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Planck units and Schwarzschild units

Planck units and Schwarzschild units from Schwarzschild radius and $\kappa$- Einstein's costant.

Gravitational Constant from Stefan-Boltzmann Law and Planck Units with the Introduce of Schwarzschild Units.

Here the most importants physicals constants used for Plack units tables:

• the Speed of Light in a vacuum, c
• the Gravitational Constant, G
• the Reduced Planck Constant / Dirac Constant, ħ = h/2π
• The Planck constant, h
• the Coulomb Constant, k_e = 1/4π ε₀,
• the Boltzmann Constant, k_B
• the Fine Structure Constant, α
• the Vacuum Permeability, μ₀
• the Vacuum Permittivity, ε₀
• the Elementary Charge, e
• the Stefan–Boltzmann law, σ

Base Planck units in MKSI:

Table 1: Dimensional universal physical constants normalized with Planck units

Constant	Symbol	Dimension	Value 2019 (SI units)
Speed of light in vacuum Velocità della Luce nel vuoto	c	L T−1	299 792 458 m/s (exact by definition of metre)
Gravitational constant Costante di Gravitazione	G	L3 M−1 T−2	6.674 30 (15) × 10−11 m3⋅kg−1⋅s−2
Reduced Planck constant Costante di Planckridotta	$\hbar ={\frac {h}{2\pi }}$where h is the Planck constant	L2 M T−1	1.054 571 817... × 10−34 J⋅s (exact by definition of the kilogram since 20 May 2019)
Vacuum Permeability Permeabilitià Magnetica	$\mu _{0}={\frac {1}{\varepsilon _{0}c^{2}}}\approx 4\pi \times {10}^{-7}$	L M Q−2	1.256 637 062 12... × 10−6 N/A2 or T⋅m/A or H/m
Coulomb Magnetic constant Costante Magnetica di Coulomb	$k_{m}={\frac {4\pi }{\mu _{0}}}={\frac {c^{2}}{{k}_{e}}}={4\pi {\varepsilon }_{0}c^{2}}$	L−1 M−1 Q2	9.999 999 994 5 (85) × 106 m/H or A2/N or A/(T⋅m) or A⋅m/Wb = 1/1.000 000 000 55 (15) × 10−7 H/m or N/A2 or T⋅m/A
Vacuum Permittivity Permittività Elettrica	$\varepsilon _{0}={\frac {1}{{\mu }_{0}c^{2}}}$	L−3 M−1 T2 Q2	8.854 187 812 8 (13) × 10−12 F/m or N/V2 (exact by definitions of ampere and metre until 20 May 2019)
Coulomb constant Costante di Coulomb	$k_{e}={\frac {1}{4\pi {{\varepsilon }_{0}}}}$ where ε0 is the permittivity of free space also as know as Elastivity	L3 M T−2 Q−2	8.987 551 787 368 176 4 × 109 kg⋅m3⋅s−4⋅A−2 or V2/N or m/F or H⋅m/s2 (exact by definitions of ampere and metre until 20 May 2019)
Elementary Charge Carica Elementari	e	Q	1.602 176 634 × 10−19 C or A⋅s or J/V
Magnetic Charge Carica Magnetica	$g_{m}={\frac {h}{{\mu }_{0}e}}={\frac {2\pi \,\hbar }{{\mu }_{0}e}}={\frac {e\,c}{2{\,\alpha }}}$	L T−1 Q	3.291 059 782 962 960... × 10−9 A⋅m
Fine Structure Constant Costante di Struttura Fine	α or 1/α, which is approximately 1/137	Dimensionless	0.007 297 352 569 3 (11) 1/137.035 999 084 (21)
Boltzmann constant Costante di Boltzmann	kB	L2 M T −2 Θ−1	1.380 649 × 10−34 J/K (exact by definition of the kelvin since 20 May 2019)
Stefan–Boltzmann law Legge di Stefan-Boltzmann	$\sigma ={\frac {{\pi }^{2}{k}_{B}^{4}}{60\,{\hbar }^{3}{c}^{2}}}={\frac {{2\pi }^{5}{k}_{B}^{4}}{15\,{h}^{3}{c}^{2}}}$	M T−3 Θ−4	5.670 374 419... × 10−8 W/m2⋅K−4

Key: L = length, M = mass, T = time, Q = electric charge, Θ = Temperature.

And so on in Planck Units:

Table 2: Base Planck units

Name	Dimension	Expression	Value 2019 (SI units)
Planck Length	Length (L)	$l_{\text{P}}={\sqrt {\frac {\hbar \,G}{c^{3}}}}$	1.616 255 (18) × 10−35 m
Planck Mass	Mass (M)	$m_{\text{P}}={\sqrt {\frac {\hbar \,c}{G}}}$	2.176 434 (24) × 10−8 kg
Planck Time	Time (T)	$t_{\text{P}}={\frac {l_{\text{P}}}{c}}={\frac {\hbar }{m_{\text{P}}c^{2}}}={\sqrt {\frac {\hbar \,G}{c^{5}}}}$	5.391 245 (60) × 10−44 s
Planck Charge	Electric charge (Q)	$q_{\text{P}}={\sqrt {4\pi \varepsilon _{0}\hbar \,c}}={\frac {e}{\sqrt {\alpha }}}$	1.875 545 956 × 10−18(41) C
Planck Temperature	Temperature (Θ)	$T_{\text{P}}={\frac {m_{\text{P}}c^{2}}{k_{\text{B}}}}={\sqrt {\frac {\hbar \,c^{5}}{G\,k_{\text{B}}^{2}}}}$	1.416 784 (16) × 1032 K

Now we see the Schwarzschild Units or Einstein's Constant or simple Planck Units by reference to mass, M.

