Informational Gravity VI: Emergent Geometry, Thermodynamics, and Dynamics from a Discrete Causal Network

We construct a discrete causal network toy model with four lattice parameters and show that, in the static, spherically symmetric, weak-field sector, it reproduces an emergent conformally flat metric, the Hawking temperature, Bekenstein-Hawking entropy, and the linearised Einstein field equations. The strongest technical result is an explicit Regge calculus construction on the Freudenthal tessellation in 3+1D, verified numerically to machine precision. Newton's constant is fixed by matching the lattice spacing to the Planck length; the model does not predict it. The tensorial extension to gravitational waves, the nonlinear regime, and background independence remain open. This is Paper VI in the Informational Gravity series. Supplementary material includes the numerical code (Regge solver, causal set diagnostics) and the AI cross-checking prompts.