  Using a system of repulsive, soft particles as a model for a jammed solid, we
analyze its force network as characterized by the magnitude of the contact
force between two particles, the local contact angle subtended between three
particles, and the local coordination number. In particular, we measure the
local contact angle distribution as a function of the magnitude of the local
contact force. We find the suppression of small contact angles for locally
larger contact forces, suggesting the existence of chain-like correlations in
the locally larger contact forces. We couple this information with a
coordination number-spin state mapping to arrive at a Potts spin model with
frustration and correlated disorder to draw a potential connection between
jammed solids (no quenched disorder) and spin glasses (quenched disorder). We
use this connection to measure chaos due to marginality in the jammed system.
In addition, we present the replica solution of the one-dimensional, long-range
Potts glass as a potential toy building block for a jammed solid, where a sea
of weakly interacting spins provide for long-range interactions along a
chain-like backbone of more strongly interacting spins.