Table 3: Base Schwarzschild units

Name	Dimension	Expression	Value 2019 approx
Schwarzschild Gravitational Coupling	Gravitational Coupling Constant (M−2)	$\alpha _{\mathrm {r_{s}} }={\frac {G\,m_{\mathrm {r_{s}} }^{2}}{\hbar \,c}}=\left({\frac {m_{\mathrm {r_{s}} }}{m_{\mathrm {P} }}}\right)^{2}={\frac {1}{m_{\mathrm {P} }^{2}}}={\frac {G}{\hbar \,c}}$	2.111 100 × 10–15 kg−2
Schwarzschild Length Half Schwarzschild radius	Gravitational Length (LM−1)	${{l}_{{\text{r}}_{\text{s}}}}={\frac {{l}_{P}}{{m}_{P}}}={\sqrt {{\frac {\hbar \,G}{{c}^{3}}}{\frac {G}{\hbar \,c}}}}={\sqrt {\frac {{{\alpha }_{{\text{r}}_{\text{s}}}}\hbar \,G}{{c}^{3}}}}={\frac {{r}_{s}}{2}}={\frac {G}{{c}^{2}}}$	7.426 160 × 10–28 m·kg−1 rs = 1.485 232 × 10–27 m·kg−1
Schwarzschild Time	Gravitational Time (M−1T)	${{t}_{{\text{r}}_{\text{s}}}}={\frac {{l}_{{\text{r}}_{\text{s}}}}{c}}={\frac {{t}_{P}}{{m}_{P}}}={\sqrt {{\frac {\hbar \,G}{{c}^{5}}}{\frac {G}{\hbar \,c}}}}={\sqrt {\frac {{{\alpha }_{{\text{r}}_{\text{s}}}}\hbar \,G}{{c}^{5}}}}={\frac {{r}_{s}}{2\,c}}={\frac {G}{{c}^{3}}}$	2.477 100 × 10–36 s·kg−1
Schwarzschild Mass	Gravitational Mass (unknown units nats?)	${{m}_{{\text{r}}_{\text{s}}}}={\frac {{m}_{\text{P}}}{{m}_{\text{P}}}}={\frac {{l}_{{\text{r}}_{\text{s}}}}{{l}_{{\text{r}}_{\text{s}}}}}={\frac {G}{{c}^{2}}}{\frac {{c}^{2}}{G}}={\sqrt {{\alpha }_{{\text{r}}_{\text{s}}}}}\,{{m}_{P}}={\sqrt {\frac {{{\alpha }_{{\text{r}}_{\text{s}}}}\hbar \,c}{G}}}$	1
Schwarzschild Energy	Gravitational Potential (L2T−2)	${{E}_{{\text{r}}_{\text{s}}}}={{m}_{{\text{r}}_{\text{s}}}}{{c}^{2}}={\sqrt {{\alpha }_{{\text{r}}_{\text{s}}}}}\,{{E}_{P}}={\sqrt {\frac {{{\alpha }_{{\text{r}}_{\text{s}}}}\hbar \,{{c}^{5}}}{G}}}={{\Phi }_{G}}={{c}^{2}}$	8.987 551 787 368 176 4 × 1016 J·kg−1
Schwarzschild Charge	Gravitational Electric Charge (M−1Q)	${{q}_{{\text{r}}_{\text{s}}}}={{q}_{\text{P}}}{\sqrt {{\alpha }_{{\text{r}}_{\text{s}}}}}={\frac {{q}_{P}}{{m}_{\text{P}}}}={\sqrt {{\frac {4\pi {}}{{\mu }_{0}}}{l}_{{\text{r}}_{\text{s}}}}}={\sqrt {4\pi {{\varepsilon }_{0}}G}}$	8.617 517 × 10–11 C·kg−1 (Hz/T) or K/N
Schwarzschild Monopole	Gravitational Magnetic Charge (LT−1M−1Q)	$q_{{\text{r}}_{\text{s}}}^{m}={{q}_{{\text{r}}_{\text{s}}}}c={\frac {{{q}_{P}}c}{{m}_{P}}}={\sqrt {4\pi {{\varepsilon }_{0}}{G\,{c}^{2}}}}={\sqrt {{\frac {4\pi }{{\mu }_{0}}}G}}$	0.025 834 A·m·kg−1 (a/T)
Schwarzschild Temperature	Gravitational Temperature (MΘ)	${{T}_{{\text{r}}_{\text{s}}}}={\frac {{C}_{2}}{{l}_{{\text{r}}_{\text{s}}}}}={\frac {h\,c}{{{k}_{B}}{{l}_{{\text{r}}_{\text{s}}}}}}={\frac {2\pi \,{T}_{P}}{\sqrt {{\alpha }_{{\text{r}}_{\text{s}}}}}}={\sqrt {\frac {4{{\pi }^{2}}\hbar \,{{c}^{5}}}{{{\alpha }_{{\text{r}}_{\text{s}}}}Gk_{B}^{2}}}}={\frac {h\,{{c}^{3}}}{G{{k}_{B}}}}$	1.937 443 × 1025 K·kg
Schwarzschild Entropy	Gravitational Entropy ( L2M−1 T−2 Θ−1)	${{S}_{{\text{r}}_{\text{s}}}}={\frac {{{k}_{B}}r_{\text{s}}^{2}}{4l_{P}^{2}}}={\frac {{{k}_{B}}l_{{\text{r}}_{\text{s}}}^{2}}{l_{P}^{2}}}={\frac {{k}_{B}}{m_{P}^{2}}}={\frac {{{k}_{B}}{{l}_{{\text{r}}_{\text{s}}}}{{E}_{{\text{r}}_{\text{s}}}}}{\hbar \,c}}={\frac {{{k}_{B}}{{l}_{{\text{r}}_{\text{s}}}}{{c}^{2}}}{\hbar \,c}}={\frac {G\,{{k}_{B}}}{\hbar \,c}}={{\alpha }_{{\text{r}}_{\text{s}}}}{{k}_{B}}$	2.914 688 × 10−8 J/K kg−2

