Quantum gravity, the Planck lattice and the Standard Model

1995/03/15 by Giuliano Preparata, Preparata, Giuliano, She-Sheng Xue +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.hep-th/9503102

openalex publication_date 1995/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A possible ground state of Quantum Gravity is Wheeler's ``space-time foam'', which can be modeled as a ``Planck-lattice'', a space-time cubic lattice of lattice constant a_P≃ 10³³cm, the Planck length. I analyse the structure of the Standard Model defined on the Planck Lattice, in the light of the ``no-go'' theorem of Nielsen and Ninomiya, which requires an extension of the continuum model through Nambu-Jona Lasinio terms, quadrilinear in the Fermi-fields. As a result, a theory of masses (of both fermions and gauge bosons) is seen to emerge that, without Higgs excitations, agrees well with observations.

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• The Small Scale Structure of Space-Time: A Bibliographical Review

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