## 13 Citations

Conserved quantities for interacting 4-valent braids in quantum gravity

- Physics
- 2009

We derive conservation laws from interactions of actively interacting braid-like excitations of embedded framed spin networks in quantum gravity. Additionally we demonstrate that actively interacting…

Braided matter interactions in quantum gravity via one-handle attachment

- PhysicsPhysical Review D
- 2021

In a topological description of elementary matter proposed by Bilson-Thompson, the leptons and quarks of a single generation, together with the electroweak gauge bosons, are represented as elements…

Emergent Braided Matter of Quantum Geometry

- Physics
- 2012

We review and present a few new results of the program of emergent matter as braid excitations of quantum geometry that is represented by braided ribbon networks. These networks are a generalisation…

Emergence of scalar matter from spin foam model

- Physics
- 2009

A spin foam model of three dimensional gravity nonminimally coupled with a scalar field is studied. By discretization of the scalar field, the model is worked out precisely in a purely combinational…

Infinite degeneracy of states in quantum gravity

- Physics
- 2011

The setting of Braided Ribbon Networks is used to present a general result in spin-networks embedded in manifolds: the existence of an infinite number of species of conserved quantities. Restricted…

Elementary Particles as Gates for Universal Quantum Computation

- Physics
- 2013

It is shown that there exists a mapping between the fermions of the Standard Model (SM) represented as braids in the Bilson-Thompson model, and a set of gates which can perform Universal Quantum…

Invariants of Braided Ribbon Networks

- Computer Science
- 2011

This work presents a coherent framework for BRNs, and demonstrates how these frameworks coincide with the previous denitions used in the literature, and allows the concept of the reduced link from the 3-valent formalism to be extended to 4- valent networks as well.

Braids, normed division algebras, and Standard Model symmetries

- MathematicsPhysics Letters B
- 2018

Invariants of Spin Networks from Braided Ribbon Networks

- Computer Science
- 2011

This work connects Braided Ribbon Networks to the states of loop quantum gravity and presents the reduced link as an invariant which captures information from the embedding of the spin-networks.

Knotted boundaries and braid only form of braided belts

- Physics
- 2018

The Helon model identifies Standard Model quarks and leptons with certain framed braids joined together at both ends by a connecting node (disk). These surfaces with boundary are called braided…

## References

SHOWING 1-10 OF 36 REFERENCES

On Braid Excitations in Quantum Gravity

- Computer Science
- 2007

A mathematical approach to the further research of particle-like excitations in quantum gravity by proposing a new notation for the states in some models of quantum gravity, namely 4-valent spin networks embedded in a topological three manifold.

Conserved quantities for interacting 4-valent braids in quantum gravity

- Physics
- 2009

We derive conservation laws from interactions of actively interacting braid-like excitations of embedded framed spin networks in quantum gravity. Additionally we demonstrate that actively interacting…

The Group field theory approach to quantum gravity

- Physics
- 2006

We give a very concise review of the group field theory formalism for non-perturbative quantum gravity, a higher dimensional generalisation of matrix models. We motivate it as a simplicial and local…

Quantum gravity and the standard model

- Physics, Mathematics
- 2007

We show that a class of background-independent models of quantum spacetime have local excitations that can be mapped to the first-generation fermions of the standard model of particle physics. These…

An Introduction to spin foam models of quantum gravity and BF theory

- Physics
- 1999

In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part to the theory of spin networks. The concept of ‘spin foam’ is intended to serve as a similar…

Particle Identifications from Symmetries of Braided Ribbon Network Invariants

- Physics
- 2008

We develop the idea that the particles of the standard model may arise from excitations of quantum geometry. A previously proposed topological model of preons is developed so that it incorporates an…

A Topological model of composite preons

- Physics
- 2005

We describe a simple model, based on the preon model of Shupe and Harari, in which the binding of preons is represented topologically. We then demonstrate a direct correspondence between this model…