0.00940034
102
p
proton mag sh correction
2
-2.5
0
2.56600119639833
-5
2.5687
-0.00269880
103
p
proton magnetic moment
2
-2
1
1.39626340159546
J T^-1
-26
1.410606633
-0.01434323
104
p
proton mass kg
2.5
1
2
1.67492740791334
kg
-27
1.67262158
0.00230583
105
p
proton mass/electron mass
2.5
-1
4
1.83676343518296
3
1.836
0.00076344
106
p
proton specific charge
0
1
-1
9.54929658551373
C kg
0
9.57883408
-0.02953749
107
p
quantum circulation
1
-0.5
1
3.62759872846843
m^2 s^-1
-4
3.636947416
-0.01869758
108
p
quantum of circul x 2
2
-0.5
1
7.25519745693685
m^2 s^-1
-4
7.273895032
-0.01869758
109
p
radiation constant
-1.5
-3.5
0
7.56015352710854
J m^-3 K^-4
-16
7.5675
-0.00734647
110
p
Rydberg constant
0
-2
2
1.09662271123215
m^-1
7
1.097373157
-0.00075045
111
p
Rydberg x hc - in
eV
-0.5
-1.5
0
1.36082763487954
eV
1
1.360569172
0.00025846
112
p
s1-s2 Hydrogen
-0.5
-2
1
2.46826829897686
nm
3
2.466061413
0.00220689
113
p
Sakur Tetrode constant
-0.5
1.5
1
1.15429484714567
0
1.1517048
0.00259005
114
p
sh helion gyro ratio
-2.5
-3
1
2.05689024914738
s^-1 T^-1
8
2.057894764
-0.00100451
115
p
sh helion magnetic mom
-1.5
1
-2
1.07467344047016
J T^-1
-26
1.074552967
0.00012047
116
p
sh proton gyro ratio
3
-1
0
2.66666666666667
s^-1 T^-1
8
2.67515341
-0.00848674
117
p
sh proton magnetic mom
-1
2
1
1.41371669411541
J T^-1
-26
1.410570399
0.00314630
118
p
specific electron charge
-1.5
2.5
-1
1.75431780277577
C kg^-1
0
1.7588047
-0.00448690
119
p
speed of sound - dry air
1
1.5
-1
3.30797337253076
m s^-1
0
3.314
-0.00602663
120
p
standard accel - gravity
2.5
0.5
0
9.79795897113276
m s^-2
0
9.80665
-0.00869103
121
p
standard atmosphere
0
0
-2
1.01321183642338
Pa
5
1.01325
-0.00003816
122
p
Stefan-Boltzmann
2.5
0
0
5.65685424949240
W m^-2 K^-4
-8
5.6704
-0.01354575
123
p
tau Compton wavelength
1
-2
1
6.98131700797731
m
-1
6.9997
-0.01838299
124
p
tau mass
-5
0
-2
3.16628698882305
kg
-27
3.167885
-0.00159801
125
p
tau molar mass
1
1
-1
1.90985931710275
J
-10
1.90774
0.00211932
126
p
Thomson cross section
-0.5
1
1
6.66432440723752
kg mol^-1
-3
6.65245854
0.01186587
127
p
von Klitzing
-2
-1
1
2.61799387799149
ohm
4
2.581280757
0.03671312
128
p
wavenumber/photon energy
0.5
-0.5
2
8.05849824859872
Ev^-1 cm^-1
-4
8.06554477
-0.00704652
129
p
weak mixing angle
-0.5
0
-1
2.25079079039276
-1
2.224
0.02679079
130
p
Wien displacement law
-1
-0.5
0
2.88675134594812
m K
-3
2.8977686
-0.01101725
Note: The following 5 values were first truncated initially...and then the 2,3,pi related value
has been associated, beginning only after these initial values are taken into consideration.
CU x unit 1.00 [shown above at 2.07846096908266 means 1.00207846096908266]
MO X unit 1.00 [shown above at 2.09439510239319 means 1.00209439510239319]
Angstrom star 1.0000 [shown above at 1.50052719359518 means 1.00001500527193595]
electron g factor -2.00 [shown above at 2.27972663195260 means -2.00227972663195260]
electron g x 1/2 -1.00 [shown above at 1.13986331597630 means -1.00113986331596302]