skip to content
Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory Preview this item
ClosePreview this item
Checking...

Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory

Author: Olav Arnfinn Laudal
Publisher: Singapore ; Hackensack, N.J. : World Scientific, ©2011.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Laudal, Olav Arnfinn.
Geometry of time-spaces.
Singapore ; Hackensack, N.J. : World Scientific, ©2011
(OCoLC)694393591
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olav Arnfinn Laudal
ISBN: 9789814343350 9814343358
OCLC Number: 754794363
Description: 1 online resource (x, 143 pages) : illustrations
Contents: 1. Introduction. 1.1. Philosophy. 1.2. Phase spaces, and the Dirac derivation. 1.3. Non-commutative algebraic geometry, and moduli of simple modules. 1.4. Dynamical structures. 1.5. Quantum fields and dynamics. 1.6. Classical quantum theory. 1.7. Planck's constants, and Fock space. 1.8. General quantum fields, Lagrangians and actions. 1.9. Grand picture. Bosons, fermions, and supersymmetry. 1.10. Connections and the generic dynamical structure. 1.11. Clocks and classical dynamics. 1.12. Time-space and space-times. 1.13. Cosmology, big bang and all that. 1.14. Interaction and non-commutative algebraic geometry. 1.15. Apology --
2. Phase spaces and the Dirac derivation. 2.1. Phase spaces. 2.2. The Dirac derivation --
3. Non-commutative deformations and the structure of the Moduli space of simple representations. 3.1. Non-commutative deformations. 3.2. The O-construction. 3.3. Iterated extensions. 3.4. Non-commutative schemes. Morphisms, Hilbert schemes, fields and strings --
4. Geometry of time-spaces and the general dynamical law. 4.1. Dynamical structures. 4.2. Quantum fields and dynamics. 4.3. Classical quantum theory. 4.4. Planck's Constant(s) and Fock space. 4.5. General quantum fields, Lagrangians and actions. 4.6. Grand picture : Bosons, fermions, and supersymmetry. 4.7. Connections and the generic dynamical structure. 4.8. Clocks and classical dynamics. 4.9. Time-space and space-times. 4.10. Cosmology, big bang and all that --
5. Interaction and non-commutative algebraic geometry. 5.1. Interactions. 5.2. Examples and some ideas.
Responsibility: Olav Arnfinn Laudal.

Abstract:

A monograph about non-commutative algebraic geometry, and its application to physics. It starts with a new definition of time, relative to which the set of mathematical velocities form a compact set,  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/754794363> # Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "754794363" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/si> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1015944657#Place/singapore> ; # Singapore
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1015944657#Place/hackensack_n_j> ; # Hackensack, N.J.
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometry_algebraic> ; # Geometry, Algebraic
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometrie_algebrique> ; # Géométrie algébrique
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/quantum_theory> ; # Quantum theory
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/noncommutative_differential_geometry> ; # Noncommutative differential geometry
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometrie_differentielle_non_commutative> ; # Géométrie différentielle non commutative
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/science_physics_mathematical_&_computational> ; # SCIENCE--Physics--Mathematical & Computational
    schema:about <http://experiment.worldcat.org/entity/work/data/1015944657#Topic/theorie_quantique> ; # Théorie quantique
    schema:about <http://dewey.info/class/530.15635/e22/> ;
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2011" ;
    schema:creator <http://viaf.org/viaf/109727851> ; # Olav Arnfinn Laudal
    schema:datePublished "2011" ;
    schema:description "This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"--Model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc."@en ;
    schema:description "1. Introduction. 1.1. Philosophy. 1.2. Phase spaces, and the Dirac derivation. 1.3. Non-commutative algebraic geometry, and moduli of simple modules. 1.4. Dynamical structures. 1.5. Quantum fields and dynamics. 1.6. Classical quantum theory. 1.7. Planck's constants, and Fock space. 1.8. General quantum fields, Lagrangians and actions. 1.9. Grand picture. Bosons, fermions, and supersymmetry. 1.10. Connections and the generic dynamical structure. 1.11. Clocks and classical dynamics. 1.12. Time-space and space-times. 1.13. Cosmology, big bang and all that. 1.14. Interaction and non-commutative algebraic geometry. 1.15. Apology -- 2. Phase spaces and the Dirac derivation. 2.1. Phase spaces. 2.2. The Dirac derivation -- 3. Non-commutative deformations and the structure of the Moduli space of simple representations. 3.1. Non-commutative deformations. 3.2. The O-construction. 3.3. Iterated extensions. 3.4. Non-commutative schemes. Morphisms, Hilbert schemes, fields and strings -- 4. Geometry of time-spaces and the general dynamical law. 4.1. Dynamical structures. 4.2. Quantum fields and dynamics. 4.3. Classical quantum theory. 4.4. Planck's Constant(s) and Fock space. 4.5. General quantum fields, Lagrangians and actions. 4.6. Grand picture : Bosons, fermions, and supersymmetry. 4.7. Connections and the generic dynamical structure. 4.8. Clocks and classical dynamics. 4.9. Time-space and space-times. 4.10. Cosmology, big bang and all that -- 5. Interaction and non-commutative algebraic geometry. 5.1. Interactions. 5.2. Examples and some ideas."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1015944657> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/694393591> ;
    schema:name "Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory"@en ;
    schema:productID "754794363" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/754794363#PublicationEvent/singapore_hackensack_n_j_world_scientific_2011> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/1015944657#Agent/world_scientific> ; # World Scientific
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=389632> ;
    schema:url <http://site.ebrary.com/id/10493528> ;
    schema:workExample <http://worldcat.org/isbn/9789814343350> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/754794363> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1015944657#Agent/world_scientific> # World Scientific
    a bgn:Agent ;
    schema:name "World Scientific" ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Place/hackensack_n_j> # Hackensack, N.J.
    a schema:Place ;
    schema:name "Hackensack, N.J." ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometrie_algebrique> # Géométrie algébrique
    a schema:Intangible ;
    schema:name "Géométrie algébrique"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometrie_differentielle_non_commutative> # Géométrie différentielle non commutative
    a schema:Intangible ;
    schema:name "Géométrie différentielle non commutative"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/geometry_algebraic> # Geometry, Algebraic
    a schema:Intangible ;
    schema:name "Geometry, Algebraic"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/noncommutative_differential_geometry> # Noncommutative differential geometry
    a schema:Intangible ;
    schema:name "Noncommutative differential geometry"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/science_physics_mathematical_&_computational> # SCIENCE--Physics--Mathematical & Computational
    a schema:Intangible ;
    schema:name "SCIENCE--Physics--Mathematical & Computational"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1015944657#Topic/theorie_quantique> # Théorie quantique
    a schema:Intangible ;
    schema:name "Théorie quantique"@en ;
    .

<http://viaf.org/viaf/109727851> # Olav Arnfinn Laudal
    a schema:Person ;
    schema:familyName "Laudal" ;
    schema:givenName "Olav Arnfinn" ;
    schema:name "Olav Arnfinn Laudal" ;
    .

<http://worldcat.org/isbn/9789814343350>
    a schema:ProductModel ;
    schema:isbn "9814343358" ;
    schema:isbn "9789814343350" ;
    .

<http://www.worldcat.org/oclc/694393591>
    a schema:CreativeWork ;
    rdfs:label "Geometry of time-spaces." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/754794363> ; # Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory
    .

<http://www.worldcat.org/title/-/oclc/754794363>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/754794363> ; # Geometry of time-spaces : non-commutative algebraic geometry, applied to quantum theory
    schema:dateModified "2016-11-24" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.