This paper formulates three foundational equations of Granular Entropic Physics (GEP) — the Holy Trinity — from which the physics of the theory derives. The first equation is the microscopic action describing what exists: a complex field on a discrete tetrahedral network with Z2 gauge field. The second equation is the entropy balance describing cosmological evolution: the rate of entropy production from network growth minus the negentropy consumed by topological structures. The third equation is the thermodynamic bridge connecting microstructure to gravity via the Jacobson principle TdS = dE. The paper explicitly maps what the Trinity successfully derives (Kcrit = 3/2, Einstein equations, bounce cosmology, Lambda = const, Starobinsky inflation with nₛ = 0. 9649 and r = 0. 0037, exact logarithmic stress-energy tensor), where working hypotheses apply (dynamical connection of equations I and II via III, identification of rhoₑff as gravitational energy density), and where open problems remain (SM gauge group, closure of the defect creation rate, rigorous Rindler energy flux computation). The paper also identifies the precise limit of the analytic approach: the Z2 vacuum component does not contribute to the Rindler energy flux without an additional postulate, and closing this gap requires numerical simulation of the GEP network. An appendix outlines the hardware and software requirements needed to move the theory forward through simulation. The Holy Trinity is not a closed Theory of Everything. It is an honest map of what GEP can currently derive and what it still needs.
Štěpán Sekanina (Sat,) studied this question.