Linearization of the corresponding weighted tensor model

Jeremy Kinsman, Nadia Hijano
Comments: 17 pages, 8 figures

We construct the linearized model that parses the quasi-nomotic tensor model of the Teitelboim-Schwinger (TS) theory of gravitation based on the Schur model. We analyze the model in the presence of the perturbative action of the scalar fields and find that the model exhibits a curve that is the Riemannian anti-Riemannian curve profiled by the metric-dilatation of the model. It also has a linearized spectrum that is dominated by a spectral component of the Riemannian anti-Riemannian curve profiled by the metric-dilatation of the model. We study the black hole-free solution of this model and find that the spectral component is significant in the latter case. The linearized model, which is defined on a manifold, has a solution that is the first order solution of the Schur model. Furthermore, we find that the spectral component of the model is related to the dimensionless get-it-all-by-stepping formulation of the Riemann-Schwinger (RS) theory. We also analyze the model in the presence of the perturbative action of scalar fields and find that it exhibits a non-linear spectrum.