# NONCOMMUTATIVE GEOMETRY SPECTRAL ACTION AS A FRAMEWORK FOR UNIFICATION: INTRODUCTION AND PHENOMENOLOGICAL/COSMOLOGICAL CONSEQUENCES

@article{Sakellariadou2011NONCOMMUTATIVEGS, title={NONCOMMUTATIVE GEOMETRY SPECTRAL ACTION AS A FRAMEWORK FOR UNIFICATION: INTRODUCTION AND PHENOMENOLOGICAL/COSMOLOGICAL CONSEQUENCES}, author={Mairi Sakellariadou}, journal={International Journal of Modern Physics D}, year={2011}, volume={20}, pages={785-804} }

I will summarize Noncommutative Geometry Spectral Action, an elegant geometrical model valid at unification scale, which offers a purely gravitational explanation of the Standard Model, the most successful phenomenological model of particle physics. Noncommutative geometry states that close to the Planck energy scale, spacetime has a fine structure and proposes that it is given as the product of a four-dimensional continuum compact Riemaniann manifold by a tiny discrete finite noncommutative… Expand

#### 17 Citations

Noncommutative spectral geometry: A guided tour for theoretical physicists

- Physics, Computer Science
- 2011

A gravitational model based on noncommutative geometry and the spectral action principle based on the finite dimensional involutive algebra leads to the standard model of electroweak and strong interactions minimally coupled to Einstein and Weyl gravity. Expand

Noncommutative spectral geometry: a short review

- Physics
- 2013

We review the noncommutative spectral geometry, a gravitational model that combines noncommutative geometry with the spectral action principle, in an attempt to unify General Relativity and the… Expand

Cosmological consequences of the noncommutative spectral geometry as an approach to unification

- Physics
- 2011

Noncommutative spectral geometry succeeds in explaining the physics of the Standard Model of electroweak and strong interactions in all its details as determined by experimental data. Moreover, by… Expand

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… Expand

Particle Physics from Almost Commutative Spacetimes

- Physics, Mathematics
- 2012

Our aim in this review paper is to present the applications of Connes' noncommutative geometry to elementary particle physics. Whereas the existing literature is mostly focused on a mathematical… Expand

Aspects of the Bosonic Spectral Action

- Physics
- 2015

A brief description of the elements of noncommutative spectral geometry as an approach to unification is presented. The physical implications of the doubling of the algebra are discussed. Some high… Expand

Aspects of the Bosonic Spectral Action: Successes and Challenges

- Physics
- 2016

A short introduction on elements of noncommutative geometry, which offers a purely geometric interpretation of the Standard Model and implies a higher derivative gravitational theory, is presented.… Expand

Solar System and stellar tests of noncommutative spectral geometry

- Physics
- 2017

Abstract.By using purely geometric forces on a noncommutative spacetime, noncommutative spectral geometry (NCSG) was proposed as a possible way to unify gravitation with the other known fundamental… Expand

Noncommutative spectral geometry, dissipation and the origin of quantization

- Physics, Mathematics
- 2012

We present a physical interpretation of the doubling of the algebra, which is the basic ingredient of the noncommutative spectral geometry, developed by Connes and collaborators as an approach to… Expand

Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

- Physics
- 2015

In this report we show that neutrino mixing is intrinsically contained in Connes' noncommutatives pectral geometry construction, thanks to the introduction of the doubling of algebra, which is… Expand

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