11Nov2018_04:42AM Italy. 28June2019_16:31PM Italy.

[1]

Schwarzschild Units 2014 CODATA

The relation between properties of mass and their associated physical constants. Every massive object is believed to exhibit all five properties. However, due to extremely large or extremely small constants, it is generally impossible to verify more than two or three properties for any object. The Schwarzschild radius (r_s) represents the ability of mass to cause curvature in space and time. The standard gravitational parameter (μ) represents the ability of a massive body to exert Newtonian gravitational forces on other bodies. Inertial mass (m) represents the Newtonian response of mass to forces. Rest energy (E₀) represents the ability of mass to be converted into other forms of energy. The Compton wavelength (λ) represents the quantum response of mass to local geometry.

Now we can use the Schwarzschild Units has use it on Schwarzschild Radius with any give Mass (M),

to calculate the proper Units of any Black Holes proprieties:

The Schwarzschild radius is given as:

$r_{s}={\frac {2GM}{c^{2}}}$

So The Schwarzschild Length is given as:

${{l}_{{\text{r}}_{\text{s}}}}\equiv {\frac {{r}_{s}}{2}}={\frac {G}{{c}^{2}}}M$

Such as the others metric units of Schwarzschild Units:

${{t}_{{\text{r}}_{\text{s}}}}\equiv {\frac {{r}_{s}}{2c}}={\frac {G}{{c}^{3}}}M$

We can obtain the Time of the any given Mass object as a Black Holes, only for Black Holes because depends of Speed of Lights (c) as velocity change it in others normals objects has Mass.

The Schwarzschild Energy is the famous Einstein's formula E=mc² of Energy conversion by Mass.

${{E}_{{\text{r}}_{\text{s}}}}\equiv {{\Phi }_{G}}=M{{c}^{2}}$

This came from Units conversions of Schwarzschid Units in MKSI, we need to took any unit and normal and adding on it or divide it per the kg (Mass) units as showing in Schwarzschild radius. So the key is to use it for all others unknown units. The kg is like a phantom units, invisible in normals units but visible in Gravitational units. Is like a switch unit. the Schwarzschild Units is more like it to be Planck Units with Planck Mass aside it. As told in Schwarzschild radius page.

Schwarzschild radius for Planck mass

For the Planck mass $m_{\rm {P}}={\sqrt {\hbar c/G}}$, the Schwarzschild radius $r_{\rm {S}}=2l_{\rm {P}}$ and the Compton wavelength $\lambda _{\rm {C}}=2\pi l_{\rm {P}}$ are of the same order as the Planck length $l_{\rm {P}}={\sqrt {\hbar G/c^{3}}}$."

Planck Units Removed from Wiki 2018Nov8_5AM

Image on: Sun 3 February 2019, 17:10:53.

