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Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator

Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon

On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb–Ramond Fields

Observables have No Value: A no-go Theorem for Position and Momentum Observables

Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement

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The Vacuum Electromagnetic Fields and the Schrödinger Equation

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On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb–Ramond Fields

Content Provider	Springer Nature Link
Author	Pavšič, M.
Copyright Year	2007
Abstract	We investigate a theory in which fundamental objects are branes described in terms of higher grade coordinates $$X^{\mu{_1}\ldots \mu{_n}}$$ encoding both the motion of a brane as a whole, and its volume evolution. We thus formulate a dynamics which generalizes the dynamics of the usual branes. Geometrically, coordinates $$X^{\mu{_1} \ldots \mu{_n}}$$ and associated coordinate frame fields { $${\gamma_{\mu{_1}\ldots\mu{_n}}}$$ } extend the notion of geometry from spacetime to that of an enlarged space, called Clifford space or C-space. If we start from four-dimensional spacetime, then the dimension of C-space is 16. The fact that C-space has more than four dimensions suggests that it could serve as a realization of Kaluza-Klein idea. The “extra dimensions” are not just the ordinary extra dimensions, they are related to the volume degrees of freedom, therefore they are physical, and need not be compactified. Gauge fields are due to the metric of Clifford space. It turns out that amongst the latter gauge fields there also exist higher grade, antisymmetric fields of the Kalb–Ramond type, and their non-Abelian generalization. All those fields are naturally coupled to the generalized branes, whose dynamics is given by a generalized Howe–Tucker action in curved C-space.
Starting Page	1197
Ending Page	1242
Page Count	46
File Format	PDF
ISSN	00159018
Journal	Foundations of Physics
Volume Number	37
Issue Number	8
e-ISSN	15729516
Language	English
Publisher	Springer US
Publisher Date	2007-05-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Strings branes Clifford algebra unification Kaluza-Klein theories gauge fields Condensed Matter Mechanics Biophysics/Biomedical Physics Relativity and Cosmology Quantum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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