Regular Article – Theoretical Physics
Sterile neutrinos, black hole vacuum and holographic principle
Departament de Física Teòrica and IFIC, Universitat de València-CSIC, 46100, Burjassot, Spain
2 Theoretical Physics Department, Fermi National Accelerator Laboratory, P. O. Box 500, 60510, Batavia, IL, USA
Accepted: 1 February 2021
Published online: 13 February 2021
We construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH’s), treated as a scalar field, . Fermion interactions with SBH’s require a complex spurion field, , which we interpret as the EFT description of “holographic information,” which is correlated with the SBH as a composite system. We consider Hawking’s virtual black hole vacuum (VBH) as a Higgs phase, . Integrating sterile neutrino loops, the information field is promoted to a dynamical field, necessarily developing a tachyonic instability and acquiring a VEV of order the Planck scale. For N sterile neutrinos this breaks the vacuum to with N degenerate Majorana masses, and Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.
© The Author(s) 2021
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