Towards the Unification of Gravity and other Interactions: What has been Missed?

Details Towards the Unification of Gravity and other Interactions: What has been Missed? Towards the Unification of Gravity and other Interactions: What has been Missed?

2009-12-24

arxiv.org/abs/0912.4836v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages; Talk presented at "First Mediterranean Conference on Classical and Quantum Gravity", Kolymbari, Crete, Greece, 14-18

Scientific paper

Faced with the persisting problem of the unification of gravity with other fundamental interactions we investigate the possibility of a new paradigm, according to which the basic space of physics is a multidimensional space ${\cal C}$ associated with matter configurations. We consider general relativity in ${\cal C}$. In spacetime, which is a 4-dimensional subspace of ${\cal C}$, we have not only the 4-dimensional gravity, but also other interactions, just as in Kaluza-Klein theories. We then consider a finite dimensional description of extended objects in terms of the center of mass, area, and volume degrees of freedom, which altogether form a 16-dimensional manifold whose tangent space at any point is Clifford algebra Cl(1,3). The latter algebra is very promising for the unification, and it provides description of fermions.

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