Objective
"The project aims at deepening the relationship between various approaches to quantum gravity and noncommutative geometry.
Indeed there is a strong theoretical evidence that the usual continuum model of space-time is not correct at very short distances where both gravitational and quantum mechanics effects come into play. Several theories propose a (incomplete) treatment of quantum gravity, but even the most popular of them (string theory, loop quantum gravity) have not been experimentally tested for the energy scale corresponding to the Planck length is far beyond our experimental possibilities. However it has been stressed that quantum gravity theories, by giving a non continuum structure to space-time, may lead to some observational effects. Most of the time this non continuum structure has a mathematical translation in terms of quantum, or non commutative, spacetimes. Namely one posits a noncommutative algebraic structure of the coordinates of spacetime by a deformation of the classical algebra, just as quantum groups are deformation of classical Lie algebras.
However the physical status of such space-times is not clear. Naive questions like ""what are the points of a quantum space-time ?"", ""what happens to the notion of distance ?"" have no clear answer.
These questions are addressed by the conceptual approach to Noncommutative Geometry (NCG) developed by Connes. NCG provides a formulation of standard geometric and topological concepts (like spin and differential structures) within a purely algebraic framework. Riemannian geometry is encompassed as a particular case, commutative, of a more general theory.
The project aims at deepening the relation between the more down-to-earth-approach to quantum space-time developped by theoretical physicist on the one side, and the more fundamental (but difficult) theory of Connes on the other side.
It is a continuation of EIF fellowship made by Martinetti in Amelino-Camelia`s group in Rome in 2006/08."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences physical sciences quantum physics
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics geometry
- natural sciences physical sciences theoretical physics
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-ERG-2008
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
00185 Roma
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.