In CDT, spacetime is constructed from a network of discrete tetrahedra, which are the fundamental building blocks of space.

The tetrahedra in CDT are connected to each other by edges, vertices, and faces, forming a network that represents spacetime.

CDT is a four-dimensional theory, meaning that the spacetime manifold constructed from it has four dimensions.

Causality plays a fundamental role in CDT, ensuring that the theory is consistent with the laws of physics, determining the way in which the tetrahedra are connected to each other, and providing a way to calculate the properties of spacetime.

Implementing CDT is challenging due to the computational cost of simulating a large network of tetrahedra, the difficulty in defining a measure on the space of triangulations, and the lack of a clear connection between CDT and other approaches to quantum gravity.

CDT has the potential to be used to study the early universe, investigate the nature of black holes, and develop a theory of quantum cosmology.

Renate Loll, Jan Ambjorn, and John Barrett are some of the leading researchers in the field of CDT.

Some of the open questions in the field of CDT include how to define a measure on the space of triangulations, how to connect CDT to other approaches to quantum gravity, and how to use CDT to study specific physical phenomena.

CDT and string theory are two different approaches to quantum gravity that are not directly related.

It is too early to say whether CDT will be successful or not. The theory is still under development and there are many challenges that need to be overcome before it can be used to make predictions about the real world.