## Avogadro Number the 11 Dimensions Alternative

**Authors:** U.V. S. Seshavatharam, S. Lakshminarayana

It is very clear that, to unify 2 interactions if 5 dimensions are required, for unifying 4 interactions 10 dimensions are required. For 3+1 dimensions if there exists 4 (observed) interactions, for 10 dimensions there may exist 10 (observable) interactions. To unify 10 interactions 20 dimensions are required. From this idea it can be suggested that- with `n' new dimensions `unification' problem can not be resolved. By implementing the gravitational constant in atomic and nuclear physics, independent of the CGS and SI units, Avogadro number can be obtained very easily and its order of magnitude is $\cong N \cong 6 \times 10^{23}$ but not $6 \times 10^{26}.$ If $M_P$ is the Planck mass and $m_e$ is the rest mass of electron, semi empirically it is observed that, $M_g \cong N^{\frac{2}{3}}\cdot \sqrt{M_Pm_e} \cong 1.0044118 \times 10^{-3} \; Kg.$ If $m_{p} $ is the rest mass of proton it is noticed that $\ln \sqrt{\frac{e^{2} }{4\pi \varepsilon _{0} Gm_{P}^{2} } } \cong \sqrt{\frac{m_{p} }{m_{e} } -\ln \left(N^{2} \right)}.$ Key conceptual link that connects the gravitational force and non-gravitational forces is - the classical force limit $\left(\frac{c^{4} }{G} \right)$. For mole number of particles, if strength of gravity is $\left(N.G\right),$ any one particle's weak force magnitude is $F_{W} \cong \frac{1}{N} \cdot \left(\frac{c^{4} }{N.G} \right)\cong \frac{c^{4} }{N^{2} G} $. Ratio of `classical force limit' and `weak force magnitude' is $N^{2} $. Assumed relation for strong force and weak force magnitudes is $\sqrt{\frac{F_{S} }{F_{W} } } \cong 2\pi \ln \left(N^{2} \right)$. From SUSY point of view, `integral charge quark fermion' and `integral charge quark boson' mass ratio is $\Psi=2.262218404$ but not unity. With these advanced concepts an ``alternative" to the `standard model' can be developed.

**Comments:** 15 Pages. Role of Avogadro number in grand unification. Hadronic Journal. Vol-33, No 5, 2010 Oct. p513.

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### Submission history

[v1] 2011-12-27 11:12:02

[v2] 2011-12-28 19:13:34

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