https://doi.org/10.1140/epjc/s10052-021-08928-w
Regular Article – Theoretical Physics
Sterile neutrinos, black hole vacuum and holographic principle
1
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
Received:
28
February
2020
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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