Conformal compacifications from spinor geometry

Details Conformal compacifications from spinor geometry Conformal compacifications from spinor geometry

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993foph...23..949b&link_type=abstract

Foundations of Physics, Volume 23, Issue 6, pp.949-963

Physics

5

Scientific paper

Compactified Minkowski spacetime is suggested by conformal covariance of Maxwell equations, while E. Cartan's definition of simple spinors leads to the idea of compactified momentum space. Assuming both diffeomorphic to (S 3 × S 1 )/Z 2 , one may obtain in the conformally flat stereographic projection field theories both infrared and ultraviolet regularized. On the compact manifold themselves instead, Fourier integrals of wave-field oscillations would have to be replaced by Fourier series summed over indices of spherical eigenfunctions: n, l, m, m'. Tentatively identifying those wave structures with spacetime itself (in the frame of Big-Bang) and/or with matter and radiation distribution, some large-scale (hydrogenic) and small-scale (lattice) space structures are conjectured.

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