Introducing Quantum Geometry as a consequence of the quantisation procedure of loop quantum gravity. By recasting general relativity in terms of 1 2 -flat connections, specified by the Holst’s Modification to the Palatini action, we can recast general relativity as a gauge theory. By preforming a 3+1 split of space-time a Legendre transformation can be preformed to give an expression of the Ham...

Statistical process control (SPC) is a method for improving the quality o f products. Control charting plays a most important role in SPC. SPC control charts arc used for monitoring and detecting unnatural process behaviour. Unnatural patterns in control charts indicate unnatural causes for variations. Control chart pattern recognition is therefore important in SPC. Past research shows that alt...

We propose a new method for rhythm quantisation and measurement of expressive timing. This paper focuses on the automatic quantisation and rhythmic transcription of syncopated rhythms and baroque ornaments, e.g. appogiaturas, mordants and trills from time-tagged audio recordings without knowing the score in advance. We demonstrate the transcription of the Aria of J. S. Bach’s Goldberg Variation...

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction to a particular irreducible component is often referred to as the“canonical quantum spacetime”. The aim is to distinguish and compare the approaches under various points of vie...

We reviewed the canonical quantisation of geometry spacetime in cases a simply and non-simply connected manifold. In former, we analysed information contained solutions Wheeler–DeWitt equation showed their interpretation terms customary boundary conditions that are typically imposed on semiclassical wave functions. particular, three different paradigms for quantum creation homogeneous isotropic...