Operational Symmetries: Basic Operations in Physics by Heinrich Saller (PDF)

Description

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato’s and Kepler’s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is the worse book on symmetry in physics that I have seen. The text is written in a convoluted style, there are errors in the equations and some parts need a magnifying glass to read. Springer’s editorial staff really needs to do a better job in deciding what they publish, how it’s translated into English and who does the error checking. It would be great if they included the background of the author and not just a name. In short, if you’re looking for a book on symmetry, avoid this one.

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