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

Key Points

• This work aims to redefine the foundations of physics and mathematics by transitioning from a continuous to a discrete framework.
• Extended finite-information axiom to include mathematical constructs.
• Reconceptualized irrationals as limits rather than instantiated values.
• Outlined the implications for geometry in a discrete setting.
• Established that the real continuum is effectively replaced by a discrete integer lattice.
• Resolved three major mathematical crises through this new framework.
• Demonstrated that the physical reality is better modeled with discrete structures.