English

Points. Lack thereof

High Energy Physics - Theory 2019-05-09 v2 General Relativity and Quantum Cosmology History and Philosophy of Physics

Abstract

I will discuss some aspects of the concept of "point" in quantum gravity, using mainly the tool of noncommutative geometry. I will argue that at Planck's distances the very concept of point may lose its meaning. I will then show how, using the spectral action and a high momenta expansion, the connections between points, as probed by boson propagators, vanish. This discussion follows closely [1] (Kurkov-Lizzi-Vassilevich Phys. Lett. B 731 (2014) 311, [arXiv:1312.2235 [hep-th]].

Keywords

Cite

@article{arxiv.1905.01653,
  title  = {Points. Lack thereof},
  author = {Fedele Lizzi},
  journal= {arXiv preprint arXiv:1905.01653},
  year   = {2019}
}

Comments

Proceedings of the XXII Krakow Methodological Conference: Emergence of the Classical, Copernicus Centre, 11-12 October 2018. Mostly based on arXiv:1312.2235. V2 corrects several typos

R2 v1 2026-06-23T08:57:20.243Z