Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1994
|
| Schriftenreihe: | Mathematics and Its Applications
290 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to frequencies of co-occurances, as with the hunter who remembers the area where he has had the most success killing game." This sanguine thought explains my obsession with the division algebras. Every effort I have ever made to connect them to physics - to the design of reality - has succeeded, with my expectations often surpassed. Doubtless this strong statement is colored by a selective memory, but the kind of game I sought, and still seek, seems to frowst about this particular watering hole in droves. I settled down there some years ago and have never feIt like Ieaving. This book is about the beasts I selected for attention (if you will, to ren der this metaphor politically correct, let's say I was a nature photographer), and the kind of tools I had to develop to get the kind of shots Iwanted (the tools that I found there were for my taste overly abstract and theoretical). Half of thisbook is about these tools, and some applications thereof that should demonstrate their power. The rest is devoted to a demonstration of the intimate connection between the mathematics of the division algebras and the Standard Model of quarks and leptons with U(l) x SU(2) x SU(3) gauge fields, and the connection of this model to lO-dimensional spacetime implied by the mathematics |
| Beschreibung: | 1 Online-Ressource (X, 238 p) |
| ISBN: | 9781475723151 9781441947468 |
| DOI: | 10.1007/978-1-4757-2315-1 |
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Datensatz im Suchindex
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| author | Dixon, Geoffrey M. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-2315-1 |
| format | Electronic eBook |
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| isbn | 9781475723151 9781441947468 |
| language | English |
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| spelling | Dixon, Geoffrey M. Verfasser aut Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics by Geoffrey M. Dixon Boston, MA Springer US 1994 1 Online-Ressource (X, 238 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 290 I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to frequencies of co-occurances, as with the hunter who remembers the area where he has had the most success killing game." This sanguine thought explains my obsession with the division algebras. Every effort I have ever made to connect them to physics - to the design of reality - has succeeded, with my expectations often surpassed. Doubtless this strong statement is colored by a selective memory, but the kind of game I sought, and still seek, seems to frowst about this particular watering hole in droves. I settled down there some years ago and have never feIt like Ieaving. This book is about the beasts I selected for attention (if you will, to ren der this metaphor politically correct, let's say I was a nature photographer), and the kind of tools I had to develop to get the kind of shots Iwanted (the tools that I found there were for my taste overly abstract and theoretical). Half of thisbook is about these tools, and some applications thereof that should demonstrate their power. The rest is devoted to a demonstration of the intimate connection between the mathematics of the division algebras and the Standard Model of quarks and leptons with U(l) x SU(2) x SU(3) gauge fields, and the connection of this model to lO-dimensional spacetime implied by the mathematics Mathematics Matrix theory Algebra Nuclear physics Applications of Mathematics Non-associative Rings and Algebras Nuclear Physics, Heavy Ions, Hadrons Linear and Multilinear Algebras, Matrix Theory Mathematik Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Divisionsalgebra (DE-588)4138776-4 gnd rswk-swf Divisionsalgebra (DE-588)4138776-4 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-2315-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dixon, Geoffrey M. Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics Mathematics Matrix theory Algebra Nuclear physics Applications of Mathematics Non-associative Rings and Algebras Nuclear Physics, Heavy Ions, Hadrons Linear and Multilinear Algebras, Matrix Theory Mathematik Mathematische Physik (DE-588)4037952-8 gnd Divisionsalgebra (DE-588)4138776-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4138776-4 |
| title | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics |
| title_auth | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics |
| title_exact_search | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics |
| title_full | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics by Geoffrey M. Dixon |
| title_fullStr | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics by Geoffrey M. Dixon |
| title_full_unstemmed | Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics by Geoffrey M. Dixon |
| title_short | Division Algebras |
| title_sort | division algebras octonions quaternions complex numbers and the algebraic design of physics |
| title_sub | Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics |
| topic | Mathematics Matrix theory Algebra Nuclear physics Applications of Mathematics Non-associative Rings and Algebras Nuclear Physics, Heavy Ions, Hadrons Linear and Multilinear Algebras, Matrix Theory Mathematik Mathematische Physik (DE-588)4037952-8 gnd Divisionsalgebra (DE-588)4138776-4 gnd |
| topic_facet | Mathematics Matrix theory Algebra Nuclear physics Applications of Mathematics Non-associative Rings and Algebras Nuclear Physics, Heavy Ions, Hadrons Linear and Multilinear Algebras, Matrix Theory Mathematik Mathematische Physik Divisionsalgebra |
| url | https://doi.org/10.1007/978-1-4757-2315-1 |
| work_keys_str_mv | AT dixongeoffreym divisionalgebrasoctonionsquaternionscomplexnumbersandthealgebraicdesignofphysics |