IJPAM: Volume 11, No. 4 (2004)

ON QUANTUM PHYSICS AND
NON-COMMUTATIVE GEOMETRY

Lucian M. Ionescu
Department of Mathematics
Illinois State University
1504, N. Hershey Rd., Bloomington, IL 61704, USA
e-mail: LMIones@ilstu.edu


Abstract.The quantum-event (prime ideal in a category) noncommutative-point alternative to classical-event (commutative prime ideal) point is suggested.

Ideals in additive categories, prime spectra and representation of quivers are considered as mathematical tools appropriate to model quantum mechanics. The space-time framework is to be reconstructed from the spectrum of the path category of a quiver.

Received: December 5, 2003

AMS Subject Classification: 58D30, 81R99

Key Words and Phrases: ideals, spectrum, quiver, Feynman diagrams, TQFT

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 11
Issue: 4