Sterile Neutrinos, Black Hole Vacuum and Holographic Principle

TL;DR

This paper develops an effective field theory linking sterile neutrinos, black hole vacuum states, and holographic information, revealing spontaneous symmetry breaking and potential scalar bound states due to gravitational effects.

Contribution

It introduces a novel EFT model connecting black hole physics, sterile neutrinos, and holography, with implications for symmetry breaking and scalar bound states.

Findings

Spontaneous symmetry breaking to SU(N)×U(1)/SO(N) occurs with sterile neutrinos.

A dynamical field $ heta_{ij}$ develops a Planck-scale VEV, indicating tachyonic instability.

Multiple scalar fields may exist as nonperturbative gravitational bound states.

Abstract

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, $B_0(x)$. Fermion interactions with SBH's require a random complex spurion field, $\theta_{ij}$, 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, $\langle B_0 \rangle =V$. Integrating sterile neutrino loops, the field $\theta_{ij}$ 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 $SU(N)\times U(1)/SO(N)$ with $N$ degenerate Majorana masses, and $(1/2)N(N+1)$ Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.