PIRSA:26020046

A Vacuum as a way to tame uncountable Hilbert spaces

López Raven, A.K. (2026). A Vacuum as a way to tame uncountable Hilbert spaces. Perimeter Institute. https://pirsa.org/26020046

López Raven, Adrián Khalil. A Vacuum as a way to tame uncountable Hilbert spaces. Perimeter Institute, Feb. 09, 2026, https://pirsa.org/26020046 

          @misc{ pirsa_PIRSA:26020046,
            doi = {10.48660/26020046},
            url = {https://pirsa.org/26020046},
            author = {L{\'o}pez Raven, Adri{\'a}n Khalil},
            keywords = {Other},
            language = {en},
            title = {A Vacuum as a way to tame uncountable Hilbert spaces},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {feb},
            note = {PIRSA:26020046 see, \url{https://pirsa.org}}
          }

Adrián Khalil López Raven Perimeter Institute for Theoretical Physics

Talk numberPIRSA:26020046
DOI10.48660/26020046
Collection
Talk Type Scientific Series
Subject

Abstract

When dealing with QFTs or with quantum mechanical systems in the thermodynamic limit, one encounters uncountable Hilbert spaces. These are mathematically wilder and physically less realistic than their countable counterparts. In this talk, we will explore how vacua encode a choice to reduce the Hilbert Space in size. In spite of the mathematically sounding intro, we’ll see this has interesting physical implications.