Derived Planck Units CODATA 2014

Derived Planck units approximates in $\pi$number

Derived Planck units

Table 3: Derived Planck Units from 2019 CODATA

Name	Dimension	Expression	Approximate SI equivalent
Planck Area	Area (L2)	$l_{\text{P}}^{2}={\frac {\hbar \,G}{c^{3}}}$	2.612 280 × 10−70 m2
Planck Volume	Volume (L3)	$l_{\text{P}}^{3}={{\left({\frac {\hbar \,G}{{c}^{3}}}\right)}^{\frac {3}{2}}}={\sqrt {\frac {{{\hbar }^{3}}{{G}^{3}}}{{c}^{9}}}}$	4.222 111 × 10−105 m3
Planck Momentum	Momentum (LMT−1)	$m_{\text{P}}c={\frac {\hbar }{l_{\text{P}}}}={\sqrt {\frac {\hbar \,c^{3}}{G}}}$	6.524 786 kg⋅m/s
Planck Energy	Energy (L2MT−2)	$E_{\text{P}}=m_{\text{P}}c^{2}={\frac {\hbar }{t_{\text{P}}}}={\sqrt {\frac {\hbar c^{5}}{G}}}$	1.956 082 × 109 J
Planck Force	Force (LMT−2)	$F_{\text{P}}={\frac {E_{\text{P}}}{l_{\text{P}}}}={\frac {\hbar }{l_{\text{P}}t_{\text{P}}}}={\frac {c^{4}}{G}}$	1.210 256 × 1044 N
Planck Power	Power (L2MT−3)	$P_{\text{P}}={\frac {E_{\text{P}}}{t_{\text{P}}}}={\frac {\hbar }{t_{\text{P}}^{2}}}={\frac {c^{5}}{G}}$	3.628 255 × 1052 W
Planck Intensity	Intensity (MT−3)	$I_{\text{P}}^{w}=\rho _{\text{P}}^{E}c={\frac {P_{\text{P}}}{l_{\text{P}}^{2}}}={\frac {c^{8}}{\hbar G^{2}}}$	1.388 923 × 10122 W/m2
Planck Density	Density (L−3M)	$\rho _{\text{P}}={\frac {m_{\text{P}}}{l_{\text{P}}^{3}}}={\frac {\hbar t_{\text{P}}}{l_{\text{P}}^{5}}}={\frac {c^{5}}{\hbar G^{2}}}$	5.154 849 × 1096 kg/m3
Planck Energy Density	Energy Density (L−1MT−2)	$\rho _{\text{P}}^{E}={\frac {E_{\text{P}}}{l_{\text{P}}^{3}}}={\frac {c^{7}}{\hbar G^{2}}}$	4.632 947 × 10113 J/m3
Planck Pressure	Pressure (L−1MT−2)	$p_{\text{P}}={\frac {F_{\text{P}}}{l_{\text{P}}^{2}}}={\frac {\hbar }{l_{\text{P}}^{3}t_{\text{P}}}}={\frac {c^{7}}{\hbar G^{2}}}$	4.632 947 × 10113 Pa
Planck Angular Frequency	Angular Frequency (T−1)	$\omega _{\text{P}}={\frac {1}{t_{\text{P}}}}={\sqrt {\frac {c^{5}}{\hbar G}}}$	1.854 859 × 1043 rad/s
Planck Current	Electric Current (T−1Q)	$I_{\text{P}}={\frac {q_{\text{P}}}{t_{\text{P}}}}={\sqrt {\frac {4\pi \varepsilon _{0}c^{6}}{G}}}$	3.478 873 × 1025 A
Planck voltage	Voltage (L2MT−2Q−1)	$V_{\text{P}}={\frac {E_{\text{P}}}{q_{\text{P}}}}={\frac {\hbar }{q_{\text{P}}t_{\text{P}}}}={\sqrt {\frac {c^{4}}{4\pi \varepsilon _{0}G}}}$	1.042 940 × 1027 V
Planck Impedance	Resistance (L2MT−1Q−2)	$Z_{\text{P}}={\frac {V_{\text{P}}}{I_{\text{P}}}}={\frac {\hbar }{q_{\text{P}}^{2}}}={\frac {1}{4\pi \varepsilon _{0}c}}={\frac {Z_{0}}{4\pi }}$	29.979 245 8 Ω
Planck Resistivity	Resistivity (L3MT−1Q−2)	$Z_{P}^{\rho }={\frac {{{V}_{\text{P}}}{{l}_{\text{P}}}}{{I}_{P}}}={\frac {\hbar {{l}_{\text{P}}}}{q_{P}^{2}}}={\frac {\sqrt {t_{P}}}{4\pi {\varepsilon _{0}}}}={\sqrt {\frac {\hbar G}{16{{\pi }^{2}}\varepsilon _{0}^{2}{{c}^{5}}}}}$	4.845 411 × 10−34 Ω·m
Planck Electric Flux	Electric Flux (L3MT−2Q)	$\phi _{P}^{E}={{V}_{\text{P}}}{{l}_{\text{P}}}={\frac {\hbar {{l}_{\text{P}}}}{{{t}_{P}}{{q}_{\text{P}}}}}={\sqrt {\frac {\hbar c}{4\pi {{\varepsilon }_{0}}}}}$	1.685 657 × 10−8 V·m
