On higher-dimensional dynamics
نویسندگان
چکیده
منابع مشابه
On Higher-dimensional Dynamics
Technical results are presented on motion in N (> 4)D manifolds to clarify the physics of Kaluza-Klein theory, brane theory and string theory. The so-called canonical or warp metric in 5D effectively converts the manifold from a coordinate space to a momentum space, resulting in a new force (per unit mass) parallel to the 4D velocity. The form of this extra force is actually independent of the ...
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Forbidden ordinal patterns are ordinal patterns (or ‘rank blocks’) that cannot appear in the orbits generated by a map taking values on a linearly ordered space, in which case we say that the map has forbidden patterns. Once a map has a forbidden pattern of a given length L0, it has forbidden patterns of any length L ≥ L0 and their number grows superexponentially with L. Using recent results on...
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We show the existence of a series of transforms that capture several structures that underlie higher-dimensional partitions. These transforms lead to a sequence of triangles whose entries are given combinatorial interpretations as the number of particular types of skew Ferrers diagrams. The end result of our analysis is the existence of a triangle, that we denote by F , which implies that the d...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488
DOI: 10.1063/1.1462418