IJPAM: Volume 11, No. 4 (2004)
Department of Mathematics
Illinois State University
1504, N. Hershey Rd., Bloomington, IL 61704, USA
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