Planck Electric Field Strength	Electric Field Strength (LMT−2Q)	${\bf {E}}_{P}={\frac {{V}_{\text{P}}}{{l}_{\text{P}}}}={\frac {{F}_{P}}{{q}_{\text{P}}}}={\sqrt {\frac {p_{P}}{4\pi \varepsilon _{0}}}}={\frac {\hbar }{{{t}_{P}}{{q}_{\text{P}}}{{l}_{\text{P}}}}}={\sqrt {\frac {{c}^{7}}{4\pi {{\varepsilon }_{0}}\hbar {{G}^{2}}}}}$	6.452 817 × 1061 V/m
Planck Magnetic Inductance	Magnetic Induction (MT−1Q−1)	${\bf {B}}_{\text{P}}={\frac {{\bf {E}}_{P}}{c}}={\frac {F_{\text{P}}}{l_{\text{P}}I_{\text{P}}}}={\sqrt {\frac {\rho _{P}}{4\pi \varepsilon _{0}}}}={\frac {\hbar }{q_{\text{P}}l_{\text{P}}^{2}}}={\sqrt {\frac {c^{5}}{4\pi \varepsilon _{0}\hbar G^{2}}}}$	2.152 428 × 1053 T
Planck Magnetic Flux	Magnetic Flux (L2MT−1Q−1)	$\Phi _{\text{P}}={\frac {E_{\text{P}}}{I_{\text{P}}}}={\frac {\hbar }{q_{\text{P}}}}={\sqrt {\frac {\hbar }{4\pi \varepsilon _{0}c}}}$	5.622 746 × 10−17 Wb
Planck Magnetic Charge	Magnetic Charge (LT−1Q)	$q_{P}^{m}=q_{\text{P}}c={\frac {F_{\text{P}}}{\bf {B_{\text{P}}}}}={\frac {4\pi }{\mu _{0}}}\Phi _{\text{P}}={\sqrt {4\pi {{\varepsilon }_{0}}\hbar {{c}^{3}}}}$	5.622 746 × 10−10 A·m
Planck Magnetic Potential	Magnetic Potential (LMT−1Q−1)	${{\bf {A}}_{P}^{\phi }}={\frac {{E}_{P}}{q_{P}^{m}}}={{\bf {B}}_{\text{P}}}{{l}_{P}}={\frac {\hbar }{{{q}_{\text{P}}}{{l}_{P}}}}={\sqrt {\frac {{c}^{2}}{4\pi {{\varepsilon }_{0}}G}}}$	3.478 873 × 1018 T·m or Wb/m
Planck's Verdet Costant	Optical (L−1M−1TQ)	${{V}_{P}^{\theta }}={\frac {rad}{{\bf {A}}_{P}^{\phi }}}={\frac {{q}_{P}^{m}}{2\pi E_{P}}}={\frac {1}{2\pi {\bf {B}}_{P}{l}_{P}}}={\frac {{{q}_{\text{P}}}{{l}_{P}}}{2\pi \hbar }}={\sqrt {\frac {{{\varepsilon }_{0}}G}{\pi {c}^{2}}}}$	4.574 900 × 10−20 rad/T·m
Planck Magnetic Dipole	Magnetic Dipole Moment (L2T−1Q)	$\mu _{P}^{d}=q_{P}^{m}{{l}_{P}}={{I}_{P}}{{l}_{P}}^{2}={\sqrt {4\pi {{\varepsilon }_{0}}{{\hbar }^{2}}G}}$	9.087 791 × 10−45 A·m2
Planck Magnetic Displacement	Magnetic Field Strength  (L−1T−1Q)	${{\bf {H}}_{\text{P}}}={\frac {{I}_{P}}{{l}_{\text{P}}}}={\frac {{q}_{\text{P}}}{{{t}_{P}}{{l}_{P}}}}={\sqrt {\frac {4\pi {{\varepsilon }_{0}}{{c}^{9}}}{\hbar {{G}^{2}}}}}$	2.152 428 × 1060 A/m
Planck Current Density	Current Density (L−2T−1Q)	${{\bf {J}}_{P}}={\frac {{I}_{P}}{{{l}_{\text{P}}}^{2}}}={\frac {{q}_{\text{P}}}{{{t}_{P}}{{l}_{P}}^{2}}}={\sqrt {\frac {4\pi {{\varepsilon }_{0}}{{c}^{12}}}{{{\hbar }^{2}}{{G}^{3}}}}}$	1.331 738 × 1095 A/m2
Planck Electrical Inductance	Inductance (L2MQ−2)	$L_{\text{P}}={\frac {E_{\text{P}}}{I_{\text{P}}^{2}}}={\frac {m_{\text{P}}l_{\text{P}}^{2}}{q_{\text{P}}}}={\frac {\hbar }{{{q}_{\text{P}}}{{I}_{P}}}}={\sqrt {\frac {G\hbar }{16\pi ^{2}\varepsilon _{0}^{2}c^{7}}}}$	1.616 255 (18) × 10−42 H
Planck Permeability	Permeability (LMQ−2)	${{\mu }_{\text{P}}}={\frac {{{V}_{\text{P}}}{{t}_{\text{P}}}}{{{I}_{P}}{{l}_{P}}}}={\frac {\hbar }{{{q}_{\text{P}}}{{I}_{P}}{{l}_{P}}}}={\frac {{k}_{e}}{{c}^{2}}}={\frac {1}{4\pi {{\varepsilon }_{0}}{{c}^{2}}}}$	1.000 000 000 55 × 10−7  H/m
