Phys. Rev. Lett. 56, 1532 - 1533 (1986)

Hyperspin and Hyperspace

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David Finkelstein
Georgia Institute of Technology, Atlanta, Georgia 30332

Received 26 December 1985

A spinorial time-space GN that supports a Kaluza-Klein theory of gauge potentials can be made from N-component spinors of SL(N,C) in the way that the Minkowskian manifold (an G2) is made from two-component spinors of SL(2,C). GN has dimension n=N2 and fundamental form det (kΣΣ̇)=0 of degree N, not 2. GN unifies the photon and graviton with gauge quanta of all integer spins s with 2<s<N.


©1986 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v56/p1532
DOI: 10.1103/PhysRevLett.56.1532
PACS: 04.50.+h, 02.40.+m, 11.10.Kk

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