– In this paper, a sheaf-theoretic approach toward fundamental problems in quantum physics is made. For example, the particle-wave duality depends upon whether or not a presheaf is evaluated at a specified object. The t-topos theoretic interpretations of doubleslit interference, uncertainty principle(s), and the EPR-type non-locality are given. As will be explained, there are more than one type of uncertainty principle: the absolute uncertainty principle coming from the direct limit object… CONTINUE READING

The Heart of Cohomology, to be published by Kluwer-Springer

G. Kato

2005

2 Excerpts

Presheafification of Matter, Space and Time, in Proceedings of International Workshop on Topos and Theoretical Physics, July 2003, Imperial College (invited talk

G. Kato

2004

4 Excerpts

Fundamentals of Algebraic Microlocal Analysis (Marcel