Planck Electric Dipole	Electric Dipole Moment (LQ)	${{d}_{P}}={{q}_{P}}{{l}_{P}}={\sqrt {\frac {4\pi {{\varepsilon }_{0}}{{\hbar }^{2}}G}{{c}^{2}}}}$	3.031 361 × 10−53 C·m
Planck Electric Induction	Electric Displacement Field (L−2Q)	${{\bf {D}}_{P}}={\frac {{q}_{\text{P}}}{l_{P}^{2}}}={\sqrt {{4\pi \varepsilon _{0}}\,{p_{P}}}}={\sqrt {\frac {4\pi {{\varepsilon }_{0}}{{c}^{7}}}{\hbar {{G}^{2}}}}}$	7.179 727 × 1051 C/m2
Planck Capacitance	Capacitance (L−2M−1T2Q2)	${{C}_{\text{P}}}={\frac {{q}_{\text{P}}}{{V}_{\text{P}}}}={\frac {{{t}_{P}}{{q}_{\text{P}}}^{2}}{\hbar }}={\frac {{l}_{P}}{{k}_{e}}}={\sqrt {\frac {16{{\pi }^{2}}\varepsilon _{0}^{2}\hbar G}{{c}^{3}}}}$	1.798 326 × 10−45 F
Planck Permittivity	Permittivity (L−3M−1T2Q2)	${{\varepsilon }_{\text{P}}}={\frac {{q}_{\text{P}}}{{{V}_{\text{P}}}{{l}_{P}}}}={\frac {{{t}_{P}}{{q}_{\text{P}}}^{2}}{\hbar {{l}_{\text{P}}}}}={\frac {1}{{k}_{e}}}=4\pi {{\varepsilon }_{0}}$	1.112 650 055 × 10−10 F/m
Planck Conductance	Conductance (L−2M−1TQ2)	${{G}_{P}}={\frac {{I}_{P}}{{V}_{\text{P}}}}={\frac {q_{P}^{2}}{\hbar }}=4\pi {{\varepsilon }_{0}}c={\frac {4\pi }{{Z}_{0}}}$	0.033 356 S or Ω−1
Planck Electric Conductivity	Conductivity (L−3M−1TQ2)	${{\sigma }_{P}}={\frac {{G}_{P}}{{l}_{P}}}={\frac {{I}_{P}}{{{V}_{\text{P}}}{{l}_{\text{P}}}}}={\frac {{\omega }_{P}}{{k}_{e}}}={\frac {q_{P}^{2}}{\hbar {{l}_{\text{P}}}}}={\sqrt {\frac {16{{\pi }^{2}}\varepsilon _{0}^{2}{{c}^{5}}}{\hbar G}}}$	2.063 809 × 1033 S/m
Planck Volumetric Flow Rate	Volumetric Flow Rate (L3T−1)	$Q_{\text{P}}=l_{\text{P}}^{2}c={\frac {l_{\text{P}}^{3}}{t_{\text{P}}}}={\frac {\hbar G}{c^{2}}}$	7.831 419 × 10−62 m3/s
Planck Viscosity	Dynamic Viscosity (L−1MT−1)	$\eta _{\text{P}}=p_{\text{P}}t_{\text{P}}={\sqrt {\frac {c^{9}}{\hbar G^{3}}}}$	2.497 736 × 1070 Pa⋅s
Planck Acceleration	Acceleration (LT−2)	$a_{\text{P}}={\frac {c}{t_{\text{P}}}}={\frac {4\pi }{\mu _{0}\,C_{P}}}={\sqrt {\frac {c^{7}}{\hbar G}}}$	5.560 726 × 1051 m/s2
Planck Monopole Current	Magnetic Current (LT−2Q)	$I_{P}^{m}={{I}_{P}}c={{a}_{P}}{{q}_{P}}={\frac {q_{P}^{m}}{{t}_{P}}}={\sqrt {\frac {4\pi {{\varepsilon }_{0}}{{c}^{8}}}{G}}}$	1.042 940 × 1034 A⋅m⋅s−1 or W/T·m
Planck Temperature over 2 π	Temperature (Θ)	$T_{P}^{2\pi }={\frac {{C}_{2}}{{l}_{P}}}={\frac {hc}{{k}_{B}{l}_{P}}}={\frac {2\pi {E}_{P}}{{k}_{B}}}\equiv {\sqrt {\alpha }}{I}_{P}^{m}$	8.901 917 × 1032 K
Planck Entropy	Entropy ( L2M T−2Θ−1)	${{S}_{P}}={\frac {E_{P}}{T_{P}}}={\sqrt {k_{B}^{2}}}={{k}_{B}}$	1.380 649 × 10−23 J/K
Planck Entropy over Fine Structure Constant	Entropy ( L2M T−2Θ−1)	${{S}_{P}^{\alpha }}={\frac {{\sqrt {\alpha }}\,E_{P}}{T_{P}^{2\pi }}}={\frac {{\sqrt {\alpha }}\,{k}_{B}}{2\pi }}\cong {\frac {E_{P}}{I_{P}c}}={\frac {\mu _{0}q_{P}}{4\pi }}={\frac {\hbar }{q_{P}c}}={\sqrt {\frac {\hbar }{4\pi \varepsilon _{0}c^{3}}}}$	1.877 094 × 10−25 J/K ≈ 1.875 546 × 10−25 kg⋅m/C or T·m/Hz
