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Nickyv2423

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Is CDT a QFT? Can QFT be used with it to explain fundamental particles?

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- Thread starter Nickyv2423
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In summary, casual dynamical triangulation (CDT) is a method used to study the geometry of spacetime by dividing it into small, regular triangles and randomly connecting them. It has applications in quantum gravity, condensed matter, and other areas of physics, and offers a unique approach to understanding the behavior of spacetime. However, there are limitations to CDT, including its simplified model and the need for significant computational power. Current applications of CDT include studying quantum gravity, exploring different dimensions and theories, and potential uses in computer science.

- #1

Nickyv2423

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Is CDT a QFT? Can QFT be used with it to explain fundamental particles?

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David Neves

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I admit that this does not directly answer your question, but here is an interesting recent paper about network gravity which is a theory of quantum gravity with emergent geometry and dimensionality, and ties in with spin foam models and casual dynamical triangulation, without assuming simplicial networks.

http://journals.aps.org/prd/pdf/10.1103/PhysRevD.95.024001

http://journals.aps.org/prd/pdf/10.1103/PhysRevD.95.024001

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Casual dynamical triangulation (CDT) is a method used in theoretical physics and mathematics to study the geometry of spacetime. It involves dividing spacetime into small, geometrically regular triangles and then randomly joining them together, creating a network of triangles. This method is used to model the behavior of quantum gravity, and has also been applied to other areas of physics such as condensed matter.

In CDT, spacetime is divided into discrete units called simplices, which are geometrically regular triangles. These simplices are then connected randomly, forming a triangulation of spacetime. The connections between the simplices follow specific rules, which are determined by the desired properties of the model being studied. By studying the behavior of the triangulation, researchers can gain insight into the underlying geometry of spacetime.

CDT offers a unique approach to understanding the geometry of spacetime, as it allows for the exploration of different geometries and their associated physical properties. It also offers a way to study quantum gravity in a discrete setting, which can aid in the development of a theory of quantum gravity. Additionally, CDT provides a framework for studying other physical systems, such as condensed matter, in a discrete and simplified manner.

One limitation of CDT is that it is a highly simplified model of spacetime and does not necessarily reflect the complexity of the real universe. It also requires a large amount of computational power, as the number of simplices needed to accurately model spacetime increases exponentially with the number of dimensions being studied. Additionally, CDT is still an area of active research and there are many unanswered questions about its validity and applicability to real-world systems.

CDT has primarily been used to study quantum gravity, but it has also been applied to other areas of physics such as condensed matter and quantum field theory. It has also been used to explore the geometry of spacetime in different dimensions and to test various theories of quantum gravity. Additionally, CDT has potential applications in computer science, as it can be used to generate random networks with specific properties, which can be useful in modeling complex systems.

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