FUPCON Tables

Appendix E. Quantum-Attribute Values of Elementary Particles

The mantissa of the SI values, which are listed in the right-most column of the tables, contain four digits. For more-accurate SI values, see the National Institute of Standards and Technology's (NIST's) reference on Constants, Units, and Uncertainty.

1. Quantum-Attribute Values of the Electron----Comparing the SE Values of Unity to the SI Values

The tables in this section are formatted to be printed in portrait orientation on 8.5- by 11-inch paper such that their rightmost columns are not truncated. Recognizing the tables' subscripts and superscripts from your monitor is difficult, if not impossible; therefore, view these tables from paper, printed at a resolution of at least 600 dots per inch.

Dimension Powers					Name of the Quantum Attribute of the Electron	Code	SE Value	Quantum Attribute Factor Combination	SI Value (to 4 significant digits)
M	K	Q	L	T	Name of the Quantum Attribute of the Electron	Code	SE Value	Quantum Attribute Factor Combination	SI Value (to 4 significant digits)
Table I. UNIDIMENSIONAL Quantum Attributes of the Electron
1					mass	m_e	1	m_e	9.109 × 10^-31 kg
	1				threshold temperature	k_e	1	k_e	5.929 × 10⁹ K
		1			charge	q_e	1	q_e	1.602 × 10^-19 C
			1		Compton wavelength	λ_e	1	λ_e	2.426 × 10^-12 m
				1	virtual-electron lifetime	t_e	1	t_e	8.093 × 10^-21 s
Table II. LENGTH---TIME Quantum Attributes of the Electron
			2		area	A, S	1	λ_e²	5.886 × 10^-24 m²
			3		volume	V	1	λ_e³	1.428 × 10^-35 m³
				-1	cyclic frequency	ν	1	t_e^-1	1.235 × 10²⁰ Hz
				-1	angular velocity	ω	1	t_e^-1	1.235 × 10²⁰ radian·s^-1
				-2	angular acceleration	α	1	t_e^-2	1.526 × 10⁴⁰ radian·s^-2
			1	-1	linear velocity	v	1	λ_e·t_e^-1	2.997 × 10⁹ m·s^-1
			1	-2	linear acceleration	a	1	λ_e·t_e^-2	3.704 × 10^-28 m·s^-2
Table III. MASS----LENGTH----TIME Quantum Attributes of the Electron
1			-3		mass density	ρ	1	m_e·λ_e^-3	6.377 × 10⁴ kg·m^-3
1			-1	-2	pressure	p	1	m_e·λ_e^-1·t_e^-2	5.731 × 10²¹ Pa
1			2		angular inertia	I	1	m_e·λ_e²	5.362 × 10^-54 kg·m²
1			1	-2	inertial force (m_ea)	F	1	m_e·λ_e·t_e^-2	3.374 × 10^-2 N
1			2	-2	torque (angular work)	τ	1	m_e·λ_e²·t_e^-2	8.187 × 10^-14 N·m
1			2	-2	energy, heat, linear work	E, Q, W	1	m_e·λ_e²·t_e^-2	8.187 × 10^-14 J
1			2	-3	power	P	1	m_e·λ_e²·t_e^-3	1.011 × 10⁷ W
