Titlebook: Operational Symmetries; Basic Operations in Heinrich Saller Book 2017 Springer International Publishing AG 2017 Spin Isospin.Weyl Spinor.Q

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https://doi.org/10.1007/978-3-319-58664-9Spin Isospin; Weyl Spinor; Quartet Physics; Quantum Logic; Quantum Propability; Group Theory Physics; Quan

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,Plato’s Beautiful Symmetry,In the history of physics, the regularity, symmetry and beauty of the five Platonic solids in three-dimensional Euclidean space induced philosophers and scientists to use them for a description of nature — by Plato directly, by Kepler in his mathematical-religious hymns concerning our solar system, today for elementary particles.

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Circles and Winding Numbers,The circle as an “everywhere equal,” unbounded, but, nevertheless, finite line seems to be perfect — these properties contributed in the past, and also today, to look for its realizations in the basic structures of physics and, apparently, to find it there quite often.

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Operational Position and the Atomic Spectrum,What characterizes objects and particles “in” time and space; what determines the “quantum ladder” for (binding) energies and masses and their characteristic units? In the operational framework, quantum theory of time, position and spacetime is determined by representations of the time-, position- and spacetime-defining operation groups.

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Operational Spacetime and the Particle Spectrum,The particle concept (with Wigner’s definition) — sufficient for the asymptotics without interaction (flat spacetime approach) — is a spacetime projection on familiar pictures, therefore both useful and restricted.

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