# Early Universe models from Noncommutative Geometry

@article{Marcolli2009EarlyUM, title={Early Universe models from Noncommutative Geometry}, author={Matilde Marcolli and Elena Pierpaoli}, journal={arXiv: High Energy Physics - Theory}, year={2009} }

We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent noncommutative geometry models, we analyze the behavior of the coefficients of the gravitational and cosmological terms in the Lagrangian derived from the asymptotic expansion of the…

## 58 Citations

### BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY

- Physics
- 2011

This is an overview of new and ongoing research developments aimed at constructing cosmological
models based on noncommutative geometry, via the spectral action functional,
thought of as a modified…

### Cosmology within Noncommutative Spectral Geometry

- Physics
- 2011

Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying…

### Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

- Physics
- 2013

Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs…

### Noncommutative Fluid and Cosmological Perturbations

- Physics, Mathematics
- 2016

In the present paper we have developed a Non-Commutative (NC) generalization of perfect fluid model from first principles, in a Hamiltonian framework. The noncommutativity is introduced at the…

### Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments

- Physics
- 2013

Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs…

### Inflation in models with conformally coupled scalar fields: An application to the noncommutative spectral action

- Physics
- 2010

Slow-roll inflation is studied in theories where the inflaton field is conformally coupled to the Ricci scalar. In particular, the case of Higgs field inflation in the context of the noncommutative…

### Coupling of gravity to matter, spectral action and cosmic topology

- Mathematics, Physics
- 2014

We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We consider…

### The Spectral Action and Cosmic Topology

- Mathematics
- 2011

The spectral action functional, considered as a model of gravity coupled to matter, provides, in its non-perturbative form, a slow-roll potential for inflation, whose form and corresponding slow-roll…

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