Existence Proof of the Goldbach Conjecture Based on Conservation of Additive Symmetry and the Associated Symmetric Sieve

Key Points

• This research aims to provide a rigorous proof of the Goldbach conjecture using new mathematical frameworks.
• Developed an associated symmetric sieve
• Utilized concepts from additive number theory
• Focused on conservation of additive symmetric structure
• Established a rigorous existence proof for the conjecture
• Introduced a new algebraic framework for understanding additive structures