A New Topological Perspective on Quantization in Physics

Hooman Rahimizadeh, Stan Sholar, Michael Berg

Abstract


We propose a new characterization of classical quantization in physics in terms of sheaf cohomology on the site of spacetime as a smooth 4-manifold. The perspective of sheaf cohomology is motivated by a presentation of the Aharonov-Bohm effect in terms of the integration of differential forms.

Keywords


Quantization; de Rham cohomology; Sheaf cohomology

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eISSN 0975-8607; pISSN 0976-5905