1				-3	power density	S	1	m_e·t_e^-3	1.718 × 10⁷ W·m^-2
1			1	-1	linear momentum (m_ev)	p	1	m_e·λ_e·t_e^-1	2.730 × 10^-22 kg·m·s^-1
1			2	-1	angular momentum (I ω)	L	1	m_e·λ_e²·t_e^-1	6.626 × 10^-34 kg·m²·s^-1
Dimension Powers					Name of the Quantum Attribute of the Electron	Code	SE Value	Quantum Attribute Factor Combination	SI Value (to 4 significant digits)
M	K	Q	L	T	Name of the Quantum Attribute of the Electron	Code	SE Value	Quantum Attribute Factor Combination	SI Value (to 4 significant digits)
Table IV. ELECTROMAGNETIC Quantum Attributes of the Electron (contain q_e)
		1		-1	electric current	i	1	q_e·t_e^-1 = V R^-1	1.979 × 10^-1 A (C·s^-1)
		1	-2	-1	electric-current density	j	1	q_e·λ_e^-2·t_e^-1 = i λ_e^-2	3.362 × 10²⁴ A·m^-2
		1	-2		electric displacement	D	1	q_e·λ_e^-2 = j t_e	2.721 × 10⁴ C·m^-2
1		-1	2	-2	electric potential	V	1	m_e·q_e^-1·λ_e²·t_e^-2 = i R	5.109 × 10⁵ V
1		-2	2	-1	electric resistance	R	1	m_e·q_e^-2·λ_e²·t_e^-1 = G^-1	2.581 × 10⁴ Ω
-1		2	-2	1	electric conductance	G	1	m_e^-1·q_e²·λ_e^-2·t_e = R^-1	3.874 × 10^-5 S
1		-2	3	-1	electric resistivity (λ_eR)	ρ	1	m_e·q_e^-2·λ_e³·t_e^-1 = σ^-1	6.262 × 10^-8 Ω·m
-1		2	-3	1	electric conductivity (λ_e^-1G)	σ	1	m_e^-1·q_e²·λ_e^-3·t_e = ρ^-1	1.596 × 10^-7 S·m^-1
-1		2	-2	2	electric capacitance	C	1	m_e^-1·q_e²·λ_e^-2·t_e² = t_e²L^-1	3.135 × 10^-25 F
1		-2	2		magnetic inductance	L	1	m_e·q_e^-2·λ_e² = t_e²C^-1	2.089 × 10^-16 H
1		-1	3	-2	electric flux	Φ_E	1	m_e·q_e^-1·λ_e³·t_e^-2 = vΦ_B	1.239 × 10^-6 V·m
1		-1	2	-1	magnetic flux	Φ_B	1	m_e·q_e^-1·λ_e²·t_e^-1 = v^-1Φ_E	4.135 × 10^-15 V·s (Wb)
1		-1	1	-2	electric flux density	E	1	m_e·q_e^-1·λ_e·t_e^-2 = Φ_E λ_e^-2	2.1061 × 10¹⁷ V·m^-1
1		-1		-1	magnetic flux density	B	1	m_e·q_e^-1·t_e^-1 = Φ_B λ_e^-2	7.025 × 10⁸ T
		1	1		electric dipole moment	p	1	q_e·λ_e = v^-1µ	3.887 × 10^-31 C·m
		1	2	-1	magnetic dipole moment	µ	1	q_e·λ_e²·t_e^-1 = v p	1.165 × 10^-22 A·m²
		1	-2		electric polarization	P	1	q_e·λ_e^-2 = v^-1M	2.721 × 10⁴ C·m^-2
		1	-1	-1	magnetic magnetization	M	1	q_e·λ_e^-1·t_e^-1 = v P	8.159 × 10¹² A·m^-1
-1		2	-3	2	electric permittivity	ε	1	m_e^-1·q_e²·λ_e^-3·t_e² = (v²µ)^-1	1.292 × 10^-13 F·m^-1
1		-2	1		magnetic permeability	µ	1	m_e·q_e^-2·λ_e = (v²ε)^-1	8.610 × 10^-5 H·m^-1
Table V. THERMAL Quantum Attributes of the Electron (contain k_e)
1	-1		2	-2	entropy	S	1	m_e·k_e^-1·λ_e²·t_e^-2 = E k_e^-1	1.380 × 10^-23 J·K^-1

