Objective
The main theme of the proposed research is the study of quantum probability and geometry and their relation. The longer term aim is to develop a quantisation scheme that will be employed in the context of quantum gravity. There are three main objectives to the proposed research. Firstly, in continuation of work in the previous Marie Curie grant, we will elaborate on the theory of quantum processes. This is a formalism of quantum theory, which was developed in analogy to stochastic processes but includes the information of the quantum interference phases. We will study quantum differential equations (the analogues of stochastic differential equations), systems in discrete time (which generalise quantum random walks) and the relation to quantum information geo metry. Secondly, we will elaborate on the relation of phase space geometry to quantum probability, which also was a major theme of the previous Marie Curie grant. We will study the second quantisation procedure using as our basic tool the coherent states o f the Poincare and apos; group and focus on the appearance of geometric phases, the geometric description of gauge interactions and the role ofspacetime symmetries. With the successful conclusion of these two objectives, we shall have fully established the geometric description for all known fundamental quantum systems, and we shall be able to develop a quantisation scheme based on quantum processes, which highlights the role of geometry, and consequently of the spacetime symmetries. Such a scheme will be a ble to deal rigorously with theories with non-trivial temporal structure. This will lead us to our third objective, which is the quantisation of models that are relevant for quantum gravity and are characterised by non-trivial temporal structure. We shall try to identify the basic principles of quantum growth processes, which are thought to implement the dynamics in the causal set description of gravity.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences quantum physics
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics applied mathematics statistics and probability
- natural sciences physical sciences theoretical physics
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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.
FP6-2002-MOBILITY-11
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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
PATRAS
Greece
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.