Understanding truncated non-commutative geometries through computer simulations

  title={Understanding truncated non-commutative geometries through computer simulations},
  author={L. Glaser and Abel B. Stern},
  journal={arXiv: Mathematical Physics},
  • L. Glaser, A. Stern
  • Published 17 September 2019
  • Mathematics, Physics
  • arXiv: Mathematical Physics
When aiming to apply mathematical results of non-commutative geometry to physical problems the question arises how they translate to a context in which only a part of the spectrum is known. In this article we aim to detect when a finite-dimensional triple is the truncation of the Dirac spectral triple of a spin manifold. To that end, we numerically investigate the restriction that the higher Heisenberg equation places on a truncated Dirac operator. We find a bounded perturbation of the Dirac… 

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