Planck's Bekenstein Bound	Information Theory	$I_{P}^{\text{bit}}={\frac {2\pi ~{{l}_{P}}{{E}_{P}}}{\hbar ~c~{\text{Log}}\left[2\right]}}={\frac {2\pi }{~{\text{Log}}\left[2\right]}}$	9.064 720 ... bit ≈ 23.18 ≈ 1.133 Bytes
Planck's Stefan Law	Constant of Proportionality (M T−3Θ−4)	$\sigma _{P}={\frac {{P}_{P}}{{l}_{P}^{2}{T}_{P}^{4}}}={\frac {{k}_{B}^{4}}{{\hbar }^{3}{c}^{2}}}={\frac {{16}\pi ^{4}\hbar {c}^{2}}{C_{2}^{4}}}$	3.447 174 × 10−8 W/m−2 K-4
Planck Locus	Second Radation Constant (L Θ)	$C_{2_{P}}={\frac {C_{2}}{\sqrt {\alpha }}}={\frac {hc}{{k}_{B}{\sqrt {\alpha }}}}={\frac {2\pi {E}_{P}{l}_{P}}{{k}_{B}{\sqrt {\alpha }}}}$	0.168 427 K m
Planck Thermodynamic Beta	Negative Temperature (L−2M−1T2)	$\beta _{P}={\frac {1}{k_{B}T_{P}}}={\frac {1}{E_{P}}}={\frac {t_{\text{P}}}{\hbar }}={\sqrt {\frac {G}{\hbar c^{5}}}}$	5.112 261 × 10−10 J−1
Planck Heat Capacity	Specific Heat Capacity	$C_{{\text{mp}}_{P}}={\frac {S_{P}}{m_{P}}}={\frac {k_{B}}{m_{P}}}={\sqrt {\frac {G{k_{B}^{2}}}{\hbar \,c}}}$	6.343 628 × 10−16 J·kg−1·K−1
Planck molar Heat Capacity	Molar Heat Capacity	$C_{{\text{np}}_{P}}={\frac {5\,S_{P}}{2\,{\text{mol}}}}={\frac {5\,k_{B}}{2\,R\,m_{P}}}={\frac {5\,k_{B}\,M_{u}}{2\,m_{P}}}$	1.585 907 × 10−18 J·K−1·mol−1
Planck Heat Capacity volume costant	Volume Molar Heat Capacity	$C_{{\text{Vm}}_{P}}={\frac {3\,S_{P}}{2\,{\text{mol}}}}={\frac {3\,k_{B}}{2\,R\,m_{P}}}={\frac {3\,k_{B}\,M_{u}}{2\,m_{P}}}$	9.515442 × 10−18 J·K−1·mol−1
Planck Heat Capacity Ratio	Dimensionless	$\gamma ={\frac {C_{{\text{mp}}P}}{C_{{\text{mV}}P}}}={\frac {{k_{B}}{l_{P}^{3}}}{{m_{P}}{k_{B}}}}\approx {\frac {1}{\rho _{P}}}$	1.939 921 × 10−97
Planck Volumetric Heat Capacity	Volumetric Heat Capacity	$S_{{\text{V}}_{P}}={\frac {S_{P}}{l_{P}^{3}}}={\frac {k_{B}}{l_{P}}}={\sqrt {\frac {c^{3}}{\hbar \,G}}}^{3}{k_{B}}$	3.270 044 × 1081 J·K−1·m−3
Planck Gravitational	Gravitation (L3M−1T−2)	$G={\frac {{{l}_{P}}^{3}}{{{m}_{P}}{{t}_{P}}^{2}}}={\frac {{{E}_{P}}{{l}_{P}}}{m_{P}^{2}}}={\frac {{{F}_{P}}{{l}_{P}^{2}}}{m_{P}^{2}}}={\frac {c^{4}}{F_{P}}}$	6.674 30 (15) × 10−11 J·m kg−2
Planck Gravitational Radiation	Gravitational Radiation Constant (L16T−16Q8)	$G_{\Theta }\cong {\frac {{{q}_{P}^{m8}}{{c}^{8}}}{32\pi ^{5}}}={\frac {{{q}_{P}^{8}}{{c}^{16}}}{32\pi ^{5}}}\cong {\frac {{{8}\pi ^{3}\hbar ^{8}}{{c}^{8}}}{{k}_{B}^{8}\alpha ^{4}}}$	6.612 823 5 × 10−11 K8·m8≈ 6.656 619 5 × 10−11 W8·T8
Planck Coupling Constant	Gravitational Coupling Constant	$\alpha _{G_{P}}={\frac {{{m}_{P}}^{2}}{{{m}_{P}}^{2}}}={\frac {{{l}_{P}}^{2}}{{{l}_{P}}^{2}}}={\frac {{{t}_{P}}^{2}}{{{t}_{P}}^{2}}}={\frac {{{q}_{P}}^{2}}{{{q}_{P}}^{2}}}=...$	1
Planck Action	Action (L2MT−1)	$\hbar ={{E}_{P}}{{t}_{P}}={{\alpha }_{{G}_{P}}}\hbar ={\sqrt {{\frac {\hbar c^{5}}{G}}{\frac {\hbar G}{c^{5}}}}}$	1.054 571 817 ... × 10−34 J·s
Planck Units	Dimensionless	${\sqrt {{\alpha }_{{G}_{P}}}}={\frac {{m}_{P}}{{m}_{P}}}={\frac {{l}_{P}}{{l}_{P}}}={\frac {{t}_{P}}{{t}_{P}}}={\frac {{q}_{P}}{{q}_{P}}}=...$	1

