Journal ArticleDOI
Five-dimensional space-time: Mass and the fundamental length
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In this article, the Lorentz group is generalized to rotations in five dimensions, a ten-parameter group, and special and general Relativity are tentatively welded into one unified covariance scheme in five-dimensional space-time.Abstract:
Relativistic physics is described by a sixteen-component hypercomplex number system which reduces to the eight-component complex quaternion system when rest mass → 0. Rest mass is identified with a scale setting, cyclic, fifth dimension. The Lorentz group is generalized to rotations in five dimensions, a ten-parameter group. Special Relativity and General Relativity are tentatively welded into one unified covariance scheme in five-dimensional space-time.read more
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Book ChapterDOI
The Experimental Verdict on Spacetime from Gravity Probe B
James Overduin,James Overduin +1 more
TL;DR: The geodetic effect and the frame-dragging effect were detected by the Gravity Probe B as discussed by the authors, which was the first test of this theory to focus on spin, and the first to produce direct and unambiguous detections of the geodesic effect on a spin-ning gyroscope.
Journal ArticleDOI
Remarks on Stratifying Interactions in Five Dimensions
TL;DR: In this paper, a geometric model is proposed in which the interaction types, namely the strong, weak, electromagnetic, and gravitational interactions, are stratified in a five-dimensional manifold.
Journal ArticleDOI
Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension
TL;DR: Experimental limits on Lorentz violation are used within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that four-dimensional physics can in principle depend on the extra coordinates.
Journal ArticleDOI
Orthomatrices and octonions
I.A. Eganova,M.I. Shirokov +1 more
TL;DR: 8 x 8 matrices of a particular form called here orthomatrices are considered and a multiplication rule for them that they can represent octonions is suggested, which is simpler than the usual matrix multiplication.
Journal ArticleDOI
Comment on the paradoxes of gravity and neutrinos
J. D. Edmonds,J. D. Edmonds +1 more
TL;DR: In this article, the authors discuss the problem of false positives and false negatives in the verification process of a false positive in the context of the discovery of the first mass in the solar system.
References
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Journal ArticleDOI
Quaternion wave equations in curved space-time
TL;DR: The quaternion formulation of relativistic quantum theory is extended to include curvilinear coordinates and curved space-time in this article, which provides a promising framework for further exploration of a unified quantum/gravity theory.
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