2. Quantum-Attribute Values of the Proton----Comparing the SP Values of Unity to SE and SI Values

The table in this section is formatted to be printed in portrait orientation on 8.5- by 11-inch paper such that its rightmost columns are not truncated. Recognizing the table's subscripts and superscripts from your monitor is difficult, if not impossible; therefore, view this table from paper, printed at a resolution of at least 600 dots per inch.

Dimension Powers					Name of the Quantum Attribute of the Proton	SP Code	SP Value	SE Value of the Same Magnitude	SI Value of the Same Magnitude
M	K	Q	L	T	Name of the Quantum Attribute of the Proton	SP Code	SP Value	SE Value of the Same Magnitude	SI Value of the Same Magnitude
Table VI. UNIDIMENSIONAL Quantum Attributes of the Proton
					proton-to-electron attribute conversion factor	δ	1836.15	1836.15	1836.15
1					proton mass	m_p	1	δ m_e	1.672 × 10^-27 kg
	1				proton threshold temperature	k_p	1	δ k_e	1.088 × 10¹³ K
		1			proton charge	q_p	1	+ q_e	+ 1.602 × 10^-19 C
			1		proton Compton wavelength	λ_p	1	δ^-1 λ_e	1.321 × 10^-15 m
				1	virtual-proton lifetime	t_p	1	δ^-1 t_e	4.407 × 10^-24 s

3. Quantum-Attribute Values of the Masson----Comparing the SG Values of Unity to SE and SI Values

Dimension Powers					Name of the Quantum Attribute of the Masson	SG Code	SG Value	SE Value of the Same Magnitude	SI Value of the Same Magnitude
M	K	Q	L	T	Name of the Quantum Attribute of the Masson	SG Code	SG Value	SE Value of the Same Magnitude	SI Value of the Same Magnitude
Table VII. Quantum Attributes of the Masson
					masson-to-electron attribute conversion factor	θ	2.041 × 10²¹	2.041 × 10²¹	2.041 × 10²¹
1					masson mass	m_g	1	θ m_e	1.859 × 10^-9 kg
1			2	-2	masson energy	E_g	1	θ m_e·λ_e²·t_e^-2	1.671 × 10⁸ J
	1				masson threshold temperature	k_g	1	θ k_e	1.210 × 10³¹ K
			1		masson Compton wavelength	λ_g	1	θ^-1 λ_e	1.188 × 10^-33 m
				1	virtual-masson lifetime	t_g	1	θ^-1 t_e	3.964 × 10^-42 s

4. Planck Values and Quantum-Attribute Values of the Masson

Dimension Powers					Dimension of the Planck Value	Planck Code	Historical Formula	Formula Using Quantum Massonic- Attribute Values	SI Value of the Planck Value
M	K	Q	L	T	Dimension of the Planck Value	Planck Code	Historical Formula	Formula Using Quantum Massonic- Attribute Values	SI Value of the Planck Value
Table VIII. Planck Values Compared to the Quantum-Attribute Values of the Masson
1					mass	M_Pl	(h_bar c G^-1)^½	α^-½ m_g	2.176 × 10^-8 kg
1			2	-2	energy	E_Pl	(h_bar c⁵ G^-1)^½	α^-½ m_g·λ_g²·t_g^-2	1.956 × 10⁹ J
	1				temperature	K_Pl	(h_bar c⁵ G^-1 k^-2)^½	α^-½ k_g	1.416 × 10³² K
			1		length	L_Pl	(h_bar c^-3 G)^½	α^½(2 π)^-1 λ_g	1.616 × 10^-35 m
				1	lifetime	T_Pl	(h_bar c^-5 G)^½	α^½(2 π)^-1 t_g	5.390 × 10^-44 s

