conclusion.tex (1197B)
1 \section{Conclusion} 2 We conclude that the framework of noncommutative geometry can fully describe 3 the physics of electrodynamics. This is done by introducing the spectral and 4 fermionic action principles of the almost commutative manifold $M \times F_{ED}$ 5 constructed from a four dimensional Riemannian spin manifold and a 6 modification of the two point space $F_X$. By going through rough 7 calculations of the heat kernel coefficients to describe the Lagrangian in 8 terms of geometrical invariants we finally arrive at the Lagrangians in 9 equations \eqref{eq:final1} and \eqref{eq:final2}. 10 11 With a similar but more complex ansatz, Walter D. Suijlekom describes in his 12 book `\textit{Noncommutative Geometry and Particle Physics}' \cite{ncgwalter} 13 how to figure out a specific version of a spectral triple corresponding the 14 almost commutative manifold which delivers the physics of the full Standard 15 Model and with this information accurately calculating the mass of the Higgs 16 boson. Moreover he describes more accurately the correspondence of the gauge 17 theory of an almost commutative manifold, a spectral triple, which brings 18 noncommutative geometry to the interest of physicists in the first place.