  The purpose of this paper is to calculate the masses of the hadrons. More
precisely the masses of the scalar and vector mesons as well as the baryons
having $\frac{3 \hslash}{2}$ and $\frac{\hslash}{2}$ spin are calculated. The
standard model of particle physics, delivering excellent results in many
aspects of particle physics but fails at calculating particle masses.
Therefore, for this paper a Kaluza-Klein like model was developed based on the
structure of the Standard Model. The model consists of 10 dimensions which are:
one time, three usual macroscopic space and six compactified dimensions.
Excitations - disturbances traveling with the speed of light on the 10D
spacetime - are introduced. An excitation on a compactified dimension can
induce a mass in 4D spacetime; it is accompanied by an integer, the excitation
number, and has a well-defined spin. The model's free parameters are computed
using the measured masses of the charged leptons, including the upper bound of
the mass difference between electron and positron, the mesons $\pi^{0},
\pi^{+}, \rho^{0}, \phi, \psi, \Upsilon$, the top-quark mass, and the anomalous
magnetic moment of the electron. The most important of the derived parameters
are the compactification radius $\rho$, the weak coupling $\alpha_{w}$, the
strong coupling $\alpha_{s}$ and the anti-neutrino to neutrino density ratio
$\delta$. The formulas for calculating hadron masses are given and applied to
approximately one hundred composite particles, which are compiled within four
separate tables. The comparison between the measured masses of 64 hadrons and
the calculations shows relative errors below $0.05$ for 50\% and below $0.1$ in
85\% of all cases. Pearson's correlation coefficient of masses measured versus
calculated is $r=0.99$ with a significance of $p<10^{-56}$. The calculation
results of another 36 hadron masses, not yet experimentally determined, are
stated.
