name

Symbol

unit

Value

remarks

Reduced Planck constant $h/2\pi$

$\hslash$

J∙s

$1.05457181\times {10}^{-34}$

exact

Official Gravitation constant

$G_{off}$

kg⁻¹∙m³∙s⁻¹

$6.67430\times {10}^{-11}$

contested

Optimized Gravitation constant

G

kg⁻¹∙m³∙s⁻¹

$6.67545375\times {10}^{-11}$

[5]

Relativity local speed

c

m∙s⁻¹

299792458

exact

Boltzmann conversion constant

$k_B$

J∙K⁻¹

$1.380649\times {10}^{-23}$

exact

Rydbergh reduced wavelength ${ƛ}_e{\left(2aH/p_t\right)}^2$

${ƛ}_{Ryd}$

m

$1.45190673\times {10}^{-8}$

${ƛ}_{Ryd}/l_P\approx \sqrt{O_M}$ (Monster Group order)

Fermi constant

$G_F$

J∙m³

$61.435851\times {10}^{-62}$

500 ppb

Electron mass $m_e=m_p/p_t=m_H/H=m_n/n_t$

$m_e$

kg

$9.1093837015\times {10}^{-31}$

0.3 ppb

Electron reduced wavelength $\hslash /m_{e}c$

${ƛ}_e$

m

$3.861592675\times {10}^{-13}$

0.3 ppb

Electron classical radius $\hslash /a{m}_{e}c$

$r_e$

m

$2.817940322\times {10}^{-15}$

0.45 ppb

Hydrogen Bohr radius $a\left(1+1/p_t\right){ƛ}_e$

$r_H$

m

$5.294654092\times {10}^{-15}$

0.45 ppb

Planck length ${\left(\hslash G/c^3\right)}^{1/2}$

$l_P$

m

$1.616395\times {10}^{-35}$

ppb [5]

Critical density $3/8G\pi t^2$

${\rho }_{cr}$

kgm⁻³

$9.41197996\times {10}^{-27}$

with $t=R/c$ , ${\rho }_{cr}$ independent of c

Optimised CMB temperature

$T_{CMB}$

K

2.7258204

[5] $T_{CMB\left(mes\right)}$ 2.7255(6)

CMB wavelength $hc/k_B{T}_{CMB}$

${\lambda }_{CMB}$

m

$5.278325924\times {10}^{-3}$

[5] ${\lambda }_{CMB}\approx 2f{\left(18\right)}_e{\left(\left(a-136\right)a/137\right)}^{1/2}$

CMB red. wav. ${\lambda }_{CMB}/2\pi$ ; ${\pi }_{CMB}\approx 3+2\left(a-{137}^2/a\right)$

${ƛ}_{CMB}$

m

$8.4007166\times {10}^{-4}$

$\left(4{\pi }_{CMB}/3\right){\left({ƛ}_{CMB}/{ƛ}_e\right)}^3\approx e^{\sqrt{137a}}$

CMB Wien wavelength ${\lambda }_{CMB}/w_i$

${\lambda }_{WCMB}$

m

$1.0630825\times {10}^{-3}$

[5]

CMB photon length ${\lambda }_{CMB}{\left(16\pi \xi \left(3\right)\right)}^{-1/3}$

$l_{phCMB}$

m

$1.345131\times {10}^{-3}$

[5]

CMB energy density $\left({\pi }^2/15\right)\hslash c/{ƛ}_{CMB}^4$

$u_{CMB}$

J∙m⁻³

$4.1767647\times {10}^{-14}$

[5]

Radiation density energy $u_{CMB}+u_{CNB}=y{u}_{CMB}$

$u_{rad}$

J∙m⁻³

$7.0224862\times {10}^{-14}$

[5]

Critical Energy versus radiation ratio ${\rho }_{cr}{c}^2/u_{CMB+CNB}$

$K_E$

-

12045.685

$\approx 2p_t^2/q{p}_{Ed}$

Square root of critical entropy ${\left(2M{n}_{ph}/m_H\right)}^{1/2}$

$K_n$

-

12087.731

$\to {\left(K_E{K}_n{p}_t/n_t\right)}^{1/2}\approx g_2{a}^2$

Optimized CNB temperature $T_{CMB}/t_0$

$T_{CNB}$

K

1.9455976

$t_0={\left(11/4\right)}^{1/3}$ [3]

Neutrino (CNB) reduced wavelength

${ƛ}_{CNB}$

m

$1.176957\times {10}^{-3}$

Non-Local (Kotov) length $c{t}_{nl}$

$l_{nl}$

m

$2.878184911\times {10}^{12}$

[5]

Hubble length (Universe radius)

R

m

$1.306713894\times {10}^{26}$

[5]

Cosmos holographic radius

$R_e$

m

$1.712894163\times {10}^{26}$

[5]

Cosmos radius

$R_C$

m

$9.075773376\times {10}^{86}$

[5]

Universe mass $m_P^4/m_e{m}_p{m}_H$

M

kg

$8.7965248\times {10}^{52}$

[5]

Baryonic Neutron Number $\left(3/10\right)m_P^4/m_e{m}_p{m}_H{m}_n$

$n_n^{\left(bar\right)}$

-

$\underset{\_}{136.068464\times 2^{256}}$

[5]

Eddington Large Number

$n_{Ed}$

-

$\underset{\_}{136\times 2^{256}}$

[10]

Cosmos holographic reduced mass $m_P^4/m_N^3$

$M_N$

kg

$1.15308454\times {10}^{53}$

[5] Nambu mass $m_N=a{m}_e$