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

Key Points

• The research aims to redefine prime numbers based on their structural relationships in number theory.
• Defined prime numbers as a consequence of the structural properties of a pencil of lines on a Cartesian grid.
• Integrated previous theories on information manifolds and modulo-12 lattices to support the framework.
• Analyzed major number theory conjectures such as Goldbach, Riemann, and Twin Primes in relation to the proposed theory.
• Demonstrated that prime numbers can be seen as a ‘mirror image’ of structural saturation in defined systems.
• Outlined how major conjectures are deterministic outcomes of the new theoretical framework.

Abstract