Formula

Value (Gly)

Remarks

$2{\hslash }^2/G{m}_e{m}_p{m}_H$

13.81197676

Gravitational Hydrogen Molecule radius [5]

$\left(H/p_t\right)\mathrm{<mi>\; </mi>}{R}_{1H}$

13.81197676

From mono-atomic star limit radius $R_{1H}$ [28]

${ƛ}_w{\left(t_{nl}/t_e\right)}^2$

13.81197676

Identification predicting $t_{nl}\approx 9600.591457\text{s}$ (Equation (5))

${\left({ƛ}_p{ƛ}_H\right)}^{1/2}\mathrm{<mi>\; </mi>}{\left(WZ\right)}^4$

13.81197676

Symetrising the published relation $a_G\approx W^8$ [4]

${ƛ}_e{2}^{128}/d_e^2{\left(m_H/m_p\right)}^6$

13.81197676

Empirical, from the Combinatorial Hierarchy Lucas Large Number [7]

${\left(n_t{p}_W/1836p\right)}^{1/2}{ƛ}_e{\left(2^{18}/\pi \sqrt{a}\right)}^{10}$

13.811977

From ${\left(2g_3\right)}^{21}\approx s_{65}/2\pi$ ; $p_W=6{\pi }^5$ and $s_{65}\approx {\left(2\pi \right)}^2\sqrt{a}$

$\left(1/g_0\right){ƛ}_H{\left(R_C/2^{128}{l}_P\right)}^{1/2}$

13.811978

From $1/g_0=1+g_1^2+g_2^2\approx 2a^3/p{p}_G$ , with $p_G=P/2^{127/2}$

${\left({ƛ}_p{ƛ}_H\right)}^{1/2}{a}_w^{7/2}a/2\sqrt{5}$

13.811978

From ${\left(WZ\right)}^8\approx a^2{a}_w^7/20$

${ƛ}_e{\left(p_{hol}/p\right)}^2{e}_3^{\sqrt{a}/2}$

13.81198

Liaison between $e_3=\exp \left(\exp \left(e\right)\right)$ and $p_{hol}^2=4a^3/3$

$\left(32{\beta }^2/{\pi }^3\right){ƛ}_{CMB}^3/{ƛ}_Z^2$

13.81200

from the holographic relation $2\pi R/{ƛ}_e\approx \left(4\pi /3\right){\left({ƛ}_{CMB}/{ƛ}_{H_2}\right)}^3$ [5]

$\left(H/p_W\right){\left(2{\pi }^2{a}^3\right)}^5{ƛ}_e$

13.81196

with $p_W=6{\pi }^5$ , 5D holography in the gravitational Hydrogen molecule [19]

${\lambda }_p{\left(pH\right)}^{3a_s/4}$

13.81193

confirms the strong coupling $a_s$

$4a^4{ƛ}_e{\left(m_{bc}^{\left(0\right)}/m_H\right)}^9{\left(p_t/p_W\right)}^2$

13.81196

DNA bi-codon mass as calculation basis

${ƛ}_e{\left(WH/Zp\right)}^{1/2}{C}_y^{\left(0\right)32}/6f\left(26\right)$

13.81195

Cytosine topologic pertinence $C_y^{\left(0\right)}\approx f\left(10\right)=f{\left(26\right)}^{1/16}$

${ƛ}_e{\left(N_{ph}{\left(n_t/p_t\right)}^2/\pi \sqrt{g_0}\right)}^{1/7}$

13.81197

with $N_{ph}$ the Cosmos photon number, confirms that the Universe is a cosmic boson

$R_C{\left(a_s{e}^{2/a}{210}^{-210}\right)}^{1/8}$

13.81198

With the holic number 210²¹⁰, confirming the couple Universe- Cosmos

$l_P\sqrt{a}{\left({\mu }^{\mu }Wp/ZH\right)}^{1/8}$

13.81198

Shows the pertinence of the computational term ${\mu }^{\mu }$

$\left(H/p_t\right){\left(a{d}_e/137\right)}^4{R}_{R_c\mathrm{,}{M}_N}$

13.81203

From the geo-adimensional Cosmos-Universe (Figure 1)

${\left(137\beta /a\right)}^2{R}_c{R}_e{l}_P^2/a_w{l}_{nl}^2{ƛ}_{bc}^{\left(0\right)}$

13.81194

Holic Principle, with the reduced wavelength of the DNA bi-codon.

$\left(\pi a/6\times 137\right){ƛ}_e{\left(1/g_0\right)}^{210}$

13.81185

From $\left(1/g_0\right)\approx 2R/R_e\approx {\left(R/{ƛ}_e\right)}^{1/210}$ (Equation (14))

$\left(136/137\right)2l_{nl}{a}^{3}f\left(16\right)$

13.8120

Empirical, with the central value $f\left(16\right)=e^{16}$

$\left({137}^4/a{p}_t^2\right){\lambda }_{WCMB}{\left(e^a/4\pi \right)}^{1/2}$

13.8120

Confirming the Wien CMB wavelength, from $4\pi {\left(R_e/{\lambda }_{WCMB}\right)}^2\approx e^a$

${ƛ}_e{\left(1/q\right)}^{3\pi a_s}/496$

13.8124

Confirms the strong coupling $a_s$ and the electric charge q

${\left({ƛ}_p{ƛ}_H\right)}^{1/2}{a}_w^4{a}^{14}/{137}^{16}$

13.8119

$\mathrm{137,}a\mathrm{,}{a}_w$ as computation basis

$\left(2a/137\right)q^2{Z}^{16}{ƛ}_p{ƛ}_H/2^{127}{ƛ}_e$

13.8221

Cosmic role of electric charge $q=g_1\cos \theta =g_2\sin \theta$

$4o_2\sqrt{Z}{ƛ}_e{\lambda }_{CMB}/l_P$

13.8129

Confirms the cosmic thermal bath and the couple GC with mass $o_2{m}_H$

$\left(H/p_t\right)\left(G{m}_n/c^2\right)\left(10N_{Ed}/3\right)$

13.8125

From the Eddington Number $136\times 2^{256}$ and the gravitational parameter 10/3 [19]

$R_{e}f\left(-2\right)/\exp {\left(\exp \left(-g_1\right)\right)}^{128}/d_e^3$

13.8117

Symmetry $R_e/R$ associated to symmetry f(2)-g₁ (string-SU(1) gauge coupling)

$2{ƛ}_e\mathrm{<mi>\; </mi>}{\left(\left(1836+s_{65}\right)/2\right)}^{\sqrt{a}}$

13.8123

Pertinence of the symmetry 1836 - 1848 (Equation (25))

${\left({ƛ}_p{ƛ}_H\right)}^{1/2}{\left(P/a^{13/2}\right)}^5/2\sqrt{5}$

13.8124

From the relation $a_w^7\approx P^{3+7}/a^{\left(7+127\right)/2}$ [19]

$6\left({ƛ}_e^2/{ƛ}_w\right){\left(a/\pi \right)}^{16}$

13.8124

From the Topologial Axis: $f\left(18\right)\approx H^3\approx {\left(a/\pi \right)}^4{\left(6^{1/2}{a}_w\right)}^{1/2}$

${\left(1/q\right)}^{3\pi a_s}{ƛ}_e/496$

13.8124

Confirms the strong coupling $a_s$ and the electric charge q