Base Ontology V3.7: Physical Realism and Mathematical Reconstruction ——From Continuous Illusion to Discrete Reality

Base Ontology V3.7: From Dynamic Precision to Discrete Reality Building on V3.6’s dynamic precision horizon (Dmax(t)∝log⁡tDmax(t)∝logt), V3.7 extends the finite‑information axiom to mathematics: irrationals (π, √2) are physically unreal—they are limits approached but never instantiated. The real continuum is replaced by a discrete integer lattice; geometry is pixelated, resolving the three mathematical crises. A necessary step toward a discrete foundation of physics and mathematics.