Goldbach's Conjecture Proof of its Interaction with the Riemann Hypothesis and the Golden Spiral via Inner Number Digit Summation (INDS)

In this study, a method for proving Goldbach's conjecture is presented based on the internal digit sum (INDS) of numbers and the grouping of prime and non-prime numbers. Goldbach's conjecture establishes a direct connection between the intrinsic properties of numbers, the golden spiral, and the Riemann hypothesis. Despite the validity of Goldbach's conjecture, a comprehensive mathematical proof has yet to be provided. According to Goldbach's conjecture, every even composite number can be expressed as the sum of two prime numbers. Based on the INDS of the composite number and the INDS of the two corresponding prime numbers, all scenarios related to Goldbach's conjecture can be reformulated. Using the grouping of prime numbers and the constant trigonometric ratios in the golden spiral—connected to the critical strip of the Riemann zeta function, the rotational factor of the coordinate system toward the origin at point 0.5, and the preservation of the properties of different groups of numbers—Goldbach's conjecture is formulated. This study explores the significance of Goldbach's conjecture in unifying mathematical functions and number theory.