This paper develops the Law of Continuity of Being (LCS) as a pre-geometric framework from which spacetime and gravity emerge as effective structures. Starting from the apodeictic proposition “Sum”, the work derives a relational ontological substrate (O, ⪯, Ω), constructs a pre-geometric variational principle δDΩ = 0, and shows that an effective Lorentzian metric g⏛⏜ and the Einstein–Hilbert action arise in the continuum limit. A dual reconstruction mechanism is introduced: (1) chain-volume geometry (Fchain) and (2) spectral geometry (Fₛpec). A computational experiment (Appendix A) verifies the convergence theorem, showing Δg → 0 as N → ∞ and an exact spectral dimension dₛpec = 2. 0000. Matter is identified as a configuration of the defect field φ = Ωₘax − Ω, and the corresponding stress-energy tensor emerges without additional postulates. The framework is fully falsifiable through predictions in galactic rotation curves, cosmology, gravitational waves, and black hole structure. Spacetime is not fundamental: it is the visible equilibrium of continuity. This work includes a computational appendix with executable pseudocode and numerical validation of metric convergence and is part of the research program “Law of Continuity of Being (LCS) ”.
Guillermo C. Barraza (Mon,) studied this question.