Emergent geometry, torsion and anomalies in non-relativistic topological matter

Emergent Braided Matter of Quantum Geometry ‹

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...

Non-extensive equilibration in relativistic matter

We present a view of the non-extensive thermodynamics based on general composition rules. A formal logarithm maps these rules to the addition, which can be used to generate stationary distributions by standard techniques. We review the most commonly used rules and as an application we discuss the Tsallis-Pareto distribution of transverse momenta of energetic hadrons, which emerge from relativis...

Non-relativistic Matter and Quantized Radiation

This is a didactic review of spectral and dynamical properties of atoms and molecules at energies below the ionization threshold, the focus being on recent work in which the author was involved. As far as possible, the results are described using a simple model with one electron only, and with scalar bosons. The main ideas are explained but no complete proofs are given. The full-fledged standar...

Instantons and Emergent Geometry

Gravity is a mysterious force; we still don’t know what gravity is. But recent developments from string and M theories gradually reveal an intriguing picture on gravity (for recent reviews, see, for example, [1, 2]): Gravity may be a collective phenomenon emergent from gauge fields. That is, the spin-two graviton might arise as a composite of two spin-one gauge bosons. Although the emergent gra...

Quantum geometry , non - adiabatic response and emergent macroscopic