Update 11 June 2019 Tuesday, 13:38. +1UTC _ Milan. Marian Gheorghe.

25 June 2019, 17:34. Rome +1UTC _ Milan.

28 June 2019, 19:06. Rome +1UTC _ Milan.

Maxwell 's equation in Entropy

Electromagnetism as entropy view from Newton second law. General Relativity as thermodynamics propriety from Boltzmann costant and so by Maxwell's equations in entropy relationship as permeability by charge. Newton's law interpretation: F is force. m is mass. a is acceleration. T is temperature. q is charge. V is voltage. S is entropy. A is vector potential. B is magnetic induction. t is time. General Relativity in Entropy view: Guv is Einstein's costant. Tuv is tensor energy-impulse. To descrive Gravitational constant as G is: \hbar is Planck constant. c is speed of light. k is Boltzmann constat \alpha is fine structure constant.

Electromagnetism as entropy view from Newton second law.

General Relativity as thermodynamics propriety from Boltzmann costant and so by Maxwell's equations in entropy relationship as permeability by charge.

from Newton's law interpretation:

• F is force.
• m is mass.
• a is acceleration.
• T is temperature.
• q is charge.
• V is voltage/.
• S is entropy.
• A is vector potential.
• B is magnetic induction.
• t is time.

General Relativity in entropic view:

• ${\bf {G_{\mu \upsilon }}}$ is Einstein's costant.
• ${\bf {T_{\mu \upsilon }}}$ is tensor energy-impulse.

To descrive Gravitational constant, G is:

• ħ is Planck constant.
• c is speed of light.
• $k_{B}$ is Boltzmann constat
• $\alpha$ is fine structure constant.

Maxwell's equations in Thermodynamic as Entropy views. Nothing change the old Maxwell's equations just seen it from others prospettives angles.

${\frac {1}{G}}={\frac {\mu _{0}}{4\pi c^{2}}}{\frac {q\cdot Q}{r^{2}}}$

Permeability constant by speed of light sqrt  to get inverse Gyromagnetic ratio per Force. Units is Tesla sqrt second sqrt by Newton. or in entropic view is Newton by Kelvin^2. Or Entropy, S, per Second radiation constant or Kelvin metre.

Maxwell's equations in Thermodynamic as Entropy views. Nothing change the old Maxwell's equations just seen it from others prospettives angles.

Prove of Gravitational Constant by Stefan-Boltzmann law and Planck units and Schwarzschild units

Gravitational constant by Stefan Boltzmann Law from Planck-Schwarzschild units. G from Planck Units and Schwarzschild units and relationship of Stefan law. is not easy to views this missing units of G. but if u can see the stean law of Planck units and Schwarzschild units, or simle yet again Planck units by Planck mass. we see the real deep missing Gravitational constant ratio and is missing MKS units.

Updates

Date: 12 Nov 2018, 08:26. Move from Wikipedia users to here, Is a Draft! Need to work out to clean it and set study on it.

Date: 12 Nov 2018, 09:05.

Date:13 June 2019. update back on work

Date: 14 June 2019, 01:01.

Date: 14 June 2019, 02:38.

Date: 28 June 2019, 16:50. Milan

Date: 28 June 2019, 16:59. Milan

Date: 29 June 2019, 16:09. Milan

Date: 30 June 2019, 03:23. Milan

Date: 14 July 2019, 03:43. Milan

Date: 06 August 2019, 05:08. Milan

Date: 06 August 2019, 05:43. Milan

PHYSICS FIELD

External links

11 November 2018, 00:20. Marian Gheorghe.

Wikipedia:

• SI electromagnetism units

• International_Union_of_Pure_and_Applied_Chemistry
• Committee on Data for Science and Technology
• Particle Data Group

• Physical constant
• Natural units
• Dimensionless physical constant
• Geometrized unit system
• Appendix:SI units

• List of electromagnetism equations
• Table of thermodynamic equations
• List of equations in gravitation
• List of equations in fluid mechanics
• Schwarzschild radius
• Bekenstein bound
• Black hole thermodynamics#Overview
• Gravitational coupling constant
• Gravitational constant

• User:MarianGheorgheWiki

== Outside Sources ==

• (Plato's Cave: online book)
• (wiki/Platos_Cave_physics) home page)
• (online calculator)

• Technologyuk SI
• SI Units.
• SI Units EM Quantities PDF
• Magnetic Charge Lecture Notes
• SI Electro-Magnetism lecture
• Benkestein Bound (Entropy)
• Physics Stackexchange (Bekenstein Bound)
• Bekenstein Informations Limits
• Arvix.org - Benkestein Bound
• A proof of the Bekenstein bound for any strength of gravity through holography
• How much Information can you Store on the Surface of a Black Hole?
• Entropy, Arvix.org

• Bulleted list item
• 12NOV 2018_03:27_IT.

182NOV2018_17:37_UTC+1(Rome). MarianGheorgheWiki (discuss • contribs) 17:44, 18 November 2018 (UTC)