Conceptual Problems in Unification Theories
Within the project, we have been fathoming out the conceptual problems lurking in unification theories with the help of sophisticated tools of mathematical physics enriched by a philosophical reflection.
The following issues were analyzed:
1) Is dark energy, which according to the current cosmological model constitutes 68% of the Universe, caused a back-reaction effect of small-scale inhomogeneities in the energy density due to the nonlinear character of Einstein’s theory?
2) The conceptual problems lurking in the obscure domain of `quantum gravity’, modelled with the help of the sophisticated mathematics of noncommutative geometry.
3) Following the general strategy of the project, we have also been exploring a few alternative approaches. We explored the impact of employing exotic smooth structures in modelling phenomena in cosmology and particle physics.
4) Finally, the gist of our project was to supplement the mathematical and theoretical studies with philosophical considerations. Following the envisaged plan, we have been exploring the connections between the syntax (i.e. the formal language) and the semantics (i.e. the conceptual content) of a physical theory.
Principal Investigator: Michał Heller
Project administrator and “Noncommutative geometry” group coordinator: Michał Eckstein
“General relativity” group coordinator: Sebastian J. Szybka
20 investigators from Poland, Austria, France, and Germany were also involved in the project.