5. Fundamental Universal Physical Constants of Nature---(Electron-Based)

Dimension Powers					Fundamental Universal Physical Constant of Nature	SE Code	SE Value	Various Formulas	SI Value (to 4 significant figures
M	K	Q	L	T	Fundamental Universal Physical Constant of Nature	SE Code	SE Value	Various Formulas	SI Value (to 4 significant figures
Table IX. ELECTRON-BASED Fundamental Universal Physical Constants of Nature
					fine-structure constant	α	(137.036)^-1	q_e² (2 ε₀ h c)^-1	(137.036)^-1
			1	-1	speed of light	c	1	λ_e·t_e^-1	299 792 458 m·s^-1
1			2	-1	Planck constant	h	1	m_e·λ_e²·t_e^-1 = m_e·λ_e c	6.626 × 10^-12 J·s
1			2	-2	rest-mass energy of the electron	E_e	1	m_e·λ_e²·t_e^-2 = m_e c²	8.187 × 10^-14 J
1					atomic mass unit (amu)	m_u	1822.89	1822.89 m_e	1.660 × 10^-27 kg
1	-1		2	-2	Boltzmann constant (entropy)	k	1	m_e·k_e^-1·λ_e²·t_e^-2 = E_e·k_e^-1	1.380 × 10^-23 J·K^-1
1	-1		2	-2	universal gas constant (entropy)	R	1	m_e·k_e^-1·λ_e²·t_e^-2 = E_e·k_e^-1	8.314 × 10³ J·K^-1 ·atoms·kmole^-1
					Avogadro's number (mass ratio)	N₀	1	(dimensionless)	6.022 × 10²⁶ atoms·kmole^-1
	1		1		Wien second radiation constant	c₂	1	k_e·λ_e	1.438 × 10^-2 m·K
		1		-1	electric current	i_e	1	q_e·t_e^-1 = V_e R_K^-1	1.979 × 10^-1 A
1		-1	2	-2	Hall potential	V_e	1	m_e·q_e^-1·λ_e²·t_e^-2	5.109 × 10⁵ V
1		-2	2	-1	Hall resistance (von Klitzing)	R_K	1	m_e·q_e^-2·λ_e²·t_e^-1 = G_e^-1	2.581 × 10⁴ Ω
-1		2	-2	1	Hall conductance	G_e	1	m_e^-1·q_e²·λ_e^-2·t_e = R_K^-1	3.874 × 10^-5 S
1		-2	3	-1	Hall resistivity (λ_e R_K)	ρ_e	1	m_e·q_e^-2·λ_e³·t_e^-1 = σ_e^-1	6.262 × 10^-8 Ω·m
-1		2	-3	1	Hall conductivity (λ_e^-1 G_e)	σ_e	1	m_e^-1·q_e²·λ_e^-3·t_e = ρ_e^-1	1.596 × 10^-7 S·m^-1
		1	2	-1	Bohr magneton	µ_B	(4π)^-1	(4π)^-1 q_e·λ_e²·t_e^-1	9.274 × 10^-12 J·T^-1
-1		2	-3	2	permittivity constant	ε₀	(2α)^-1	(2α)^-1 m_e^-1·q_e²·λ_e^-3·t_e²	8.854 × 10^-12 F·m^-1
1		-2	1		permeability constant	µ₀	2α	2α m_e·q_e^-2·λ_e	1.256 × 10^-6 H·m^-1
1			4	-3	Wien's first radiation constant	c₁	2π	2π m_e·λ_e⁴·t_e^-3	3.741 × 10^-16 W·m²
1	-4			-3	Stefan-Boltzmann constant	σ	2π⁵ 15^-1	2π⁵ 15^-1 m_e·k_e^-4·t_e^-3	5.672 × 10^-8 W·m^-2·K^-4
			-1		Rydberg constant	R_î	½ α²	½ α² λ_e^-1	1.097 × 10⁷ m^-1
				-1	Rydberg frequency	ν_R	½ α²	½ α² t_e^-1	3.288 × 10¹⁵ s^-1
1			2	-2	Rydberg energy	E_R	α² 2^-1	α² 2^-1 m_e·λ_e²·t_e^-2 = 2^-1 E_H	2.179 × 10^-18 J
1			2	-2	Hartree energy	E_H	α²	α² m_e·λ_e²·t_e^-2 = 2 E_R	4.358 × 10^-18 J
-1		1	-1	1	Zeeman splitting constant	Z_s	(4π)^-1	(4π)^-1 m_e^-1·q_e·λ_e^-1·t_e	4.668 × 10 m·Wb^-1
			1		classical electron radius	r_e	α (2π)^-1	α (2π)^-1 λ_e	2.817 × 10^-15 m
	1		1		Wien displacement- law constant	b_e	0.2014	0.2014 k_e·λ_e	2.897 × 10^-3 m·K

