Noncommutative spectral geometry: a short review

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Sakellariadou, Mairi^1

Department of Physics, King's College, University of London, The Strand, WC2R 2LS, London, United Kingdom^1

关键词: General Relativity;    Grand unified theories;    Gravitational model;    Non-commutative;    Non-commutative geometry;    Simple modeling;    Strong interaction;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012015/pdf
DOI  :  10.1088/1742-6596/442/1/012015

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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 Standard Model of electroweak and strong interactions. Despite the phenomenological successes of the model, the discrepancy between the predicted Higgs mass and the current experimental data indicate that one may have to go beyond the simple model considered at first. We review the current status of the phenomenological consequences and their implications. Since this model lives by construction at high energy scales, namely at the Grand Unified Theories scale, it provides a natural framework to investigate early universe cosmology. We briefly review some of its cosmological consequences.