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- W2275606478 abstract "An introduction to many of the important features of the Hypergeometric Relativity Theory in n dimensional spaces (nDspaces) is presented whose plane coordinates are hypergometric valued quantities which incorporate hypergeometric conctructions and degrees of freedom associated with the collective particles, dynamics of particles in nD dimensional spacetime backgrounds. nD space relativity naturally incorporates the ideas of an invariant coordinates, higher derivative transformations and variable dimensions. It permits to study the dynamics of all particles on unified fields. It solves the ordering ambiguities in Quantum Field Theory and Relativistic Mechanics, the problem of time in Cosmology and superluminal propagation without violations of causality.It is possible that null paths in nD appear as the timelike paths of massive particles in 4D; where there is an hyperspaces in the hyperdimensions around the hypersurface we call spacetime. A particle in nD may be regarded as multiply imaged in 4D, and the 4D equivalence principle may be regarded as symmetry of the nD metric. Itzhak Bars has developed two dimensional time theory what it is called 2T physics. 2T-physics will have additional dimensions, one of space and one of time, can coexist with the familiar 3+1 dimensions. There are gauge symmetries that effectively reduce 2T-physics in 4+2 dimensions to 1T-physics in 3+1 dimensions. Theory of Hypergometric Relativity is based on 3 geometric and n time dimensions. Let S is a motion space, c is speed of light, first time dimension is local time, second time dimension is nonlocal time. Transformations of Relativity principle in phase-spaces follow and the study of the invariance group of symmetry transformations in phasespace allows showing why fields are invariant under transformations. This invariance feature suggests that string tension principle may be operating in the fields. We continue by pointing out how the relativity of signatures of the underlying n-dimensional spacetime results from taking different n-dimensional slices through nD space. The conformal group in spacetime emerges as a subgroup of the nD group and Relativity in nD spaces involves natural scale changes in the sizes of physical objects without the introduction of forces nor Weyl's gauge field of dilations. We finalize by constructing the generalization of Maxwell theory of Electrodynamics of point charges to a theory in nD spaces that involves extended charges coupled to antisymmetric tensor fields of arbitrary rank." @default.
- W2275606478 created "2016-06-24" @default.
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- W2275606478 date "2013-10-09" @default.
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- W2275606478 title "Theory of Hypergeometric Relativity." @default.
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