6. Fundamental Universal Physical Constants of Nature---(Masson-Based)

Dimension Powers					Fundamental Universal Physical Constant of Nature	SG Code	SG Value	Various Formulas	SI Value (to 4 significant figures
M	K	Q	L	T	Fundamental Universal Physical Constant of Nature	SG Code	SG Value	Various Formulas	SI Value (to 4 significant figures
Table X. MASSON-BASED Fundamental Universal Physical Constants of Nature
			1	-1	speed of light	c	1	λ_g·t_g^-1	299 792 458 m·s^-1
1			2	-1	Planck constant	h	1	m_g·λ_g²·t_g^-1 = m_g·λ_g c	6.626 × 10^-12 J·s
1			2	-2	masson rest-mass energy	E_g	1	m_g·λ_g²·t_g^-2 = m_g c²	1.671 × 10⁸ J
1	-1		2	-2	Boltzmann constant (entropy)	k	1	m_g·k_g^-1·λ_g²·t_g^-2 = E_g·k_g^-1	1.380 × 10^-23 J·K^-1
-1			3	-2	Newton gravitation constant	G	2 α(4π)^-1	2 α(4π)^-1 m_g^-1·λ_g³·t_g^-2	6.672 × 10^-11 kg^-1·m³·s^-2
1	-1		2	-2	black-hole entropy (area A)	s_g	π² α^-1\|A\|_g	π² α^-1 \|A\|_g m_g·k_g^-1·λ_g²·t_g^-2	\|A\|_g × 1.867 × 10^-20 J·K^-1
			1	-2	gravity acceleration (mass M, sphere surface area S)	g_g	2 α \|M\|_g \|S\|_g^-1	2 α \|M\|_g \|S\|_g^-1 λ_g·t_g^-2	\|M\|_g \|S\|_g^-1 × 1.103 × 10⁴⁸ m·s^-2
			1	-1	escape velocity (mass M, sphere radius r)	v_g	(α π^-1 \|M\|_g \|r\|_g^-1)^0.5	(α π^-1 \|M\|_g \|r\|_g^-1)^0.5 λ_g·t_g^-1	(\|M\|_g \|r\|_g^-1)^0.5 × 6.220 × 10⁹ m·s^-1
			1		Schwarzschild radius (mass M)	r_0g	α π^-1 \|M\|_g	α π^-1 \|M\|_g λ_g	\|M\|_g × 2.761 × 10^-36 m
1			-3		black-hole density (mass M)	d_g	3 4^-1 π² α^-3 \|M\|_g^-2	3 4^-1 π² α^-3 \|M\|_g^-2 m_g·λ_g^-3	\|M\|_g^-2 × 2.109 × 10⁹⁹ kg·m^-3

7. Quantum Force Magnitudes of the Electron and Masson---Comparing SE and SG Values to SI Values

Dimensional Powers					Force Quanta of Discrete Particles	Code	Unit Values	Quantum Attribute-Factor Configuration	SI Value (to 4 significant figures
M	K	Q	L	T	Force Quanta of Discrete Particles	Code	Unit Values	Quantum Attribute-Factor Configuration	SI Value (to 4 significant figures
Table XI. ELECTROMAGNETIC Force Quanta							SE
1			1	-2	electron inertial-force quantum	f_ie	137…	α^-1f_ee = α^-1f_me (proportional to m_e·λ_e·t_e^-2)	3.374 × 10^-2 N
		2	-2		electron electric-force quantum	f_ee	1	α f_ie = f_me (proportional to q_e²·λ_e^-2)	2.462 × 10^-4 N
		2		-2	electron magnetic-force quantum	f_me	1	α f_ie = f_ee (proportional to q_e²·t_e^-2)	2.462 × 10^-4 N
					f_ie-to-f_ee force-magnitude ratio	α^-1	137…	f_ief_ee^-1	137.036
					f_ie-to-f_me force-magnitude ratio	α^-1	137…	f_ief_me^-1	137.036
Table XII. GRAVITATIONAL Force Quanta							SG
1			1	-2	masson inertial-force quantum	f_ig	137…	α^-1f_gg (proportional to m_g·λ_g·t_g^-2)	1.405 × 10⁴¹ N
2			-2		masson gravitational-force quantum	f_gg	1	α f_ig (proportional to m_g²·λ_g^-2)	1.025 × 10³⁹ N
					f_ig-to-f_gg force-magnitude ratio	α^-1	137…	f_igf_gg^-1	137.036
Table XIII. GRAVITATIONAL-to-ELECTROMAGNETIC Force-Quantum Ratios
					SG-to-SE force ratio (inertial)	θ²	4.166 × 10⁴²	f_igf_ie^-1	4.166 × 10⁴²
					SG-to-SE force ratios	θ²	4.166 × 10⁴²	f_ggf_ee^-1 and f_ggf_me^-1	4.166 × 10⁴²

