  This work investigates a modified Schelling model within the scope and aims
of Social Physics. The main purpose is to see if how the concepts of potential
and kinetic energy can be represented within a computational sociological
system. A monetary value is assigned to all the agents in the Monetary
Schelling model and a set of dynamics for how the money is spent upon agent
position changes and gradual loss. The introduction of the potential and
kinetic energy allows for the entropy to be calculated based upon the
distribution of the agent energies and as well as the internal energy of the
system at each time point. The results show how the movements of the agents
produce identity satisfactions with their neighbors decreasing the internal
energy of the system along with the decay in the monetary holdings. Simulations
are run where agents are provided monetary values at fixed intervals and this
causes a subset of the agents to mobilize and explore new positions for
satisfaction and increases the entropy with the internal energy removing the
system from the fixed point.
