  In the Lorentzian classicalized holographic tensor network (cHTN), we derive
its relativistic on-shell equation from its Lorentzian action in the presence
of a relativistic massive particle in the bulk spacetime: $-\sigma \hbar
\theta=Mc^2$. Here, $\sigma$ is the von Neumann entropy of the cHTN per site in
nats, $\theta$ is the real-proper-time expansion of the cHTN defined along the
world line of the particle, and $M$ is the non-zero mass of the particle. We
explain the physical properties, interpretation, and consequences of this
equation. Specifically, from this equation we derive the properties of the
on-shell proper acceleration of another massive particle in the bulk spacetime
as those of the gravitational acceleration induced by the original massive
particle.
