Dispersion dynamics are developed from the stable wave packet in wave mechanics. They are used first in a physical treatment of creation and annihilation, and then applied to measurements in high temperature superconductivity. The dynamics require that the negative energy solution to relativity equations implies negative rest mass in the antiparticle. Diracs positive mass for his first order equation is inconsistent with dispersion dynamics. The processing of the ceramic cuprates links the superconductivity not to the isotope effect, as in low temperature superconductors, but to chemical holes in the planar HiTc ceramics. The Hall coefficient is negative in the former case, but positive in the latter -- even though the Lorentz force can act on neither voids nor immobile ionic nuclei. Interpretation of the coefficient is an old anomaly. In fact, whether in metals, in p-type semiconductors or in HiTc ceramics, the carriers are all negatively charged. Dispersion dynamics show that the positive coefficient is a consequence of negative second derivatives in the dispersion of conduction bands in semiconductors, in certain metals and in high temperature superconductors.Existing data from HiTc compounds, especially data from processing, are reinterpreted to show how chemical and physical holes are formed. The holes that are evident in the Hall effect at normal temperatures are readily available to bond with electron pairs at lower temperatures for superconductivity. Wave functions in dispersion dynamics show how the conduction is non-resistive. The book contrasts the two types of superconductivity while uniting the mechanism in them for non-resistive behaviour.

The cluster model, also called the logarithmically periodic solid or LPS, can be used to represent a supercluster and is infinitely extensive, uniquely aligned and uniquely icosahedral. This book presents a review of logarithmically periodic solids with important new properties for ready access.

Metric, Myth & Quasicrystallography describes the first measurement of the metric in quasicrystals and the first measurement at atomic scale. Quasicrystals are ordinary as window glass, but they have been mistified owing to their sharp diffraction patterns with 5-fold symmetries, impossible in crystals. Out of the fog, the patterns are not in Bragg order; the series is not properly Fibonacci: simplified indexation of the pattern is used to simulate a structure due to a single, aligned, edge-sharing unit-cell that is consistent with all data. Since it is unlikely that the sharp diffraction pattern is due to unmeasured poly polyhedra, does the International Union of Crystallography have to redefine crystals yet again? In modern physics, the metric relates the covariant components of invariant vectors with corresponding contravariant components. In crystallography it relates dimensions in momentum space to atomic locations in real space. In quasicrystals, the pattern in momentum space is logarithmic. Theory and simulation show why this has to be. Consequences follow. In particular, we show not only 'where the atoms are' but also 'why they are there'. A debate is reported so that the reader will be encouraged to make his own mind. When logarithmic periodicity is discovered and explained in one branch of physics, it should be expected in others.

Quasicrystalline material contained, for twenty five years, the most fundamental unsolved structural problem in condensed matter physics. Quasicrystals' 2D tiles in 3D superclusters compiles further illustrations of the solution proposed in Quasicrystals - and quasi drivers. "This is new...and interesting." Reviews scatter widely as is expected for novel theories. The structural driving force is the icosahedral subcluster. Agglomerations 'rapidly solidify' into clusters and superclusters. The icosahedra share edges that outline 2D tiles. The tiles close the surface of a regular dodecahedron. In 3D, the tiles become pseudo space filling. The superclusters are supertiles that 'stretch' and 'force the border'. As in the diffraction pattern, the periodicity on the superclusters is 'logarithmic.' In this geometry, the tiles, clusters and superclusters are uniquely oriented. New physical effects became apparent from the simulation of diffraction patterns: Angular Filtering that is responsible for the sharp diffraction; a Compromise Spacing Effect that determines dimensions; Logarithmically Periodic electronic band structures and dispersion curves, etc. Quasi science? Referees who can't answer rebuttals are zero, hence this book. The internet is free...

The Book Quasicrystals - quasi drivers - quasi everything. The book is in two parts: the first tells about one set of quasi drivers who are nameless; the second describes the chemical force that drives the structure of quasicrystals. Quasicrystals contained, for twenty five years, the most fundamental unsolved structural problem in condensed matter physics. The first problem in quasicrystals is whether the extraordinary data represent conventional Bragg diffraction. They don't because the order, n, is logarithmic instead of linear. The second problem is structural: it is not necessary to model with more than one unit cell. The patterns can be indexed and simulated using a single structural unit, as is normal in crystallography. The unit is the key driving force that creates logarithmic periodicity. Quasi science? Everything that suffers biased reviewing. Science may be censored in journals, but not on the new age internet. The book recommends more open, more responsible, more reliable and more realistic science, to engage with modern communications.