Author:
Barenboim Gabriela,Hill Christopher T.
Abstract
AbstractWe construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH’s), treated as a scalar field, $$B_0(x)$$
B
0
(
x
)
. Fermion interactions with SBH’s require a complex spurion field, $$\theta _{ij}$$
θ
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, $$\langle B_0 \rangle =V$$
⟨
B
0
⟩
=
V
. Integrating sterile neutrino loops, the information field $$\theta _{ij}$$
θ
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 $$SU(N)\times U(1)/SO(N)$$
S
U
(
N
)
×
U
(
1
)
/
S
O
(
N
)
with N degenerate Majorana masses, and $$\frac{1}{2}N(N+1)$$
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.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)