Conformal compactifications from spinor geometry

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Foundations of Physics; (United States)

DOI:https://doi.org/10.1007/BF01891517· OSTI ID:5971362

Budinich, P ^[1]

---

1. International Centre for Theoretical Physics, Trieste (Italy)

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[sub 3] [times] S[sub 1])/Z[sub 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[prime]. 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. 14 refs.

• OSTI ID: 5971362
• Journal Information: Foundations of Physics; (United States), Vol. 23:6; ISSN 0015-9018
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MINKOWSKI SPACE
COMPACTIFICATION
SPINORS
GEOMETRY
MAXWELL EQUATIONS
CONFORMAL GROUPS
EIGENFUNCTIONS
FIELD THEORIES
FOURIER TRANSFORMATION
SPACE-TIME
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
LIE GROUPS
MATHEMATICAL SPACE
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
SYMMETRY GROUPS
TRANSFORMATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)