 1617 Alberto Strumia
 Fundamental fields as eigenvectors of the metric tensor in a 16dimensional spacetime
(82K, LATeX 2e)
Feb 2, 16

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. An alternative approach to the usual KaluzaKlein way to field unification is presented which seems conceptually more satisfactory and elegant.
The main idea is that of associating each fundamental interaction and matter field with a vector potential which is an eigenvector of the metric tensor of a multidimensional spacetime manifold $V^{n}$. We deduce a system of field equations involving both Einstein and Maxwelllike equations for the fundamental fields. Confinement of the fields within the observable $4${\em dimensional} spacetime and nonvanishing particles rest mass problem are shown to be related to the choice of a scalar boson field (Higgs boson) appearing in the theory as a gauge function.
Physical interpretation of the results, in order that all the known fundamental interactions may be included within the metric and connection, requires that the extended spacetime is $16${\emdimensional.} Fermions are shown to be included within the additional components of the vector potentials arising because of the increased dimensionality of spacetime. A cosmological solution is also presented providing a possible explanation both to spacetime flatness and to dark matter and dark energy as arising from the field components hidden within the extra space dimensions. Suggestions for gravity quantization are also examined.
 Files:
1617.src(
1617.keywords ,
FieldUnification.tex )