I am looking for a simple explanation as how spectral triples give rise to definition of distance using Dirac operators?

# Is there an introduction to non-commutative geometry?

Is there an introduction to non-commutative geometry?

I am looking for a simple explanation as how spectral triples give rise to definition of distance using Dirac operators?

I am looking for a simple explanation as how spectral triples give rise to definition of distance using Dirac operators?