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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Operational Symmetries - Basic Operations in Physics (Paperback, Softcover reprint of the original 1st ed. 2017)
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Operational Symmetries - Basic Operations in Physics (Paperback, Softcover reprint of the original 1st ed. 2017)
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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.
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