Manifesto on the Structural Rigidity of Odd Natural Numbers Foundational Theory of Projective Primality and Information Manifolds

This paper proposes an epistemological shift in Number Theory by defining the set ofprime numbers P as the necessary and mirror image resulting from the incomplete saturationof a proper pencil of lines F on a discrete Cartesian grid. By integrating previous research onInformation Manifolds and the Modulo-12 Lattice, we demonstrate that major conjectures(Goldbach, Riemann, Twin Primes) are deterministic consequences of the system’s structuralrigidity.