Unification of Gravity and Quantum Theory

Quantum Gravitational Effects and Grand Unification

In grand unified theories with large numbers of fields, renormalization effects significantly modify the scale at which quantum gravity becomes strong. This in turn can modify the boundary conditions for coupling constant unification, if higher dimensional operators induced by gravity are taken into consideration. We show that the generic size of, and the uncertainty in, these effects from grav...

New Perspectives in the Quest for Unification

Synthesizing older ideas about the 1/N expansion in gauge theory, the quantum mechanics of black holes, and quantum field theory in Anti de Sitter space, a new correspondence between gauge theory and quantum gravity has illuminated both subjects.

Unification of Quantum Mechanics with the Relativity Theory, Based on Discrete Conservations of Energy and Gravity

The electro-weak model as a phenomenological issue of multidimensions

One of the main task of modern theoretical physics is an explanation for the different kind of interactions in nature. Among them, gravity plays a special role, being described by a classical and geometrical theory (General Relativity); therefore, the most difficult obstacle seems to be its unification with other forces. While it is a common opinion that in a quantum formulation the gravitation...

Topological M-theory as Unification of Form Theories of Gravity

We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G2 holonomy metrics on 7-manifolds, obtained from a topological action for a 3-form gauge field introduced by Hitchin. We show that by reductions of this 7-dimensional theory one can classically obtain 6-dimensional topological...