8. Quantum-Attributes of the Electron Bound in the Bohr Hydrogen Atom---Comparing SE Values to SI Values

Dimension Powers

Bound Electron
Quantum Attributes

Code
(in Bohr
Units)

SE
Value
(n = 1)

Quantum
Attribute-Factor
Configuration

Historical
Formula
(using constants)

SI
Value
(n = 1)

Table XIV. BOUND ELECTRON Quantum Attributes (n = the orbit number--1, 2, 3, etc.)

orbit
(Bohr) radius

r_n

(2πα)^-1

(2π)^-1(n α^-1)
(n λ_e)

2 n² h² ε₀
(2 m_e q_e²)^-1

5.294 × 10^-11
m

orbit length

λ_n

α^-1

(n α^-1)(n λ_e)

2 n² h² ε₀
(m_e q_e²)^-1

3.326 × 10^-10
m

orbit period

t_n = ω_n^-1

α^-2

(n α^-1)²(n t_e)

4 n³ h³ ε₀²
(m_e q_e⁴)^-1

1.520 × 10^-16
s

-1

orbit
frequency

ω_n = t_n^-1

α²

(n α^-1)^-2(n t_e)^-1

(4 n³ h³ ε₀²)^-1
m_e q_e⁴

6.577 × 10¹⁵
s^-1

-1

orbit linear
speed

s_n = λ_nω_n

(n α^-1)^-1
λ_e·t_e^-1

(2 n h ε₀)^-1
q_e²

2.187 × 10⁶
m·s^-1

-1

orbit linear
momentum

p_n = m_es_n

m_e(n α^-1)^-1
λ_e·t_e^-1

(2 n h ε₀)^-1
m_e q_e²

1.992 × 10^-24
kg·m·s^-1

-1

orbit angular
momentum

L_n = p_nr_n

(2π)^-1

m_e n (2π)^-1
λ_e²·t_e^-1

n h (2π)^-1

1.055 × 10^-34
kg·m²·s^-1

Table XV. ENERGY Quantum Units of the Bohr Hydrogen Atom (n = the orbit number--1, 2, 3, etc.)

-2

Bohr
energy

E_n =
+m_e λ_n²·t_n^-2

+α²

+n^-2 α²
m_e·λ_e²·t_e^-2

+m_e q_e⁴
(2 n h ε₀)^-2

+4.358 × 10^-18 N

-2

kinetic
energy

K_n = +½ E_n

+ ½ α²

+½ n^-2 α²
m_e·λ_e²·t_e^-2

+½ m_e q_e⁴
(2 n h ε₀)^-2

+2.179 × 10^-18 N

-2

potential
energy

U_n = -E_n

- ½ α²

-n^-2 α²
m_e·λ_e²·t_e^-2

-m_e q_e⁴
(2 n h ε₀)^-2

-4.358 × 10^-18 N

-2

total energy

E_T = K_n+U_n =
-½ E_n

- ½ α²

-½ n^-2 α²
m_e·λ_e²·t_e^-2

-½ m_e q_e⁴
(2 n h ε₀)^-2

-2.179 × 10^-18 N

Table XVI. PHOTON EMISSION Quantum Units of the Bohr Hydrogen Atom

-1

frequency

ν_ij =
ν_R(i^-2 - j^-2)

½ α² t_e^-1
(i^-2 - j^-2)

[m_e q_e⁴(8 h³ ε₀²)^-1]
[i^-2 - j^-2]

3.289 × 10¹⁵ s^-1
[i^-2 - j^-2]

-1

(wavelength)^-1

(λ_ij)^-1 =
R_î (i^-2 - j^-2)

½ α² λ_e^-1
(i^-2 - j^-2)

[m_e q_e⁴(8 c h³ ε₀²)^-1]
[i^-2 - j^-2]

1.097 × 10⁷ m^-1
[i^-2 - j^-2]

-1

speed

c = λ_ij ν_ij

λ_e·t_e^-1

2.998 × 10⁹ m·s^-1