Positive Energy Projectors and Spinors

摘要

In spectral geometry, physical concepts may become a source of geometric data.Here, we examine the vacuum given by a complex structure on phase space. The vacuumprovides a soldering form for internal degrees of freedom providing them thus with spatialsignificance and eventually allowing them to be interpreted as spinors. To show more clearlythe possibilities and limitations, the example of a discretized torus is discussed.