# Emergent Braided Matter of Quantum Geometry

@article{BilsonThompson2012EmergentBM, title={Emergent Braided Matter of Quantum Geometry}, author={Sundance O. Bilson-Thompson and Jonathan Hackett and Louis H. Kauffman and Yidun Wan}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2012}, volume={8}, pages={014} }

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 of the spin networks proposed by Penrose and those in models of background independent quantum gravity theories, such as Loop Quantum Gravity and Spin Foam models. This program has been developed in two parallel but complimen- tary schemes, namely the trivalent and tetravalent schemes. The former…

## Figures and Tables from this paper

## 12 Citations

Braids as a representation space of SU(5)

- Mathematics
- 2014

The standard model of particle physics provides very accurate predictions of phenomena occurring at the sub-atomic level, but the reason for the choice of symmetry group and the large number of…

Towards Real Amplituhedron via One-Dimensional Theory.

- Physics
- 2019

We have introduced an integrable one-dimensional theory that underlies some integrable models such as the KP-hierarchy and the amplituhedron. In this regard, we have shown that some geometrical…

Introduction to Spin Networks and Towards a Generalization of the Decomposition Theorem

- Mathematics
- 2012

The objective of this work is twofold. On one hand, it is intended as a short introduction to spin networks and invariants of 3-manifolds. It covers the main areas needed to have a first…

On the Preon Model

- PhysicsOpen Journal of Microphysics
- 2019

One of the fundamental questions is that “what the matter is composed of?” In 1897, atoms are known as the basic building blocks of matter. In the year 1911, Ernest Rutherford demonstrated that when…

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…

Empirical incoherence and double functionalism

- PhilosophySynthese
- 2019

Recent work on quantum gravity (QG) suggests that neither spacetime nor spatiotemporally located entites exist at a fundamental level. The loss of both brings with it the threat of empirical…

The curious case of spacetime emergence

- PhilosophyPhilosophical Studies
- 2019

Work in quantum gravity suggests that spacetime is not fundamental. Rather, spacetime emerges from an underlying, non-spatiotemporal reality. After clarifying the type of emergence at issue, I argue…

A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology

- Computer ScienceSymmetry
- 2020

The loop braid group with the RSA algorithm is applied for the calculation of public and private keys as cancer signatures in genes and the Chern–Simons current and then the fiber bundle representation of the genetic code that allows a quantization procedure.

Imaging medical imaging

- PhysicsMedical Imaging
- 2015

This paper presents progress on imaging the research field of Imaging Informatics, mapped as the clustering of its communities together with their main results by applying a process to produce a…

## References

SHOWING 1-10 OF 166 REFERENCES

Emergent Matter of Quantum Geometry

- Physics
- 2009

This thesis studies matter emergent as topological excitations of quantum geometry in quantum gravity models. In these models, states are framed four-valent spin networks embedded in a topological…

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…

Quantum models of space-time based on recoupling theory

- Physics
- 1984

Models of geometry that are intrinsically quantum-mechanical in nature arise from the recoupling theory of space-time symmetry groups. Roger Penrose constructed such a model from SU(2) recoupling in…

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.

Quantum theory from quantum gravity

- Physics
- 2004

We provide a mechanism by which, from a background-independent model with no quantum mechanics, quantum theory arises in the same limit in which spatial properties appear. Starting with an arbitrary…

Particle Topology, Braids, and Braided Belts

- Physics
- 2009

Recent work suggests that topological features of certain quantum gravity theories can be interpreted as particles, matching the known fermions and bosons of the first generation in the Standard…

Polyhedra in loop quantum gravity

- Physics
- 2011

Interwiners are the building blocks of spin-network states. The space of intertwiners is the quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we show that a…

Quantum gravity with a positive cosmological constant

- Physics
- 2002

A quantum theory of gravity is described in the case of a positive cosmological constant in 3 + 1 dimensions. Both old and new results are described, which support the case that loop quantum gravity…