The Grand Unified Manifesto of Integer Physics

This manifesto presents a unified theoretical framework—Integer Physics—which establishes that the laws of mathematics and the constants of physics are not independent, but are deterministic requirements for the stability of a 2D-equivalent information manifold. By defining the Lama Tension Index and the Universal Parity Equation, this research provides a mechanical bridge between discrete number theory and continuous physical reality. The work codifies six fundamental laws that resolve centuries-old mathematical conjectures (Fermat, Beal, $abc$, Riemann, BSD) and derives the physical origins of the Speed of Light (c) and the Quantum Mass Gap (m₀) as structural necessities of manifold stability. Key Contributions (The Six Lama Laws): Metric Parity (Fermat): Proves that stable power relations are strictly confined to $n=2$ due to manifold elasticity limits. The Harmonic Bridge (Beal): Identifies shared prime factors as the mechanical relief required to prevent "Symmetry Collapse" in high-power systems. Radical Density (abc): Establishes the absolute Informational Event Horizon of the number line at a tension index of $2.0$. Harmonic Parity (Riemann): Demonstrates that the Critical Line ($Re(s)=0.5$) is a structural requirement to support the $2.0$ ceiling. Structural Rank (BSD): Explains the rank of elliptic curves as a result of "Modular Slack" ($1/12$) expanding manifold capacity. Universal Stability (Physics): Derives physical constants (c, m₀, ζ(-1)) as the mandatory guardrails preventing manifold tears and singularities.