This paper presents the first numerical realization of the Discrete Gravitational Ontology(DGO), a causal and relational framework in which geometry, quantum behavior, and ther-modynamics emerge from discrete updates of probabilistic links. Building on the theoreticalformulation in Asplind (2025, Rev E), we demonstrate through four complementary simula-tions that: (1) local probabilistic updates reproduce smooth curvature consistent with theEinstein–Hilbert (EH) limit; (2) quantum-like propagation and back-reaction arise on therealized record; (3) relational energy–entropy balances satisfy discrete analogues of the firstand second laws; and (4) a minimal seed universe expands self-consistently, exhibiting aninflationary phase followed by a causal regime, with fitted exponents obeying the theoreticalconstraint β ≈ 2α. Together, these results provide quantitative evidence that, within DGO,spacetime, quantum statistics, and thermodynamic irreversibility can emerge from a singlediscrete causal substrate.

This paper extends the formal framework presented in Discrete Gravitational Ontology (RevE) [1]. That version established the theoretical foundation of DGO: a fully discrete, relationalmodel from which spacetime, quantum phenomena, and general-relativistic curvature emergethrough causal updates at the invariant rate c = ℓ0/τ0. The present work pursues two goals:1. To formulate the physical and thermodynamic interpretation of DGO in explicit mathe-matical and plain-language form.2. To present numerical simulations that demonstrate emergent geometry, quantum-like be-havior, and the arrow of time as natural consequences of discrete relational dynamics. Python scripts are included in the ZIP-file with full LaTex source. 

AcknowledgementsThe author thanks colleagues, family, and friends who provided valuable discussion and critiqueof the DGO Rev E formulation. The author also acknowledges the use of OpenAI’s ChatGPTfor assistance in scripting and verifying the toy simulations presented in this paper. The authoris actively seeking formal review and open discussion within the established research communityand welcomes collaboration and further investigation in this area.